Abstract
Bosonic condensates subject to interactions may give rise to the phenomenon of superfluidity. This is the case of polaritons in semiconductor microcavities, in which superfluidity is manifested in a number of effects like the frictionless flow, persistence of currents, or the quantisation of the angular momentum of the fluid. The dissipative nature of polaritons, determined by their finite lifetime, results in specific properties diverting notably from equilibrium systems like Bose–Einstein condensates of alkali atoms. In the first part of this chapter we describe the superfluidity of polaritons attending to the propagation characteristics of these gases in the presence of a potential barrier. We concentrate our analysis on the body of available experimental results, which can be well understood in terms of the shape of the spectra of excitations. We devote the second part of the chapter to the conditions for the break up of superfluidity via the nucleation of hydrodynamic topological excitations, i.e. quantised vortex pairs and solitons. We discuss how the out-of-equilibrium nature of polariton condensates favours the nucleation of these excitations, opening the way to novel turbulent regimes.
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References
A.J. Leggett, Superfluidity. Rev. Mod. Phys. 71, S318 (1999)
W.F. Vinen, The detection of single quanta of circulation in liquid helium II. Proc. R. Soc. Lond. A 260, 218 (1961)
G.B. Hess, W.M. Fairbank, Measurements of angular momentum in superfluid helium. Phys. Rev. Lett. 19, 216 (1967)
R.E. Packard, T.M. Sanders, Observations on single vortex lines in rotating superfluid helium. Phys. Rev. A 6, 799 (1972)
F. Chevy, K.W. Madison, J. Dalibard, Measurement of the angular momentum of a rotating Bose–Einstein condensate. Phys. Rev. Lett. 85, 2223 (2000)
K.W. Madison, F. Chevy, W. Wohlleben et al., Vortex formation in a stirred Bose–Einstein condensate. Phys. Rev. Lett. 84, 806 (2000)
J.R. Abo-Shaeer, C. Raman, J.M. Vogels et al., Observation of vortex lattices in Bose–Einstein condensates. Science 292, 476 (2001)
D.R. Allum, P.V.E. McClintock, A. Phillips et al., The breakdown of superfluidity in liquid 4He: an experimental test of Landau’s theory. Phil. Trans. R. Soc. Lond. A 284, 179 (1977)
M. Hartmann, F. Mielke, J.P. Toennies et al., Direct spectroscopic observation of elementary excitations in superfluid He droplets. Phys. Rev. Lett. 76, 4560 (1996)
C. Raman, M. Köhl, R. Onofrio et al., Evidence for a critical velocity in a Bose–Einstein condensed gas. Phys. Rev. Lett. 83, 2502 (1999)
R. Onofrio, C. Raman, J.M. Vogels et al., Observation of superfluid flow in a Bose–Einstein condensed gas. Phys. Rev. Lett. 85, 2228 (2000)
I. Carusotto, S.X. Hu, L.A. Collins et al., Bogoliubov–Cerenkov radiation in a Bose–Einstein condensate flowing against an obstacle. Phys. Rev. Lett. 97, 260403 (2006)
S.C. Whitmore, W. Zimmermann, Observation of quantized circulation in superfluid helium. Phys. Rev. 166, 181 (1968)
C. Ryu, M.F. Andersen, P. Clade et al., Observation of persistent flow of a Bose–Einstein condensate in a toroidal trap. Phys. Rev. Lett. 99, 260401 (2007)
T. Frisch, Y. Pomeau, S. Rica, Transition to dissipation in a model of superflow. Phys. Rev. Lett. 69, 1644 (1992)
G.A. El, A. Gammal, A.M. Kamchatnov, Oblique dark solitons in supersonic flow of a Bose–Einstein condensate. Phys. Rev. Lett. 97, 180405 (2006)
T. Winiecki, B. Jackson, J.F. McCann et al., Vortex shedding and drag in dilute Bose–Einstein condensates. J. Phys. B: At. Mol. Opt. Phys. 33, 4069 (2000)
S. Inouye, S. Gupta, T. Rosenband et al., Observation of vortex phase singularities in Bose–Einstein condensates. Phys. Rev. Lett. 87, 080402 (2001)
