Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid

Quantized vortices appear in quantum gases at the breakdown of superfluidity. In liquid helium and cold atomic gases, they have been indentified as the quantum counterpart of turbulence in classical fluids. In the solid state, composite light‐matter bosons known as exciton polaritons have enabled studies of non-equilibrium quantum gases and superfluidity. However, there has been no experimental evidence of hydrodynamic nucleation of polariton vortices so far. Here we report the experimental study of a polariton fluid flowing past an obstacle and the observation of nucleation of quantized vortex pairs in the wake of the obstacle. We image the nucleation mechanism and track the motion of the vortices along the flow. The nucleation conditions are established in terms of local fluid density and velocity measured on the obstacle perimeter. The experimental results are successfully reproduced by numerical simulations based on the resolution of the Gross‐Pitaevskii equation. H ydrodynamic instabilities in classical fluids were studied in the pioneering experiments of BOnard in the 1910’s. Convective BOnardRayleigh flows and BOnardVon KAErmAEn streets are now well known examples in nonlinear and chaos sciences 1 . In conventional fluids, the flow around an obstacle is characterized by the dimensionless Reynolds number ReD vR= , withv and the fluid velocity and dynamical viscosity, respectively, and R the diameter of the obstacle. When increasing the Reynolds number, laminar flow, stationary vortices, BOnardVon KAErmAEn streets of moving vortices and fully turbulent regimes are successively observed in the wake of the obstacle 1 .

[1]  J Dalibard,et al.  Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation. , 2001, Physical review letters.

[2]  G. Nardin,et al.  Coherent optical control of the wave function of zero dimensional exciton polaritons , 2009 .

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

[4]  T. Kreis Holographic Interferometry: Principles and Methods , 1996 .

[5]  Eric Feltin,et al.  Room temperature polariton lasing in a GaN∕AlGaN multiple quantum well microcavity , 2008 .

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

[7]  M. S. Skolnick,et al.  Intrinsic decoherence mechanisms in the microcavity polariton condensate. , 2008, Physical review letters.

[8]  W. Zurek,et al.  Dissipative optical flow in a nonlinear Fabry-Pérot cavity. , 2001, Physical review letters.

[9]  Ashton S. Bradley,et al.  Observation of vortex dipoles in an oblate Bose-Einstein condensate. , 2009, Physical review letters.

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

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

[12]  E. J. Yarmchuk,et al.  Observation of Stationary Vortex Arrays in Rotating Superfluid Helium , 1979 .

[13]  I. Carusotto,et al.  Fermionized photons in an array of driven dissipative nonlinear cavities. , 2008, Physical review letters.

[14]  Frisch,et al.  Transition to dissipation in a model of superflow. , 1992, Physical review letters.

[15]  Kazuki Sasaki,et al.  Bénard-von Kármán vortex street in a Bose-Einstein condensate. , 2010, Physical review letters.

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

[17]  Qiang Du,et al.  Dissipative flow and vortex shedding in the Painlevé boundary layer of a Bose-Einstein condensate. , 2003, Physical review letters.

[18]  Isabelle Sagnes,et al.  Spontaneous formation and optical manipulation of extended polariton condensates , 2010, 1004.4084.

[19]  Vortex shedding and drag in dilute Bose-Einstein condensates , 2000, cond-mat/0004430.

[20]  G. Nardin,et al.  Phase-resolved imaging of confined exciton-polariton wave functions in elliptical traps , 2010 .

[21]  W. Ketterle,et al.  Vortex nucleation in a stirred Bose-Einstein condensate. , 2001, Physical review letters.

[22]  J. Bloch,et al.  High-temperature ultrafast polariton parametric amplification in semiconductor microcavities , 2001, Nature.

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

[24]  Engineering the spatial confinement of exciton-polaritons in semiconductors , 2006, cond-mat/0602640.

[25]  C. Adams,et al.  Pressure Drag in Linear and Nonlinear Quantum Fluids , 1998, cond-mat/9812080.

[26]  G. Nardin,et al.  Selective photoexcitation of confined exciton-polariton vortices , 2010, 1001.0846.

[27]  V. Bagnato,et al.  Emergence of turbulence in an oscillating bose-einstein condensate. , 2009, Physical review letters.

[28]  Dalibard,et al.  Vortex formation in a stirred bose-einstein condensate , 1999, Physical review letters.

[29]  I. Carusotto,et al.  Probing microcavity polariton superfluidity through resonant Rayleigh scattering. , 2004, Physical Review Letters.

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

[31]  C. Ciuti,et al.  Light engineering of the polariton landscape in semiconductor microcavities , 2010, 1003.0131.

[32]  Single vortex-antivortex pair in an exciton-polariton condensate , 2009, 1005.1897.

[33]  Onofrio,et al.  Observation of superfluid flow in a bose-einstein condensed Gas , 2000, Physical review letters.

[34]  Jacek Kasprzak,et al.  Condensation of exciton polaritons , 2006 .

[35]  C. Raman,et al.  Evidence for a Critical Velocity in a Bose-Einstein Condensed Gas , 1999 .

[36]  Coherent oscillations in an exciton-polariton Josephson junction. , 2010, Physical review letters.

[37]  Carlo F. Barenghi,et al.  Quantized vortex dynamics and superfluid turbulence , 2001 .

[38]  L. Smirnov,et al.  Structure of vortex shedding past potential barriers moving in a Bose-Einstein condensate , 2010 .

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