Light, the universe and everything – 12 Herculean tasks for quantum cowboys and black diamond skiers

Abstract The Winter Colloquium on the Physics of Quantum Electronics (PQE) has been a seminal force in quantum optics and related areas since 1971. It is rather mind-boggling to recognize how the concepts presented at these conferences have transformed scientific understanding and human society. In January 2017, the participants of PQE were asked to consider the equally important prospects for the future, and to formulate a set of questions representing some of the greatest aspirations in this broad field. The result is this multi-authored paper, in which many of the world’s leading experts address the following fundamental questions: (1) What is the future of gravitational wave astronomy? (2) Are there new quantum phases of matter away from equilibrium that can be found and exploited – such as the time crystal? (3) Quantum theory in uncharted territory: What can we learn? (4) What are the ultimate limits for laser photon energies? (5) What are the ultimate limits to temporal, spatial and optical resolution? (6) What novel roles will atoms play in technology? (7) What applications lie ahead for nitrogen-vacancy centres in diamond? (8) What is the future of quantum coherence, squeezing and entanglement for enhanced super-resolution and sensing? (9) How can we solve (some of) humanity’s biggest problems through new quantum technologies? (10) What new understanding of materials and biological molecules will result from their dynamical characterization with free-electron lasers? (11) What new technologies and fundamental discoveries might quantum optics achieve by the end of this century? (12) What novel topological structures can be created and employed in quantum optics?

[1]  G. Roger,et al.  Experimental Test of Bell's Inequalities Using Time- Varying Analyzers , 1982 .

[2]  D. P. Tsai,et al.  Resonant Transparency and Non-Trivial Non-Radiating Excitations in Toroidal Metamaterials , 2013, Scientific Reports.

[3]  Marlan O. Scully,et al.  Condensation of N Bosons and the Laser Phase Transition Analogy , 1999 .

[4]  Audrey Lee-Gosselin,et al.  Mapping the microscale origins of magnetic resonance image contrast with subcellular diamond magnetometry , 2016, Nature Communications.

[5]  Feng Wang,et al.  Topological valley transport at bilayer graphene domain walls , 2015, Nature.

[6]  M. S. Zubairy,et al.  FAST CARS: Engineering a laser spectroscopic technique for rapid identification of bacterial spores , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Hengyun Zhou,et al.  Observation of discrete time-crystalline order in a disordered dipolar many-body system , 2016, Nature.

[8]  Joachim Knittel,et al.  Biological measurement beyond the quantum limit , 2012, Nature Photonics.

[9]  H. Motz,et al.  Applications of the Radiation from Fast Electron Beams , 1951 .

[10]  John M. J. Madey,et al.  First Operation of a Free-Electron Laser , 1977 .

[11]  E. Yablonovitch.  Photonic crystals: semiconductors of light. , 2001, Scientific American.

[12]  Nikolay I. Zheludev,et al.  Generation of flying electromagnetic doughnuts via spatiotemporal conversion of transverse electromagnetic pulses , 2017 .

[13]  A. Zeilinger,et al.  Significant-Loophole-Free Test of Bell's Theorem with Entangled Photons. , 2015, Physical review letters.

[14]  S. Debnath,et al.  Demonstration of a small programmable quantum computer with atomic qubits , 2016, Nature.

[15]  V. D'Ambrosio,et al.  Complete experimental toolbox for alignment-free quantum communication , 2012, Nature Communications.

[16]  H. Weinfurter,et al.  Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes. , 2016, Physical review letters.

[17]  KIPACStanford,et al.  Implication of neutrino backgrounds on the reach of next generation dark matter direct detection experiments , 2013, 1307.5458.

[18]  Saikat Guha,et al.  Quantum Key Distribution Using Multiple Gaussian Focused Beams , 2016, 1604.08582.

[19]  Wolfgang P. Schleich,et al.  Entanglement and analytical continuation: an intimate relation told by the Riemann zeta function , 2013 .

[20]  Prescott,et al.  Large and infinite extra dimensions , 2001, hep-ph/0104152.

[21]  D. Matsukevich,et al.  Entanglement of single-atom quantum bits at a distance , 2007, Nature.

[22]  Marlan O. Scully.  A simple laser linac , 1990 .

[23]  Gerald T. Moore,et al.  Nonlinear Theory of Free-Electron Devices , 1978 .

[24]  M. Raizen,et al.  Demonstration of magnetically activated and guided isotope separation , 2014, Nature Physics.

[25]  M. Murnane,et al.  Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers , 2012, Science.

[26]  Robert W Boyd,et al.  Influence of atmospheric turbulence on the propagation of quantum states of light using plane-wave encoding. , 2011, Optics express.

[27]  H. Weinfurter,et al.  Violation of Bell's Inequality under Strict Einstein Locality Conditions , 1998, quant-ph/9810080.

[28]  Hawthorne,et al.  Spin-polarized 3He-4He solutions: Longitudinal spin diffusion and nonlinear spin dynamics. , 1992, Physical review. B, Condensed matter.

[29]  Jacob M. Taylor,et al.  High-sensitivity diamond magnetometer with nanoscale resolution , 2008, 0805.1367.

[30]  Irene Marzoli,et al.  Quantum carpets, carpets of light , 2001 .

