Sisyphus Thermalization of Photons in a Cavity-Coupled Double Quantum Dot.

We investigate the nonclassical states of light that emerge in a microwave resonator coupled to a periodically driven electron in a nanowire double quantum dot (DQD). Under certain drive configurations, we find that the resonator approaches a thermal state at the temperature of the surrounding substrate with a chemical potential given by a harmonic of the drive frequency. Away from these thermal regions we find regions of gain and loss, where the system can lase, or regions where the DQD acts as a single-photon source. These effects are observable in current devices and have broad utility for quantum optics with microwave photons.

[1]  P. Jarillo-Herrero,et al.  Observation of Floquet-Bloch States on the Surface of a Topological Insulator , 2013, Science.

[2]  H. Lu,et al.  Landau-Zener-Stückelberg interferometry of a single electron charge qubit , 2012 .

[3]  J. Petta,et al.  Phonon-assisted gain in a semiconductor double quantum dot maser. , 2015, Physical review letters.

[4]  Graham,et al.  Dynamical localization of atomic-beam deflection by a modulated standing light wave. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[5]  K. Berggren,et al.  Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit , 2005, Science.

[6]  A. Chandran,et al.  Periodically driven ergodic and many-body localized quantum systems , 2014, 1403.6480.

[7]  V. Maisi,et al.  Microwave Emission from Hybridized States in a Semiconductor Charge Qubit. , 2015, Physical review letters.

[8]  Tim Byrnes,et al.  Exciton–polariton condensates , 2014, Nature Physics.

[9]  P. Hakonen,et al.  Continuous-time monitoring of Landau-Zener interference in a cooper-pair box. , 2006, Physical review letters.

[10]  S. Miyashita,et al.  Condition for emergence of the Floquet-Gibbs state in periodically driven open systems. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Frank Vewinger,et al.  Bose–Einstein condensation of photons in an optical microcavity , 2010, Nature.

[12]  G. Casati,et al.  Stochastic behavior in classical and quantum hamiltonian systems : Volta Memorial Conference, Como, 1977 , 1979 .

[13]  A. Gossard,et al.  Manipulation of a single charge in a double quantum dot. , 2004, Physical review letters.

[14]  Tobias Brandes,et al.  Coherent and Collective Quantum Optical Effects in Mesoscopic Systems , 2004, cond-mat/0409771.

[15]  M. Hafezi,et al.  Chemical potential for light by parametric coupling , 2015 .

[16]  P. Szriftgiser,et al.  Observation of the Anderson metal-insulator transition with atomic matter waves: Theory and experiment , 2009, 0907.3411.

[17]  L. Mandel,et al.  Theory of resonance fluorescence , 1976 .

[18]  A. Gossard,et al.  A Coherent Beam Splitter for Electronic Spin States , 2010, Science.

[19]  Liang Fu,et al.  Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels , 2011, 1104.4636.

[20]  Andrew D. Greentree,et al.  Quantum phase transitions of light , 2006, cond-mat/0609050.

[21]  Julien Chabé,et al.  Experimental observation of the Anderson metal-insulator transition with atomic matter waves. , 2007, Physical review letters.

[22]  H.-G. Meyer,et al.  Sisyphus cooling and amplification by a superconducting qubit , 2007, 0708.0665.

[23]  Williams,et al.  Observation of dynamical localization in atomic momentum transfer: A new testing ground for quantum chaos. , 1994, Physical review letters.

[24]  Michael A. Lieberman,et al.  Stochastic and Adiabatic Behavior of Particles Accelerated by Periodic Forces , 1972 .

[25]  M. D. Lukin,et al.  Mesoscopic cavity quantum electrodynamics with quantum dots , 2004 .

[26]  D. Grempel,et al.  Quantum dynamics of a nonintegrable system , 1984 .

[27]  Luca D'Alessio,et al.  Many-body energy localization transition in periodically driven systems , 2012, 1210.2791.

[28]  F. Nori,et al.  Landau-Zener-Stückelberg interferometry , 2009, 0911.1917.

[29]  Alexandre Blais,et al.  Antibunching of microwave-frequency photons observed in correlation measurements using linear detectors , 2011 .

[30]  P. L. Kapitsa,et al.  Dynamical Stability of a Pendulum when its Point of Suspension Vibrates , 1965 .

[31]  M. Holthaus,et al.  Energy flow in periodic thermodynamics. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  D. Basko,et al.  Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states , 2005, cond-mat/0506617.

[33]  L. Samuelson,et al.  Probing confined phonon modes by transport through a nanowire double quantum dot. , 2009, Physical review letters.

[34]  L Frunzio,et al.  Generating single microwave photons in a circuit. , 2007, Nature.

[35]  D. Awschalom,et al.  A quantum memory intrinsic to single nitrogen-vacancy centres in diamond , 2011 .

[36]  M. Beck,et al.  Dipole coupling of a double quantum dot to a microwave resonator. , 2011, Physical review letters.

[37]  S. Tarucha,et al.  Microwave spectroscopy of a quantum-dot molecule , 1998, Nature.

[38]  Jacob M. Taylor,et al.  Circuit quantum electrodynamics with a spin qubit , 2012, Nature.

[39]  J. R. Petta,et al.  Semiconductor double quantum dot micromaser , 2015, Science.

[40]  R. Moessner,et al.  Fate of Many-Body Localization Under Periodic Driving. , 2014, Physical review letters.

[41]  P. Hänggi,et al.  Driven quantum tunneling , 1998 .

[42]  Gil Refael,et al.  Floquet topological insulator in semiconductor quantum wells , 2010, 1008.1792.

[43]  Z. R. Wasilewski,et al.  Coherent control of three-spin states in a triple quantum dot , 2011, Nature Physics.

[44]  J. Petta,et al.  Photon emission from a cavity-coupled double quantum dot. , 2013, Physical review letters.

[45]  L. Mandel,et al.  Photon Antibunching in Resonance Fluorescence , 1977 .

[46]  W. Kohn.  Periodic Thermodynamics , 2001 .

[47]  Michael J. Hartmann,et al.  Strongly interacting polaritons in coupled arrays of cavities , 2006, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

[48]  D. Huse,et al.  Many-body localization phase transition , 2010, 1010.1992.

[49]  H. Sambe.  Steady States and Quasienergies of a Quantum-Mechanical System in an Oscillating Field , 1973 .

[50]  Sahel Ashhab,et al.  Observation of Floquet States in a Strongly Driven Artificial Atom. , 2015, Physical review letters.

[51]  L. Childress,et al.  Multifrequency spin resonance in diamond , 2010, 1008.1103.