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0Non-Markovian behavior of exciton-polaritonic Bose-Einstein condensates
N.V. Kuznetsova1, D.V. Makarov1*, N.A. Asriyan2, A.A. Elistratov2, Yu.E. Lozovik3,4
1- V.I. Il'ichev Pacific Oceanological Institute FEB RAS, Baltiyskaya Str. 43, Vladivostok, 690041, Russia 2- N.L. Dukhov All-Russia Research Institute of Automatics, Sushchevskaya Str. 22, Moscow, 127055, Russia 3- Institute of Spectroscopy RAS, Fizicheskaya Str. 5, Troitsk, 142190, Russia 4- Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, Bol. Trekhsvyatitel'skyper. 1-3/12, build. 8, Moscow, 101000, Russia
* makarov@poi.dvo.ru
Exciton-polaritons are quasiparticles being coupled states of semiconductor excitons and cavity photons. Contemporary technologies of cavity fabrication allow for exciton-polariton lifetimes of hundred picoseconds that makes them experimentally observable. Owing to strong interaction of excitons, exciton-polaritons can form a Bose-Einstein condensate (BEC). Exciton-polaritonic BEC is an intrinsically open quantum system, where strong particle loss is compensated by external incoherent laser pumping. The pumping leads to stimulated relaxation of reservoir excitons into the condensate and the onset of a quasistationary state.
In the present work dynamics of exciton-polaritons is considered for temperatures of few ten kelvins, when coupling of BEC to the excitonic reservoir is essentially non-Markovian [1]. The non-Markovian stochastic Gross-Pitaevskii equation is developed to describe temporal evolution of the condensate wave function [2,3]. It is shown that variation of temperature results in phase transitions according to the BKT scenario. Also, it is found that these phase transitions are highly suppressed in the case of exciton-polaritonic condensates forming a lattice.
[1] D.V. Makarov, A.A. Elistratov, Yu.E. Lozovik, Non-Markovian effects in dynamics of exciton-polariton Bose condensates, Physics Letters A, vol. 384, 126942, (2020).
[2] A.A. Alliluev, D.V. Makarov, N.A. Asriyan, A.A. Elistratov, Yu.E. Lozovik, Formation of exciton-polaritonic BEC in the non-Markovian regime, Physics Letters A, vol. 453, 128492, (2022).
[3] A.A. Alliluev, D.V. Makarov, N.A. Asriyan, A.A. Elistratov, Yu.E. Lozovik, Non-Markovian stochastic Gross-Pitaevskii equation for the exciton-polariton Bose-Einstein condensate, J. Low Temper. Phys. Vol. 214, pp. 331-343, (2024).