[31]  M. Soljačić,et al.  Topological photonics , 2014, Nature Photonics.

[32]  V. Ginzburg,et al.  PHYSICS OF OUR DAYS: What problems of physics and astrophysics seem now to be especially important and interesting (thirty years later, already on the verge of XXI century)? , 1999 .

[33]  S Gong.  ENHANCEMENT OF THE INDEX OF REFRACTION VIA QUANTUM INTERFERENCE IN A SIMPLE THREE-LEVEL ATOMIC SYSTEM , 1995 .

[34]  Marlan O. Scully,et al.  The QASER revisited: insights gleaned from analytical solutions to simple models , 2014 .

[35]  Clifford M. Will,et al.  Theory and Experiment in Gravitational Physics: Frontmatter , 1993 .

[36]  M. Berry.  Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[37]  Svenja Knappe,et al.  Subpicotesla atomic magnetometry with a microfabricated vapour cell , 2007 .

[38]  Frank Wilczek,et al.  Superfluidity and space-time translation symmetry breaking. , 2013, Physical review letters.

[39]  Renato Renner,et al.  The ultimate physical limits of privacy , 2014, Nature.

[40]  K. Zhao,et al.  The generation, characterization and applications of broadband isolated attosecond pulses , 2014, Nature Photonics.

[41]  E. Solano,et al.  Quantum imaging with incoherent photons , 2007, 2007 Quantum Electronics and Laser Science Conference.

[42]  Morgan W. Mitchell,et al.  Sub-projection-noise sensitivity in broadband atomic magnetometry. , 2010, Physical review letters.

[43]  L O Love,et al.  Electromagnetic Separation of Isotopes at Oak Ridge , 1973, Science.

[44]  Yaron Silberberg,et al.  Sub-Rayleigh lithography using high flux loss-resistant entangled states of light. , 2012, Physical review letters.

[45]  M. Kasevich,et al.  Matter wave lensing to picokelvin temperatures. , 2014, Physical review letters.

[46]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[47]  Roberta Ramponi,et al.  Measuring protein concentration with entangled photons , 2011, 1109.3128.

[48]  Aaron T. Kuan,et al.  Solar nebula magnetic fields recorded in the Semarkona meteorite , 2014, Science.

[49]  Edward M. Purcell,et al.  Visible Light from Localized Surface Charges Moving across a Grating , 1953 .

[50]  Mohammad Hafezi,et al.  Robust optical delay lines with topological protection , 2011, 1102.3256.

[51]  A. Polyakov,et al.  The string dilation and a least coupling principle , 1994, hep-th/9401069.

[52]  W. J. Weber,et al.  The Gravitational Universe , 2013, 1305.5720.

[53]  S. Schreck,et al.  Stimulated X-ray emission for materials science , 2013, Nature.

[54]  M. D. Lukin,et al.  Optical magnetic imaging of living cells , 2013, Nature.

[55]  S. Roth,et al.  Solitons in polyacetylene , 1987 .

[56]  M. Kasevich,et al.  Multiaxis inertial sensing with long-time point source atom interferometry. , 2013, Physical review letters.

[57]  Jun Zhang,et al.  Generation of 9 MeV γ-rays by all-laser-driven Compton scattering with second-harmonic laser light. , 2014, Optics letters.

[58]  Dan Oron,et al.  Superresolution microscopy with quantum emitters. , 2013, Nano letters.

[59]  Richard A. London,et al.  Atomic inner-shell X-ray laser at 1.46 nanometres pumped by an X-ray free-electron laser , 2012, Nature.

[60]  Joseph H. Eberly,et al.  Quantum Optics in Phase Space , 2002 .

[61]  P. W. Hess,et al.  Observation of a discrete time crystal , 2016, Nature.

[62]  V. A. Antonov,et al.  Formation and amplification of subfemtosecond x-ray pulses in a plasma medium of hydrogenlike ions with a modulated resonant transition , 2017 .

[63]  Alexandre Loulergue,et al.  Towards a free electron laser based on laser plasma accelerators , 2014 .

[64]  B. J. Lawrie,et al.  Ultrasensitive measurement of MEMS cantilever displacement sensitivity below the shot noise limit , 2014, 1405.4767.

[65]  Yiping Feng,et al.  Anomalous nonlinear X-ray Compton scattering , 2015, Nature Physics.

[66]  B Andrei Bernevig,et al.  Quantum spin Hall effect. , 2005, Physical review letters.

[67]  Anonymous,et al.  Erratum: Tests of General Relativity with GW150914 [Phys. Rev. Lett. 116, 221101 (2016)]. , 2018, Physical review letters.

[68]  Slava G. Turyshev,et al.  Progress in lunar laser ranging tests of relativistic gravity. , 2004 .

[69]  F. Sorrentino,et al.  Quantum test of the equivalence principle for atoms in coherent superposition of internal energy states , 2017, Nature Communications.

[70]  M. A. Rol,et al.  Repeated quantum error correction on a continuously encoded qubit by real-time feedback , 2015, Nature Communications.

[71]  E. J. Mele,et al.  Quantum spin Hall effect in graphene. , 2004, Physical review letters.

