Pulse, polarization and topology shaping of polariton fluids

Here we present different approaches to ultrafast pulse and polarization shaping, based on a “quantum fluid” platform of polaritons. Indeed we exploit the normal modes of two dimensional polariton fluids made of strong coupled quantum well excitons and microcavity photons, by rooting different polarization and topological states into their sub-picosecond Rabi oscillations. Coherent control of two resonant excitation pulses allows us to prepare the desired state of the polariton, taking benefit from its four-component features given by the combination of the two normal modes with the two degrees of polarization. An ultrafast imaging based on the digital off-axis holography technique is implemented to study the polariton complex wavefunction with time and space resolution. We show in order coherent control of the polariton state on the Bloch sphere, an ultrafast polarization sweeping of the Poincaré sphere, and the dynamical twist of full Poincaré states such as the skyrmion on the sphere itself. Finally, we realize a new kind of ultrafast swirling vortices by adding the angular momentum degree of freedom to the two-pulse scheme. These oscillating topology states are characterized by one or more inner phase singularities tubes which spirals around the axis of propagation. The mechanism is devised in the splitting of the vortex into the upper and lower polaritons, resulting in an oscillatory exchange of energy and angular momentum and in the emitted time and space structured photonic packets.

[1]  M. Padgett,et al.  Orbital angular momentum: origins, behavior and applications , 2011 .

[2]  Stephan W Koch,et al.  Vacuum Rabi splitting in semiconductors , 2006 .

[3]  V. Savona,et al.  Bose–Einstein condensation of exciton polaritons , 2006, Nature.

[4]  Andrew Forbes,et al.  Controlled generation of higher-order Poincaré sphere beams from a laser , 2015, Nature Photonics.

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

[6]  Beijersbergen,et al.  Classical realization of a strongly driven two-level system. , 1990, Physical review letters.

[7]  I. Shelykh,et al.  Information processing with topologically protected vortex memories in exciton-polariton condensates , 2014, 1403.5047.

[8]  Ebrahim Karimi,et al.  Integrated multi vector vortex beam generator. , 2013, Optics express.

[9]  M. Romanelli,et al.  Observation of the optical spin Hall effect , 2007 .

[10]  R. Spreeuw A Classical Analogy of Entanglement , 1998 .

[11]  A. Ridolfo,et al.  All optical switch of vacuum Rabi oscillations: the ultrafast quantum eraser. , 2010, Physical review letters.

[12]  M. Amthor,et al.  An electrically pumped polariton laser , 2013, Nature.

[13]  A. Willner,et al.  High-capacity millimetre-wave communications with orbital angular momentum multiplexing , 2014, Nature Communications.

[14]  F. Laussy,et al.  Real-space collapse of a polariton condensate , 2013, Nature Communications.

[15]  D. Ballarini,et al.  All-optical polariton transistor , 2012, 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC.

[16]  Weisbuch,et al.  Theory of time-resolved light emission from polaritons in a semiconductor microcavity under resonant excitation. , 1996, Physical review. B, Condensed matter.

[17]  Amber M. Beckley,et al.  Full Poincaré beams. , 2010, Optics express.

[18]  A. Lemaître,et al.  Polariton-generated intensity squeezing in semiconductor micropillars , 2014, Nature Communications.

[19]  Ebrahim Karimi,et al.  Time-division multiplexing of the orbital angular momentum of light. , 2012, Optics letters.

[20]  C. Paterson,et al.  Atmospheric turbulence and orbital angular momentum of single photons for optical communication. , 2005, Physical review letters.

[21]  Y. Rubo Half vortices in exciton polariton condensates. , 2007, Physical review letters.

[22]  Valerii M. Vinokur,et al.  Vortices in high-temperature superconductors , 1994 .

[23]  Cristiano Ciuti,et al.  Quantum Fluids of Light , 2014, CLEO 2014.

[24]  Robert W. Boyd,et al.  Quantum Correlations in Optical Angle–Orbital Angular Momentum Variables , 2010, Science.

[25]  D. Lathrop,et al.  Characterization of reconnecting vortices in superfluid helium , 2008, Proceedings of the National Academy of Sciences.

[26]  I. Carusotto,et al.  Hydrodynamic nucleation of vortices and solitons in a resonantly excited polariton superfluid , 2010, 1006.4755.