T.W. Neely, E.C. Samson, A.S. Bradley et al., Observation of vortex dipoles in an oblate Bose–Einstein condensate. Phys. Rev. Lett. 104, 160401 (2010)
J. Kasprzak, M. Richard, S. Kundermann et al., Bose–Einstein condensation of exciton polaritons. Nature 443, 409 (2006)
K.G. Lagoudakis, M. Wouters, M. Richard et al., Quantized vortices in an exciton–polariton condensate. Nat. Phys. 4, 706 (2008)
K.G. Lagoudakis, T. Ostatnicky, A.V. Kavokin et al., Observation of half-quantum vortices in an exciton–polariton condensate. Science 326, 974 (2009)
C.W. Lai, N.Y. Kim, S. Utsunomiya et al., Coherent zero-state and π-state in an exciton–polariton condensate array. Nature 450, 529 (2007)
E. Wertz, L. Ferrier, D.D. Solnyshkov et al., Spontaneous formation and optical manipulation of extended polariton condensates. Nat. Phys. 6, 860 (2010)
M. Wouters, I. Carusotto, Goldstone mode of optical parametric oscillators in planar semiconductor microcavities in the strong-coupling regime. Phys. Rev. A 76, 043807 (2007)
D. Ballarini, D. Sanvitto, A. Amo et al., Observation of long-lived polariton states in semiconductor microcavities across the parametric threshold. Phys. Rev. Lett. 102, 056402 (2009)
D. Sanvitto, F.M. Marchetti, M.H. Szymanska et al., Persistent currents and quantized vortices in a polariton superfluid. Nat. Phys. 6, 527 (2010)
F.M. Marchetti, M.H. Szymanacuteska, C. Tejedor et al., Spontaneous and triggered vortices in polariton optical-parametric-oscillator superfluids. Phys. Rev. Lett. 105, 063902 (2010)
M. Wouters, I. Carusotto, Superfluidity and critical velocities in nonequilibrium Bose–Einstein condensates. Phys. Rev. Lett. 105, 020602 (2010)
I. Carusotto, C. Ciuti, Probing microcavity polariton superfluidity through resonant rayleigh scattering. Phys. Rev. Lett. 93, 166401 (2004)
A. Amo, D. Sanvitto, F.P. Laussy et al., Collective fluid dynamics of a polariton condensate in a semiconductor microcavity. Nature 457, 291 (2009)
A. Amo, J. Lefrère, S. Pigeon et al., Superfluidity of polaritons in semiconductor microcavities. Nat. Phys. 5, 805 (2009)
G. Nardin, G. Grosso, Y. Leger et al., Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid. Nat. Phys. 7, 635 (2011)
D. Sanvitto, S. Pigeon, A. Amo et al., All-optical control of the quantum flow of a polariton superfluid. Nat. Phot. 5, 610 (2011)
S. Pigeon, I. Carusotto, C. Ciuti, Hydrodynamic nucleation of vortices and solitons in a resonantly excited polariton superfluid. Phys. Rev. B: Condens. Matter Mater. Phys. 83, 144513 (2011)
A. Amo, S. Pigeon, D. Sanvitto et al., Polariton superfluids reveal quantum hydrodynamic solitons. Science 332, 1167 (2011)
C. Ciuti, I. Carusotto, Quantum fluid effects and parametric instabilities in microcavities. Phys. Status Solid B 242, 2224 (2005)
M.H. Szymanska, J. Keeling, P.B. Littlewood, Nonequilibrium quantum condensation in an incoherently pumped dissipative system. Phys. Rev. Lett. 96, 230602 (2006)
J. Keeling, F.M. Marchetti, M.H. Szymanska et al., Collective coherence in planar semiconductor microcavities. Semicond. Sci. Technol. 22, R1 (2007)
M. Wouters, I. Carusotto, Excitations in a nonequilibrium Bose–Einstein condensate of exciton polaritons. Phys. Rev. Lett. 99, 140402 (2007)
J. Keeling, N.G. Berloff, Spontaneous rotating vortex lattices in a pumped decaying condensate. Phys. Rev. Lett. 100, 250401 (2008)
N.G. Berloff, Turbulence in exciton–polariton condensates (2010), arXiv:1010.5225
J. Cuevas, A.S. Rodrigues, R. Carretero-Gonzalez et al., Nonlinear excitations, stability inversions and dissipative dynamics in quasi-one-dimensional polariton condensates Phys. Rev. B: Condens Matter Mater. Phys. 83, 245140 (2011).