[72]  Aroosa Ijaz,et al.  Optical and microwave control of germanium-vacancy center spins in diamond , 2016, 1612.02947.

[73]  G. Agarwal,et al.  Subnanoscale resolution for microscopy via coherent population trapping. , 2010, Optics letters.

[74]  D Budker,et al.  Temperature dependence of the nitrogen-vacancy magnetic resonance in diamond. , 2009, Physical review letters.

[75]  Jamie Ryan Gardner.  Neutral Atom Imaging Using a Pulsed Electromagnetic Lens , 2017 .

[76]  Michel C. Delfour,et al.  Quantum Control - Mathematical and Numerical Challenges: CRM Workshop, Montreal, Canada, October 6-11, 2002 , 2003, CRM Workshop.

[77]  D Huet,et al.  Tests of General Relativity with GW150914. , 2016, Physical review letters.

[78]  Robert W. Boyd,et al.  Supersensitive measurement of angular displacements using entangled photons , 2011 .

[79]  Marlan O. Scully,et al.  Quantum theory of an optical maser. , 1966 .

[80]  M. Gustafsson.  Nonlinear structured-illumination microscopy: wide-field fluorescence imaging with theoretically unlimited resolution. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[81]  Bela Bauer,et al.  Pre-thermal phases of matter protected by time-translation symmetry , 2016, 1607.05277.

[82]  Philip Hemmer,et al.  All-optical initialization, readout, and coherent preparation of single silicon-vacancy spins in diamond. , 2014, Physical review letters.

[83]  Nikolay I Zheludev,et al.  Super-resolution without evanescent waves. , 2008, Nano letters.

[84]  H. Wagner.  THE ELECTROMAGNETIC SEPARATION OF ISOTOPES , 1964 .

[85]  Joel E Moore,et al.  The birth of topological insulators , 2010, Nature.

[86]  U. Leonhardt.  A laboratory analogue of the event horizon using slow light in an atomic medium , 2002, Nature.

[87]  V. Ginzburg,et al.  What problems of physics and astrophysics seem now to be especially important and interesting (thirty years later, already on the verge of XXI century)? , 1999 .

[88]  Ulf Leonhardt.  Quantum catastrophe of slow light , 2001 .

[89]  Nunes,et al.  Longitudinal spin diffusion and nonlinear spin dynamics in a dilute 3He-4He solution. , 1990, Physical review letters.

[90]  S. Hell.  Nanoscopy with Focused Light (Nobel Lecture). , 2015, Angewandte Chemie.

[91]  Albert Roura,et al.  Circumventing Heisenberg's Uncertainty Principle in Atom Interferometry Tests of the Equivalence Principle. , 2015, Physical review letters.

[92]  Joseph M. Kahn,et al.  Capacity limits of spatially multiplexed free-space communication , 2015 .

[93]  M. Raizen,et al.  Comprehensive Control of Atomic Motion , 2009, Science.

[94]  Michael Hohensee,et al.  Sources and technology for an atomic gravitational wave interferometric sensor , 2010, 1001.4821.

[95]  F. Barone,et al.  Advanced Virgo: a 2nd generation interferometric gravitational wave detector , 2014 .

[96]  Jim Al-Khalili,et al.  Life on the Edge: The Coming of Age of Quantum Biology , 2014 .

[97]  S. Wehner,et al.  Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres , 2015, Nature.

[98]  Sandu Popescu,et al.  Evolution of quantum superoscillations, and optical superresolution without evanescent waves , 2006 .

[99]  Frank Wilczek,et al.  Classical time crystals. , 2012, Physical review letters.

[100]  M. Kasevich,et al.  Quantum superposition at the half-metre scale , 2015, Nature.

[101]  Gunnar Björk,et al.  Orbital angular momentum modes do not increase the channel capacity in communication links , 2015 .

[102]  J. Hajdu,et al.  Potential for biomolecular imaging with femtosecond X-ray pulses , 2000, Nature.

[103]  Nikolay Zheludev,et al.  Focused electromagnetic doughnut pulses and their interaction with interfaces and nanostructures. , 2015, Optics express.

[104]  David E. Pritchard,et al.  Optics and Interferometry with Atoms and Molecules , 2009 .

[105]  Kishore T. Kapale,et al.  Extreme subwavelength atom localization via coherent population trapping , 2008 .

[106]  M. Segev,et al.  Photonic Floquet topological insulators , 2012, Nature.

[107]  Christian Eggeling,et al.  STED microscopy reveals crystal colour centres with nanometric resolution. , 2009 .

[108]  Raymond G. Beausoleil,et al.  Spin-flip and spin-conserving optical transitions of the nitrogen-vacancy centre in diamond , 2008 .

[109]  N I Zheludev,et al.  Electromagnetic toroidal excitations in matter and free space. , 2016, Nature materials.

[110]  Nikolay I. Zheludev,et al.  Focusing of Light by a Nano-Hole Array , 2006 .

[111]  Wang Yao,et al.  Valley-dependent optoelectronics from inversion symmetry breaking , 2007, 0705.4683.

[112]  Fengzhou Fang,et al.  Topological photonic phase in chiral hyperbolic metamaterials. , 2015, Physical review letters.

[113]  Gennady Shvets,et al.  Photonic topological insulators. , 2012, Nature materials.