[27]  A. Willner,et al.  Terabit-Scale Orbital Angular Momentum Mode Division Multiplexing in Fibers , 2013, Science.

[28]  S. Gulde,et al.  Quantum nature of a strongly coupled single quantum dot–cavity system , 2007, Nature.

[29]  Y. Lozovik,et al.  Excitons in cores of exciton-polariton vortices , 2012 .

[30]  Y. Rubo,et al.  Warping and interactions of vortices in exciton-polariton condensates , 2014 .

[31]  Schumacher,et al.  Quantum coding. , 1995, Physical review. A, Atomic, molecular, and optical physics.

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

[33]  Y. Rubo,et al.  Twist of generalized skyrmions and spin vortices in a polariton superfluid , 2016, Proceedings of the National Academy of Sciences.

[34]  P C Haljan,et al.  Vortex precession in Bose-Einstein condensates: observations with filled and empty cores. , 2000, Physical review letters.

[35]  Hiroshi Yamaguchi,et al.  Coherent phonon manipulation in coupled mechanical resonators , 2012, Nature Physics.

[36]  J. Baumberg,et al.  Spontaneous polarization buildup in a room-temperature polariton laser. , 2008, Physical review letters.

[37]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[38]  C. Weisbuch,et al.  Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity. , 1992, Physical review letters.

[39]  M. S. Skolnick,et al.  Collective fluid dynamics of a polariton condensate in a semiconductor microcavity , 2009, Nature.

[40]  J. Patel,et al.  Polarization controller using nematic liquid crystals. , 1999, Optics letters.

[41]  P. Lagoudakis,et al.  Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers. , 2012, Physical review letters.

[42]  Role of supercurrents on vortices formation in polariton condensates , 2012, 1205.2313.

[43]  Thomas Baumert,et al.  Zeptosecond precision pulse shaping. , 2011, Optics express.

[44]  F. Capasso,et al.  Parallel Polarization State Generation , 2016, Scientific Reports.

[45]  J. Baumberg,et al.  Coupled counterrotating polariton condensates in optically defined annular potentials , 2014, Proceedings of the National Academy of Sciences.

[46]  Sandro Stringari,et al.  Bose-Einstein condensation and superfluidity , 2016 .

[47]  R. Boyd,et al.  Polarization Shaping for Control of Nonlinear Propagation. , 2016, Physical review letters.

[48]  B. Deveaud,et al.  Dissociation dynamics of singly charged vortices into half-quantum vortex pairs , 2012, Nature Communications.

[49]  Jabez J. McClelland,et al.  Electron Vortex Beams with High Quanta of Orbital Angular Momentum , 2011, Science.

[50]  C. E. Wieman,et al.  Vortices in a Bose Einstein condensate , 1999, QELS 2000.

[51]  Vortex Chain in a Resonantly Pumped Polariton Superfluid , 2014, Scientific reports.

[52]  F. Laussy,et al.  Ultrafast Control and Rabi Oscillations of Polaritons. , 2014, Physical review letters.

[53]  R. Boyd,et al.  Optical spin-to-orbital angular momentum conversion in ultra-thin metasurfaces with arbitrary topological charges , 2014, 1407.5491.

[54]  L. Marrucci,et al.  Polarization pattern of vector vortex beams generated by q-plates with different topological charges. , 2012, Applied optics.

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

[56]  Brian P. Anderson,et al.  Spontaneous vortices in the formation of Bose–Einstein condensates , 2008, Nature.

[57]  W. Ketterle,et al.  Observation of Vortex Lattices in Bose-Einstein Condensates , 2001, Science.

[58]  J. P. Woerdman,et al.  V Optical Atoms , 1993 .

[59]  Timothy Chi Hin Liew,et al.  Polarization shaping of Poincaré beams by polariton oscillations , 2015, Light: Science & Applications.

[60]  Akira Tonomura,et al.  Generation of electron beams carrying orbital angular momentum , 2010, Nature.

[61]  Christian Schneider,et al.  Half-skyrmion spin textures in polariton microcavities , 2016, 1602.04711.

[62]  Thomas S. Huang,et al.  Digital Holography , 2003 .