D.D. Solnyshkov, H. Flayac, G. Malpuech, Black holes and wormholes in spinor polariton condensates (2011), arXiv:1104.3013v1
C.J. Pethick, H. Smith, Bose–Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002)
J. Steinhauer, R. Ozeri, N. Katz et al., Excitation spectrum of a Bose–Einstein condensate. Phys. Rev. Lett. 88, 120407 (2002)
S. Utsunomiya, L. Tian, G. Roumpos et al., Observation of Bogoliubov excitations in exciton–polariton condensates. Nat. Phys. 4, 700 (2008)
V. Kohnle, Y. Léger, M. Wouters et al., From single particle to superfuid excitations in a dissipative polariton gas (2011), arXiv:1103.1488v1
E. Cancellieri, F.M. Marchetti, M.H. Szymanska et al., Superflow of resonantly driven polaritons against a defect. Phys. Rev. B: Condens. Matter Mater. Phys. 82, 224512 (2010)
R.Y. Chiao, J. Boyce, Bogoliubov dispersion relation and the possibility of superfluidity for weakly interacting photons in a two-dimensional photon fluid. Phys. Rev. A 60, 4114 (1999)
E.L. Bolda, R.Y. Chiao, W.H. Zurek, Dissipative optical flow in a nonlinear Fabry–Pérot cavity. Phys. Rev. Lett. 86, 416 (2001)
P. Leboeuf, S. Moulieras, Superfluid motion of light. Phys. Rev. Lett. 105, 163904 (2010)
D. Sanvitto, D.M. Whittaker, M.S. Skolnick et al., Continuous wave pump–probe experiment on a planar microcavity. Phys. Status Solid A 202, 353 (2005)
P. Nozieres, D. Pines, Theory of Quantum Liquids (Westview Press, Boulder, CO, USA, 1999)
D.N. Krizhanovskii, D.M. Whittaker, R.A. Bradley et al., Effect of interactions on vortices in a nonequilibrium polariton condensate. Phys. Rev. Lett. 104, 126402 (2010)
M. Wouters, V. Savona, Superfluidity of a nonequilibrium Bose–Einstein condensate of polaritons. Phys. Rev. B: Condens Matter Mater. Phys. 81, 054508 (2010)
T. Tsuzuki, Nonlinear waves in the Pitaevskii–Gross equation. J. Low Temp. Phys. 4, 441 (1971)
F. Dalfovo, S. Giorgini, L.P. Pitaevskii et al., Theory of Bose–Einstein condensation in trapped gases. Rev. Mod. Phys. 71, 463 LP (1999)
A.D. Jackson, G.M. Kavoulakis, C.J. Pethick, Solitary waves in clouds of Bose–Einstein condensed atoms. Phys. Rev. A 58, 2417 (1998)
S. Burger, K. Bongs, S. Dettmer et al., Dark solitons in Bose–Einstein condensates. Phys. Rev. Lett. 83, 5198 (1999)
J. Denschlag, J.E. Simsarian, D.L. Feder et al., Generating solitons by phase engineering of a Bose–Einstein condensate. Science 287, 97 (2000)
Y.S. Kivshar, B. Luther-Davies, Dark optical solitons: physics and applications. Phys. Rep. 298, 81 (1998)
D.E. Pelinovsky, Y.A. Stepanyants, Y.S. Kivshar, Self-focusing of plane dark solitons in nonlinear defocusing media. Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 51, 5016 LP (1995)
E.A. Kuznetsov, S.K. Turitsyn, Instability and collapse of solitons in media with a defocusing nonlinearity. Sov. Phys. JETP 67, 1583 (1988)
Z. Dutton, M. Budde, C. Slowe et al., Observation of quantum shock waves created with ultra-compressed slow light pulses in a Bose–Einstein condensate. Science 293, 663 (2001)
A.M. Kamchatnov, L.P. Pitaevskii, Stabilization of solitons generated by a supersonic flow of Bose–Einstein condensate past an obstacle. Phys. Rev. Lett. 100, 160402 (2008)
A.M. Kamchatnov, S.V. Korneev, Condition for convective instability of dark solitons Phys. Lett. A 375, 2577 (2011)
J. Keeling, N.G. Berloff, Controllable half-vortex lattices in an incoherently pumped polariton condensate (2011), arXiv:1102.5302v1
A. Amo, S. Pigeon, C. Adrados et al., Light engineering of the polariton landscape in semiconductor microcavities. Phys. Rev. B: Condens Matter Mater. Phys. 82, 081301 (2010)
Y.G. Rubo, Half vortices in exciton polariton condensates. Phys. Rev. Lett. 99, 106401 (2007)
H. Flayac, D.D. Solnyshkov, G. Malpuech, Oblique half-solitons and their generation in exciton–polariton condensates. Phys. Rev. B: Condens Matter Mater. Phys. 83, 193305 (2011)
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Amo, A., Bramati, A. (2012). Superfluidity and Hydrodynamic Topological Excitations of Microcavity Polaritons. In: Timofeev, V., Sanvitto, D. (eds) Exciton Polaritons in Microcavities. Springer Series in Solid-State Sciences, vol 172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24186-4_7
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