Mean field study of 2D quasiparticle condensate formation in presence of strong decay
1N.L. Dukhov Research Institute of Automatics (VNIIA), Moscow 127030, Russia
2Institute for Spectroscopy RAS, Troitsk 108840, Moscow, Russia
3Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, 101000 Moscow, Russia
| Published: | 2023-10-16, volume 7, page 1144 |
| Eprint: | arXiv:2209.09710v2 |
| Doi: | https://doi.org/10.22331/q-2023-10-16-1144 |
| Citation: | Quantum 7, 1144 (2023). |
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Abstract
Bose-condensation in a system of 2D quasiparticles is considered in the scope of a microscopic model. Mean-field dynamical equations are derived with the help of the Schwinger-Keldysh formalism and a simple model is proposed which allows to describe key features of condensate formation in systems with various quasiparticle decay rates. By analysing stationary solutions of this equation, we obtain the phase diagram of quasiparticle gas, finding a bistability region in the parameter space of the system. Finally, as an application of our theory, we study the phase diagram of a 2D exciton-polariton system in CdTe microcavity.

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► References
[1] S. Bose, Z. Phys. 26, 178 (1924).
[2] A. Einstein, Sitz. ber. Preuss. Akad. Wiss. 1, 3-14 (1925).
[3] M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E.A. Cornell, Science 269, 198201 (1995).
https://doi.org/10.1126/science.269.5221.198
[4] C.C. Bradley, C.A. Sackett, J.J. Tollett, and R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
https://doi.org/10.1103/PhysRevLett.75.1687
[5] K.B. Davis et al., Phys. Rev. Lett. 75, 39693973 (1995).
https://doi.org/10.1103/PhysRevLett.75.3969
[6] A. A. High, J. R. Leonard, A. T. Hammack, M. M. Fogler, L. V. Butov, A. V. Kavokin, K. L. Campman et A. C. Gossard Nature 483, 584–588 (2012).
https://doi.org/10.1038/nature10903
[7] A. A. High, J. R. Leonard, A. T. Hammack, M. M. Fogler, L. V. Butov, A. V. Kavokin, K. L. Campman et A. C. Gossard Nano Lett., 12, 5 (2012).
https://doi.org/10.1021/nl300983n
[8] J.Kasprzak et al., Nature 443, 409 (2006).
https://doi.org/10.1038/nature05131
[9] R.Balili et al., Science 316, 1007 (2007).
https://doi.org/10.1126/science.1140990
[10] S.O. Demokritov et al., Nature 443, 430 (2006).
https://doi.org/10.1038/nature05117
[11] J.Klaers, J.Schmitt, F.Verwinger, and M.Weitz, Nature 468, 545 (2010).
https://doi.org/10.1038/nature09567
[12] A. Imamoḡlu, R.J. Ram, Physics Letters A 214, 3–4, 193-198 (1996).
https://doi.org/10.1016/0375-9601(96)00175-2
[13] C. Piermarocchi, F. Tassone, V. Savona, A. Quattropani, and P. Schwendimann, Phys. Rev. B 53, 15834 (1996).
https://doi.org/10.1103/PhysRevB.53.15834
[14] P. Stenius, Physics Letters B 60, 14072 (1999).
https://doi.org/10.1103/PhysRevB.60.14072
[15] M. Wouters and I. Carusotto, Phys. Rev. Lett. 99, 140402 (2007).
https://doi.org/10.1103/PhysRevLett.99.140402
[16] J. Keeling, N. G. Berloff, Phys. Rev. Lett. 100, 250401(2008).
https://doi.org/10.1103/PhysRevLett.100.250401
[17] F. Manni, K. G. Lagoudakis et al, Phys. Rev. Lett. 107, 106401 (2011).
https://doi.org/10.1103/PhysRevLett.107.106401
[18] A. Opala, M. Pieczarka, and M. Matuszewski, Phys. Rev. B 98, 195312 (2018).