[63]  Sven Höfling,et al.  Power-law decay of the spatial correlation function in exciton-polariton condensates , 2012, Proceedings of the National Academy of Sciences.

[64]  G Gerber,et al.  Femtosecond polarization pulse shaping. , 2001, Optics letters.

[65]  Thomas Faust,et al.  Coherent control of a classical nanomechanical two-level system , 2012, Nature Physics.

[66]  M. S. Skolnick,et al.  Spin Textures of Exciton-Polaritons in a Tunable Microcavity with Large TE-TM Splitting. , 2015, Physical review letters.

[67]  G Gerber,et al.  Quantum control by ultrafast polarization shaping. , 2004, Physical review letters.

[68]  K. West,et al.  A new type of half-quantum circulation in a macroscopic polariton spinor ring condensate , 2014, Proceedings of the National Academy of Sciences.

[69]  V. G. Sala,et al.  Polariton Superfluids Reveal Quantum Hydrodynamic Solitons , 2011, Science.

[70]  Michael Bauer,et al.  Adaptive subwavelength control of nano-optical fields , 2007, Nature.

[71]  C. Manzoni,et al.  Real-time observation of ultrafast Rabi oscillations between excitons and plasmons in metal nanostructures with J-aggregates , 2013, Nature Photonics.

[72]  M. Wouters,et al.  Quantized vortices in an exciton–polariton condensate , 2008 .

[73]  I. Shelykh,et al.  Topological stability of the half-vortices in spinor exciton-polariton condensates , 2010 .

[74]  M. Padgett,et al.  Advances in optical angular momentum , 2008 .

[75]  A. Kavokin,et al.  Optical spin hall effect. , 2005, Physical review letters.

[76]  Norris,et al.  Time-resolved vacuum Rabi oscillations in a semiconductor quantum microcavity. , 1993, Physical review. B, Condensed matter.

[77]  Morin,et al.  Vacuum Rabi splitting as a feature of linear-dispersion theory: Analysis and experimental observations. , 1990, Physical review letters.

[78]  K. West,et al.  Bose-Einstein Condensation of Microcavity Polaritons in a Trap , 2007, Science.

[79]  M. Steger,et al.  Long-range ballistic motion and coherent flow of long-lifetime polaritons , 2013, 1310.1798.

[80]  A. Kavokin,et al.  Observation of Half-Quantum Vortices in an Exciton-Polariton Condensate , 2009, Science.

[81]  L. Plaja,et al.  Photoionization with orbital angular momentum beams. , 2010, Optics express.

[82]  Benoit Deveaud-Plédran,et al.  Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid , 2011 .

[83]  C. E. Wieman,et al.  Watching a Superfluid Untwist Itself: Recurrence of Rabi Oscillations in a Bose-Einstein Condensate , 1999 .

[84]  F. J. Rodríguez-Fortuño,et al.  Universal method for the synthesis of arbitrary polarization states radiated by a nanoantenna , 2014, 1510.01530.

[85]  Romuald Houdré,et al.  Exciton–polariton spin switches , 2010 .

[86]  C. Delalande,et al.  Coherent dynamics of microcavity polaritons in the nonlinear regime , 2002 .

[87]  I. Shelykh,et al.  Optical circuits based on polariton neurons in semiconductor microcavities. , 2008, Physical review letters.

[88]  Mircea Dragoman,et al.  Quantum-Classical Analogies , 2004 .

[89]  Ebrahim Karimi,et al.  Optimal quantum cloning of orbital angular momentum photon qubits through Hong–Ou–Mandel coalescence , 2009, 1010.5214.

[90]  L. Marrucci,et al.  Vortex and half-vortex dynamics in a nonlinear spinor quantum fluid , 2015, Science Advances.

[91]  I. Carusotto,et al.  Superfluidity of polaritons in semiconductor microcavities , 2009 .

[92]  K. West,et al.  Huge splitting of polariton states in microcavities under stress , 2010 .

[93]  J. Bloch,et al.  Coherent control of exciton polaritons in a semiconductor microcavity , 1999 .

[94]  M. S. Skolnick,et al.  Persistent currents and quantized vortices in a polariton superfluid , 2009, 0907.2371.

[95]  M. S. Skolnick,et al.  Effect of interactions on vortices in a nonequilibrium polariton condensate. , 2010, Physical review letters.