[114]  Gabriele Veneziano,et al.  Dilaton couplings at large distances , 1988 .

[115]  C. Will.  The Confrontation between General Relativity and Experiment , 1980, Living reviews in relativity.

[116]  R. N. Schouten,et al.  Unconditional quantum teleportation between distant solid-state quantum bits , 2014, Science.

[117]  Bernard F. Schutz,et al.  Low-frequency gravitational-wave science with eLISA/NGO , 2012, 1202.0839.

[118]  B. Hensen,et al.  High-fidelity projective read-out of a solid-state spin quantum register , 2011, Nature.

[119]  Gennady Shvets,et al.  Guiding electromagnetic waves around sharp corners: topologically protected photonic transport in metawaveguides. , 2015, Physical review letters.

[120]  Raymond G. Beausoleil,et al.  Diamonds with a high density of nitrogen-vacancy centers for magnetometry applications , 2009 .

[121]  Nikolay I. Zheludev,et al.  Toroidal dipolar excitation and macroscopic electromagnetic properties of metamaterials , 2014 .

[122]  Lee A. Rozema,et al.  Scalable spatial super-resolution using entangled photons , 2014, CLEO 2014.

[123]  W. Ketterle.  Nobel lecture: When atoms behave as waves: Bose-Einstein condensation and the atom laser* , 2002 .

[124]  G. Tino,et al.  Test of Einstein equivalence principle for 0-spin and half-integer-spin atoms: search for spin-gravity coupling effects. , 2014, Physical review letters.

[125]  D. Gauthier,et al.  High-dimensional quantum cryptography with twisted light , 2014, 1402.7113.

[126]  Jean-Michel Claverie,et al.  Three-dimensional reconstruction of the giant mimivirus particle with an x-ray free-electron laser. , 2015, Physical review letters.

[127]  P Cappellaro,et al.  Fourier magnetic imaging with nanoscale resolution and compressed sensing speed-up using electronic spins in diamond. , 2014, Nature nanotechnology.

[128]  Gaël Varoquaux,et al.  How to estimate the differential acceleration in a two-species atom interferometer to test the equivalence principle , 2009, 0910.2412.

[129]  N. Chisholm,et al.  Magnetic resonance detection of individual proton spins using quantum reporters. , 2014, Physical review letters.

[130]  Marlan O. Scully,et al.  Quantum optics approach to radiation from atoms falling into a black hole , 2017, Proceedings of the National Academy of Sciences.

[131]  Zheng Wang,et al.  Observation of unidirectional backscattering-immune topological electromagnetic states , 2009, Nature.

[132]  Savas Dimopoulos,et al.  General Relativistic Effects in Atom Interferometry , 2008, 0802.4098.

[133]  Alberto Sesana,et al.  Multi-band gravitational wave astronomy: science with joint space- and ground-based observations of black hole binaries , 2017, 1702.04356.

[134]  David C. Eder.  X-Ray Lasers , 1998 .

[135]  Holger Ahlers,et al.  Interferometry with Bose-Einstein condensates in microgravity , 2011, 2011 Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference (CLEO EUROPE/EQEC).

[136]  Johndale C. Solem,et al.  Recoilless gamma-ray lasers , 1997 .

[137]  Marcel den Nijs.  Quantized Hall conductance in a two dimensional periodic potential , 1984 .

[138]  G. F. Mkrtchian,et al.  Self-amplified gamma-ray laser on positronium atoms from a Bose-Einstein condensate. , 2014, Physical review letters.

[139]  A. Willner,et al.  Terabit free-space data transmission employing orbital angular momentum multiplexing , 2012, Nature Photonics.

[140]  S. Dimopoulos,et al.  Macroscopic forces from supersymmetry , 1996, hep-ph/9602350.

[141]  P. Agostini,et al.  The physics of attosecond light pulses , 2004 .

[142]  Eric Esarey,et al.  Physics of laser-driven plasma-based electron accelerators , 2009 .

[143]  R. Hellwarth,et al.  Focused one-cycle electromagnetic pulses. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[144]  X. Chen,et al.  Test of Equivalence Principle at 10(-8) Level by a Dual-Species Double-Diffraction Raman Atom Interferometer. , 2015, Physical review letters.

[145]  Hannes Bernien,et al.  Control and coherence of the optical transition of single nitrogen vacancy centers in diamond. , 2010, Physical review letters.

[146]  J. J. Stoker.  Nonlinear Vibrations in Mechanical and Electrical Systems , 1950 .

[147]  Vladimír Bužek,et al.  Quantum statistics of grey-body radiation , 1998 .

[148]  Scott Wilde,et al.  Simulations of Non-linear Spin Dynamics in Spin Polarized Dilute 3He–4He Mixtures , 2013 .

[149]  R. Lindberg,et al.  Demonstration of self-seeding in a hard-X-ray free-electron laser , 2012, Nature Photonics.

[150]  D D Awschalom,et al.  Electrical tuning of single nitrogen-vacancy center optical transitions enhanced by photoinduced fields. , 2011, Physical review letters.

[151]  W. Schleich.  Quantum Optics in Phase Space: SCHLEICH:QUANTUM OPTICS O-BK , 2005 .