https://doi.org/10.1103/PhysRevB.98.195312
[19] L. A. Smirnov, D. A. Smirnova, E. A. Ostrovskaya, and Yu. S. Kivshar, Phys. Rev. B 89, 235310 (2014).
https://doi.org/10.1103/PhysRevB.89.235310
[20] F. Baboux, D. De Bernardis, V. Goblot, V. N. Gladilin, C. Gomez, E. Galopin, L. Le Gratiet, A. Lemaître, I. Sagnes, I. Carusotto, M. Wouters, A. Amo, and J. Bloch, Optica 5, 1163-1170 (2018).
https://doi.org/10.1364/OPTICA.5.001163
[21] L. P. Pitaevskii, Sov. Phys. JETP 35, 282 (1959).
[22] M. Wouters and I. Carusotto, Phys. Rev. Lett. 105, 020602 (2010).
https://doi.org/10.1103/PhysRevLett.105.020602
[23] H. Haug, T. D. Doan, and D. B. Tran Thoai, Phys. Rev. B 89, 155302 (2014).
https://doi.org/10.1103/PhysRevB.89.155302
[24] A. A. Elistratov and Yu. E. Lozovik, Phys. Rev. B 97, 014525 (2018).
https://doi.org/10.1103/PhysRevB.97.014525
[25] H. T. C. Stoof, Journal of Low Temperature Physics 114, 11-108 (1999).
https://doi.org/10.1023/A:1021897703053
[26] H. T. C. Stoof in: Kaiser, R., Westbrook, C., David, F. (eds), Coherent atomic matter waves. Les Houces - Ecole d'Ete de Physique Theoretique, 72, Springer, Berlin, Heidelberg (2001).
https://doi.org/10.1007/3-540-45338-5_3
[27] A.-W. de Leeuw, H. T. C. Stoof, and R. A. Duine, Phys. Rev. B 88, 033829 (2013).
https://doi.org/10.1103/PhysRevA.88.033829
[28] K. Dunnett and M. H. Szymanska, Phys. Rev. B 93, 195306 (2016).
https://doi.org/10.1103/PhysRevB.93.195306
[29] A. O. Slobodeniuk and D. M. Basko, Phys. Rev. B 94, 205423 (2016).
https://doi.org/10.1103/PhysRevB.94.205423
[30] H.T.C. Stoof, Phys. Rev. Lett. 66, 3148 (1991);Phys. Rev. A 45, 8398 (1992).
https://doi.org/10.1103/PhysRevA.45.8398
Cited by
[1] N. V. Kuznetsova, D. V. Makarov, N. A. Asriyan, A. A. Elistratov, and Yu. E. Lozovik, "Spatial Coherence of Exciton–Polariton Bose–Einstein Condensates", Bulletin of the Russian Academy of Sciences: Physics 88 6, 847 (2024).
[2] Natalia Kuznetsova, Denis Makarov, Norayr Armenovich Asriyan, and Andrei A. Elistratov, "Phase alignment in a lattice of exciton-polaritonic Bose-Einstein condensates", (2025).
[3] Natalia Kuznetsova, Denis Makarov, Norayr Armenovich Asriyan, and Andrei A. Elistratov, "Phase alignment in a lattice of exciton-polaritonic Bose-Einstein condensates", (2025).
[4] N.V. Kuznetsova, D.V. Makarov, N.A. Asriyan, and A.A. Elistratov, "Phase alignment in a lattice of exciton-polaritonic Bose-Einstein condensates", Physics Letters A 568, 131221 (2026).
[5] N. V. Kuznetsova, D. V. Makarov, N. A. Asriyan, A. A. Elistratov, and Yu. E. Lozovik, "Spatial coherence of exciton-polaritoniс Bose‒Einstein condensates", Izvestiâ Akademii nauk SSSR. Seriâ fizičeskaâ 88 6, 889 (2024).
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