Exact analytical solution for the density matrix of a nonequilibrium polariton Bose-Einstein condensate
Exact analytical solution for the density matrix of a nonequilibrium polariton Bose-Einstein condensate
In this Letter, we give an analytical quantum description of a nonequilibrium polariton Bose-Einstein condensate (BEC) based on the solution of the master equation for the full polariton density matrix in the limit of fast thermalization. We find the density matrix of a nonequilibrium BEC, that takes into account quantum correlations between all polariton states. We show that the formation of BEC is accompanied by the build-up of cross-correlations between the ground state and the excited states reaching their highest values at the condensation threshold. Despite the nonequilibrium nature of polariton systems, we show the average population of polariton states exhibits the Bose-Einstein distribution with an almost zero effective chemical potential above the condensation threshold similar to an equilibrium BEC. We demonstrate that above threshold the effective temperature of polaritons drops below the reservoir temperature.
Shishkov, Vladislav
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Zasedatelev, Anton
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Lagoudakis, Pavlos
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Andrianov, Evgeny
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Lozovik, Yurii
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11 February 2022
Shishkov, Vladislav
bf1246e4-887a-431c-bc1a-3f520c8898ca
Zasedatelev, Anton
dc71c70b-62fd-4297-8ea3-d3fe88418371
Lagoudakis, Pavlos
ea50c228-f006-4edf-8459-60015d961bbf
Andrianov, Evgeny
496d51f7-697d-4c4c-82a6-6c27d738c16c
Lozovik, Yurii
dd0af974-742b-4a51-81ac-823318a6f002
Shishkov, Vladislav, Zasedatelev, Anton, Lagoudakis, Pavlos, Andrianov, Evgeny and Lozovik, Yurii
(2022)
Exact analytical solution for the density matrix of a nonequilibrium polariton Bose-Einstein condensate.
Physical Review Letters, 128 (6), [065301].
(doi:10.1103/PhysRevLett.128.065301).
Abstract
In this Letter, we give an analytical quantum description of a nonequilibrium polariton Bose-Einstein condensate (BEC) based on the solution of the master equation for the full polariton density matrix in the limit of fast thermalization. We find the density matrix of a nonequilibrium BEC, that takes into account quantum correlations between all polariton states. We show that the formation of BEC is accompanied by the build-up of cross-correlations between the ground state and the excited states reaching their highest values at the condensation threshold. Despite the nonequilibrium nature of polariton systems, we show the average population of polariton states exhibits the Bose-Einstein distribution with an almost zero effective chemical potential above the condensation threshold similar to an equilibrium BEC. We demonstrate that above threshold the effective temperature of polaritons drops below the reservoir temperature.
Text
2105.02940
- Accepted Manuscript
More information
Accepted/In Press date: 7 January 2022
Published date: 11 February 2022
Additional Information:
Funding Information:
The work was supported by the Russian Science Foundation (Grant No. 20-72-10145). E. S. A. and V. Yu. S. thank the Foundation for the Advancement of Theoretical Physics and Mathematics Basis. P. G. L. acknowledges support by the European H2020-FETOPEN project POLLOC (Grant No. 899141). Y. E. L. acknowledges the Basic Research Program at the National Research University HSE.
Publisher Copyright:
© 2022 American Physical Society.
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Local EPrints ID: 456172
URI: http://eprints.soton.ac.uk/id/eprint/456172
ISSN: 1079-7114
PURE UUID: a4644a81-177f-437c-b56d-e739f37d5891
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Date deposited: 26 Apr 2022 15:15
Last modified: 16 Mar 2024 16:31
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Contributors
Author:
Vladislav Shishkov
Author:
Anton Zasedatelev
Author:
Pavlos Lagoudakis
Author:
Evgeny Andrianov
Author:
Yurii Lozovik
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