[152]  M. Kasevich,et al.  New method for gravitational wave detection with atomic sensors. , 2012, Physical review letters.

[153]  L. Molenkamp,et al.  Quantum Spin Hall Insulator State in HgTe Quantum Wells , 2007, Science.

[154]  S Schlamminger,et al.  Test of the equivalence principle using a rotating torsion balance. , 2007, Physical review letters.

[155]  D. Hilbert.  Mathematical Problems , 2019, Mathematics: People · Problems · Results.

[156]  Shou-Cheng Zhang,et al.  Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells , 2006, Science.

[157]  Keiji Sasaki,et al.  Beating the Standard Quantum Limit with Four-Entangled Photons , 2007, Science.

[158]  Ritva Keski-Kuha,et al.  An atomic gravitational wave interferometric sensor in low earth orbit (AGIS-LEO) , 2010, 1009.2702.

[159]  Marlan O Scully,et al.  Collective lamb shift in single photon Dicke superradiance. , 2009, Physical review letters.

[160]  Nikolay Zheludev,et al.  Focusing of light by a nanohole array , 2007 .

[161]  M. Raizen,et al.  Communication: Neutral atom imaging using a pulsed electromagnetic lens. , 2017, The Journal of chemical physics.

[162]  N. Loh,et al.  Reconstruction algorithm for single-particle diffraction imaging experiments. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[163]  S. Wiggins.  Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[164]  D. Batens,et al.  Theory and Experiment , 1988 .

[165]  Dong He,et al.  Satellite-based entanglement distribution over 1200 kilometers , 2017, Science.

[166]  Abrams,et al.  Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit , 1999, Physical review letters.

[167]  A. Zeilinger,et al.  Twisted light transmission over 143 km , 2016, Proceedings of the National Academy of Sciences.

[168]  E. Knill,et al.  A strong loophole-free test of local realism , 2015, 2016 Conference on Lasers and Electro-Optics (CLEO).

[169]  Christoph H. Keitel,et al.  Dominant Secondary Nuclear Photoexcitation with the X-ray Free Electron Laser , 2013, 1309.5835.

[170]  Philippe Zeitoun,et al.  X-Ray Lasers 2012 , 2014 .

[171]  Marko Loncar,et al.  Readout and control of a single nuclear spin with a metastable electron spin ancilla. , 2013, Nature nanotechnology.

[172]  Nikolay I. Zheludev,et al.  Optical super-oscillations: sub-wavelength light focusing and super-resolution imaging , 2013 .

[173]  A. Landragin,et al.  Comparison between two mobile absolute gravimeters: optical versus atomic interferometers , 2010, 1005.0357.

[174]  M. V. Berry,et al.  Integer, fractional and fractal Talbot effects , 1996 .

[175]  Xiao Hu,et al.  Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material. , 2015, Physical review letters.

[176]  F. D. M. Haldane,et al.  Analogs of quantum-Hall-effect edge states in photonic crystals , 2008 .

[177]  Roy Maartens,et al.  Brane-World Gravity , 2004, Living reviews in relativity.

[178]  Jacob M. Taylor,et al.  Nanoscale magnetic sensing with an individual electronic spin in diamond , 2008, Nature.

[179]  Marlan O. Scully,et al.  The Lamb Shift—Yesterday, Today, and Tomorrow , 2010, Science.

[180]  J. P. López-Zaragoza,et al.  Sub-Femto-g Free Fall for Space-Based Gravitational Wave Observatories: LISA Pathfinder Results. , 2016, Physical review letters.

[181]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[182]  W. Schleich,et al.  Double Bragg Interferometry. , 2016, Physical review letters.

[183]  D. P. Tsai,et al.  Non-Trivial Non-Radiating Excitation as a Mechanism of Resonant Transparency in Toroidal Metamaterials , 2012, 1211.3840.

[184]  D. Gottesman,et al.  Longer-baseline telescopes using quantum repeaters. , 2011, Physical review letters.

[185]  P. G. Thirolf,et al.  Vision of nuclear physics with photo-nuclear reactions by laser-driven $\sf \gamma$ beams , 2009 .

[186]  Artem Rudenko,et al.  AMO science at the FLASH and European XFEL free-electron laser facilities , 2013 .

[187]  Vaidman,et al.  Measurements, errors, and negative kinetic energy. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[188]  Christoph Becher,et al.  Photophysics of single silicon vacancy centers in diamond: implications for single photon emission. , 2012, Optics express.

[189]  Deniz Yavuz,et al.  Subwavelength Localization of Atomic Excitation Using Electromagnetically Induced Transparency , 2013 .

[190]  Frank Wilczek,et al.  Quantum time crystals. , 2012, Physical review letters.

[191]  H. Motz,et al.  EXPERIMENTS ON RADIATION BY FAST ELECTRON BEAMS , 1953 .

[192]  Ronald L. Walsworth,et al.  Imaging the Spin Texture of a Skyrmion Under Ambient Conditions Using an Atomic-Sized Sensor , 2016 .

[193]  Jonathan Rosenberg,et al.  Novikov's Conjecture , 2015, Open Problems in Mathematics.

[194]  J. Bekenstein.  Black Holes and Entropy , 1973, Jacob Bekenstein.

[195]  Qian Niu,et al.  Berry phase effects on electronic properties , 2009, 0907.2021.

[196]  Jeff Gelb,et al.  Evaluating the paleomagnetic potential of single zircon crystals using the Bishop Tuff , 2016, 1605.08479.

[197]  Charles W. Clark,et al.  Spinor Bose-Einstein condensates of positronium , 2014, 1402.5159.

[198]  M. Gustafsson.  Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy , 2000, Journal of microscopy.

[199]  Savas Dimopoulos,et al.  Atomic gravitational wave interferometric sensor , 2008, 0806.2125.

[200]  P. C. Humphreys,et al.  Entanglement distillation between solid-state quantum network nodes , 2017, Science.

[201]  Ronald Walsworth,et al.  A method for directional detection of dark matter using spectroscopy of crystal defects , 2017, 1705.09760.

[202]  Marlan O. Scully,et al.  Classical theory of a free-electron laser (A) , 1976 .

[203]  M. Wilde,et al.  Optical Atomic Clocks , 2019, 2019 URSI Asia-Pacific Radio Science Conference (AP-RASC).

[204]  Scully,et al.  Enhancement of the index of refraction via quantum coherence. , 1991, Physical review letters.

[205]  Jonathan P. Dowling,et al.  Coherent-light-boosted, sub-shot noise, quantum interferometry , 2009, 0911.5714.

[206]  Ronald L. Walsworth,et al.  Atom-like crystal defects: From quantum computers to biological sensors , 2014 .

[207]  Gennady Shvets,et al.  Experimental Realization of a Reflections-Free Compact Delay Line Based on a Photonic Topological Insulator , 2016, Scientific Reports.

[208]  Gennady Shvets,et al.  Scattering-free edge states between heterogeneous photonic topological insulators , 2015, 1507.05256.

[209]  Jia Kong,et al.  Quantum metrology with parametric amplifier-based photon correlation interferometers , 2014, Nature Communications.

[210]  Marlan O. Scully,et al.  Superresolution via structured illumination quantum correlation microscopy , 2017, 1702.04319.

[211]  Mark R. Dennis,et al.  A super-oscillatory lens optical microscope for subwavelength imaging. , 2012, Nature materials.

[212]  R. Weissleder,et al.  Single cell magnetic imaging using a quantum diamond microscope , 2015, Nature Methods.

[213]  Y. Sato,et al.  Superfluid helium quantum interference devices: physics and applications , 2012, Reports on progress in physics. Physical Society.

[214]  Helmut Maier,et al.  The Riemann hypothesis illuminated by the Newton flow of ζ , 2015 .

[215]  S. Hawking.  Particle creation by black holes , 1975 .

[216]  Nan Yu,et al.  Gravitational wave detection with single-laser atom interferometers , 2010, 1003.4218.

[217]  S. A. Werner,et al.  Observation of Gravitationally Induced Quantum Interference , 1975 .

[218]  A. Schawlow,et al.  Infrared and optical masers , 1958 .

[219]  C. Broeck,et al.  Advanced Virgo: a second-generation interferometric gravitational wave detector , 2014, 1408.3978.

[220]  A. Landragin,et al.  Enhancing the area of a Raman atom interferometer using a versatile double-diffraction technique. , 2009, Physical review letters.

[221]  Paul Abbott,et al.  Equivalent formulations of the Riemann hypothesis based on lines of constant phase , 2018 .

[222]  Dorje C Brody,et al.  Hamiltonian for the Zeros of the Riemann Zeta Function. , 2016, Physical review letters.

[223]  J. P. Dahl,et al.  Tunneling of an energy eigenstate through a parabolic barrier viewed from Wigner phase space , 2013, 1302.1030.

[224]  A. V. Kretinin,et al.  Detecting topological currents in graphene superlattices , 2014, Science.

[225]  Christophe Couteau,et al.  Quantum super-oscillation of a single photon , 2015, Light: Science & Applications.

[226]  N. Zahzam,et al.  Simultaneous dual-species matter-wave accelerometer , 2013, 1307.2734.

[227]  M. S. Zubairy,et al.  Resonant interferometric lithography beyond the diffraction limit , 2009, CLEO/Europe - EQEC 2009 - European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference.

[228]  Ronald L. Walsworth,et al.  A Genetic Strategy for Probing the Functional Diversity of Magnetosome Formation , 2015, PLoS genetics.

[229]  H. J. Kimble,et al.  The quantum internet , 2008, Nature.

[230]  Mourad Zghal,et al.  Encoding information using Laguerre Gaussian modes over free space turbulence media. , 2016, Optics letters.

[231]  Mark A. Kasevich,et al.  Atom interferometric gravitational wave detection using heterodyne laser links , 2015, 1501.06797.

[232]  Hidekazu Mimura,et al.  Atomic inner-shell laser at 1.5-ångström wavelength pumped by an X-ray free-electron laser , 2015, Nature.

[233]  K. E.,et al.  The Theory of Heat , 1929, Nature.

[234]  Marlan O Scully,et al.  Enhancing acceleration radiation from ground-state atoms via cavity quantum electrodynamics. , 2003, Physical review letters.

[235]  M. Hafezi,et al.  Imaging topological edge states in silicon photonics , 2013, Nature Photonics.

[236]  T. Hänsch,et al.  Atomic interferometer with amplitude gratings of light and its applications to atom based tests of the equivalence principle. , 2004, Physical review letters.

[237]  Andy Gardner,et al.  Life, the universe and everything , 2014 .

[238]  Marlan O. Scully,et al.  The Super of Superradiance , 2009, Science.

[239]  M. S. Zubairy,et al.  Quantum lithography beyond the diffraction limit via Rabi oscillations. , 2010, Physical review letters.

[240]  M. Soljačić,et al.  Reflection-free one-way edge modes in a gyromagnetic photonic crystal. , 2007, Physical review letters.

[241]  Helmut Maier,et al.  Newton flow of the Riemann zeta function: separatrices control the appearance of zeros , 2014 .

[242]  Camille Jouvaud,et al.  Robust reconfigurable electromagnetic pathways within a photonic topological insulator. , 2016, Nature materials.

[243]  Lev A. Rivlin,et al.  Nuclear gamma-ray laser: the evolution of the idea , 2007 .

[244]  Aziz Kolkiran,et al.  Heisenberg limited Sagnac interferometry. , 2007, Optics express.

[245]  C. W. J. Beenakker,et al.  Valley filter and valley valve in graphene , 2007 .

[246]  M. Merzougui,et al.  Exploring gravity with the MIGA large scale atom interferometer , 2017, Scientific Reports.

[247]  Mills,et al.  Possibilities for Bose condensation of positronium. , 1994, Physical review. B, Condensed matter.

[248]  E. O. Schulz-DuBois,et al.  Three-Level Masers as Heat Engines , 1959 .

[249]  Marlan O. Scully,et al.  Black hole acceleration radiation: from a quantum optical perspective , 2017 .

[250]  Manuel Arrayás,et al.  Knots in electromagnetism , 2017 .

[251]  Anthony J Leggett,et al.  Spin diffusion and spin echoes in liquid 3He at low temperature , 1970 .

[252]  E. Arimondo.  Coherent Population Trapping in Laser Spectroscopy , 1996 .

[253]  E. Phinney,et al.  AN OVERVIEW OF GRAVITATIONAL-WAVE SOURCES , 2022 .

[254]  Richard Neutze,et al.  Membrane protein structural biology using X-ray free electron lasers. , 2015, Current opinion in structural biology.

[255]  V. Ginzburg,et al.  Nobel Lecture: On superconductivity and superfluidity (what I have and have not managed to do) as well as on the “physical minimum” at the beginning of the XXI century , 2004 .

[256]  Rajiv C. Shah,et al.  All-optical Compton gamma-ray source , 2012, Nature Photonics.

[257]  Pierre Touboul,et al.  The MICROSCOPE space mission , 2001 .

[258]  Clifford M. Will,et al.  Theory and Experiment in Gravitational Physics , 1982 .

[259]  Aziz Kolkiran,et al.  Quantum interferometry using coherent beam stimulated parametric down-conversion. , 2008, Optics express.

[260]  Youngkuk Kim,et al.  Topological domain walls and quantum valley Hall effects in silicene , 2014 .

[261]  The Ligo Scientific Collaboration,et al.  Observation of Gravitational Waves from a Binary Black Hole Merger , 2016, 1602.03837.

[262]  P. Maurer,et al.  Nanometre-scale thermometry in a living cell , 2013, Nature.

[263]  Ronald L. Walsworth,et al.  Control and local measurement of the spin chemical potential in a magnetic insulator , 2016, Science.

[264]  H. S. Allen.  The Quantum Theory , 1928, Nature.

[265]  M. Lukin,et al.  Gravitational wave detection with optical lattice atomic clocks , 2016, 1606.01859.

[266]  J. Baggott,et al.  The Quantum Story: A History in 40 Moments , 2011 .

[267]  Jensen Li,et al.  Gauge field optics with anisotropic media. , 2014, Physical review letters.

[268]  C. T. Chan,et al.  Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide. , 2014, Nature communications.

[269]  R. Ferber,et al.  Longitudinal spin-relaxation in nitrogen-vacancy centers in electron irradiated diamond , 2015, 1511.06189.

[270]  Aleksandr P. Kazantsev,et al.  The Quantum Theory of the Laser , 1969 .

[271]  Masaki Oshikawa,et al.  Absence of Quantum Time Crystals. , 2014, Physical review letters.

[272]  Jose A Garrido,et al.  Ultrafast electronic readout of diamond nitrogen-vacancy centres coupled to graphene. , 2015, Nature nanotechnology.

[273]  L. Hollenberg,et al.  Electric-field sensing using single diamond spins , 2011 .

[274]  A. Landragin,et al.  Differential atom interferometry with $^{87}$Rb and $^{85}$Rb for testing the UFF in STE-QUEST , 2013, 1312.5963.

[275]  Halina Rubinsztein-Dunlop,et al.  A method for achieving super-resolved widefield CARS microscopy. , 2010, Optics express.

[276]  Marlan O Scully,et al.  Optimizing the Laser-Pulse Configuration for Coherent Raman Spectroscopy , 2007, Science.

[277]  Claudio Pellegrini,et al.  The history of X-ray free-electron lasers , 2012 .

[278]  Haldane,et al.  Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the "parity anomaly" , 1988, Physical review letters.

[279]  J. Cirac,et al.  Distributed quantum computation over noisy channels , 1998, quant-ph/9803017.

[280]  A. Peters,et al.  Bose-Einstein Condensation in Microgravity , 2010, Science.

[281]  John M. J. Madey,et al.  Stimulated Emission of Bremsstrahlung in a Periodic Magnetic Field , 1971 .

[282]  Liangliang Li,et al.  Chaotic Vibration of a Two-dimensional Non-strictly Hyperbolic Equation , 2018, Canadian Mathematical Bulletin.

[283]  Wang Yao,et al.  Valley-contrasting physics in graphene: magnetic moment and topological transport. , 2007, Physical review letters.

[284]  Jie Li,et al.  Polarization gating of high harmonic generation in the water window , 2016, 2016 Conference on Lasers and Electro-Optics (CLEO).

[285]  M. D. Lukin,et al.  Nuclear magnetic resonance detection and spectroscopy of single proteins using quantum logic , 2016, Science.

[286]  Kishore T. Kapale,et al.  Subwavelength atom localization via coherent population trapping , 2006 .

[287]  Stefan W. Hell,et al.  Nanoscopy with focused light , 2013, 2015 Conference on Lasers and Electro-Optics (CLEO).

[288]  P Olivero,et al.  Beating the Abbe diffraction limit in confocal microscopy via nonclassical photon statistics. , 2014, Physical review letters.

[289]  Nikolay I. Zheludev,et al.  Super-Oscillatory Imaging of Nanoparticle Interactions with Neurons , 2015 .

[290]  Ronald L. Walsworth,et al.  Optical magnetic detection of single-neuron action potentials using quantum defects in diamond , 2016, Proceedings of the National Academy of Sciences.

[291]  Jabez J. McClelland,et al.  Laser-cooled atoms as a focused ion-beam source , 2006 .

[292]  V. A. Antonov,et al.  Formation of ultrashort pulses from quasimonochromatic XUV radiation via infrared-field-controlled forward scattering , 2016 .

[293]  D. Thouless,et al.  Quantized Hall conductance in a two-dimensional periodic potential , 1992 .

[294]  A. Meisels,et al.  Einstein A and B coefficients for a black hole , 1977 .

[295]  A. Coley,et al.  Open problems in mathematical physics , 2017, 1710.02105.

[296]  Alexander Szameit,et al.  Photonic Topological Insulators , 2014, CLEO 2014.

[297]  Georg Weidenspointner,et al.  Femtosecond X-ray protein nanocrystallography , 2011, Nature.

[298]  Gennady Shvets,et al.  All-Si valley-Hall photonic topological insulator , 2016, 2016 Conference on Lasers and Electro-Optics (CLEO).

[299]  Din Ping Tsai,et al.  Toroidal circular dichroism , 2016 .

[300]  Rufus L. Cone,et al.  Rare-earth-doped materials for applications in quantum information storage and signal processing , 2011 .

[301]  Michael Schirber.  Focus: Dark Physics Beats Light Limit , 2008 .

[302]  A. Zeilinger.  Light for the quantum. Entangled photons and their applications: a very personal perspective , 2017 .

[303]  M. D. Lukin,et al.  Laser cooling and real-time measurement of the nuclear spin environment of a solid-state qubit , 2011, Nature.

[304]  P. Stifter,et al.  Das Teilchen im Kasten: Strukturen in der Wahrscheinlichkeitsdichte / The Particle in a Box : Structures in the Probability , 1997 .

[305]  M. Kasevich,et al.  Enhanced atom interferometer readout through the application of phase shear. , 2013, Physical review letters.

[306]  R. Ragan,et al.  Castaing instabilities in longitudinal spin-diffusion experiments , 1997 .

[307]  Ray Carlberg,et al.  The Universe and everything , 1999, Nature.

[308]  Stig Stenholm,et al.  The Stefan–Boltzmann law: two classical laws give a quantum one , 2015 .

[309]  W. Schleich,et al.  Quantum test of the Universality of Free Fall using rubidium and potassium , 2014, The European Physical Journal D.

[310]  T. Ishikawa,et al.  X-ray second harmonic generation. , 2014, Physical review letters.

[311]  Jessika Schulze,et al.  Life On The Edge The Coming Of Age Of Quantum Biology , 2016 .

[312]  A. Peters,et al.  Measurement of gravitational acceleration by dropping atoms , 1999, Nature.

[313]  Ziolkowski,et al.  Localized transmission of electromagnetic energy. , 1989, Physical review. A, General physics.

[314]  N. Gisin,et al.  Violation of Bell Inequalities by Photons More Than 10 km Apart , 1998, quant-ph/9806043.

[315]  Jorge J. Rocca,et al.  High-average-power, 100-Hz-repetition-rate, tabletop soft-x-ray lasers at sub-15-nm wavelengths , 2014 .

[316]  Roland E. Allen,et al.  Life, the Universe, and everything—42 fundamental questions , 2018, 1804.08730.

[317]  Jieping Ye,et al.  A quantum network of clocks , 2013, Nature Physics.