Non-Markovian Stochastic Gross–Pitaevskii Equation for the Exciton–Polariton Bose–Einstein Condensate
In this paper, a non-Markovian version of the Gross–Pitaevskii equation is proposed to describe the condensate formation in an exciton–polariton system subject to incoherent pumping. By introducing spatially delta-correlated noise terms, we observe a transition from a spatially ordered phase to a di...
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| Published in | Journal of low temperature physics Vol. 214; no. 5-6; pp. 331 - 343 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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New York
Springer US
01.03.2024
Springer Nature B.V |
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| ISSN | 0022-2291 1573-7357 |
| DOI | 10.1007/s10909-023-03027-4 |
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| Abstract | In this paper, a non-Markovian version of the Gross–Pitaevskii equation is proposed to describe the condensate formation in an exciton–polariton system subject to incoherent pumping. By introducing spatially delta-correlated noise terms, we observe a transition from a spatially ordered phase to a disordered one with simultaneous density reduction as the temperature increases. Above the transition temperature, the uniform condensate breaks up into multiple irregularly located separate dense spots. Using the Gabor transform, we demonstrate condensate decoherence with increasing temperature, which is accompanied by the transition from narrow-band to broadband spectral density. |
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| AbstractList | In this paper, a non-Markovian version of the Gross–Pitaevskii equation is proposed to describe the condensate formation in an exciton–polariton system subject to incoherent pumping. By introducing spatially delta-correlated noise terms, we observe a transition from a spatially ordered phase to a disordered one with simultaneous density reduction as the temperature increases. Above the transition temperature, the uniform condensate breaks up into multiple irregularly located separate dense spots. Using the Gabor transform, we demonstrate condensate decoherence with increasing temperature, which is accompanied by the transition from narrow-band to broadband spectral density. |
| Author | Alliluev, Alexey D. Elistratov, Andrei A. Makarov, Denis V. Asriyan, Norayr A. Lozovik, Yurii E. |
| Author_xml | – sequence: 1 givenname: Alexey D. surname: Alliluev fullname: Alliluev, Alexey D. organization: V. I. Il’ichev Pacific Oceanological Institute, Far East Branch of the Russian Academy of Sciences – sequence: 2 givenname: Denis V. surname: Makarov fullname: Makarov, Denis V. email: makarov@poi.dvo.ru organization: V. I. Il’ichev Pacific Oceanological Institute, Far East Branch of the Russian Academy of Sciences – sequence: 3 givenname: Norayr A. surname: Asriyan fullname: Asriyan, Norayr A. organization: N.L. Dukhov Research Institute of Automatics (VNIIA), Institute of Microelectronics Technology RAS – sequence: 4 givenname: Andrei A. surname: Elistratov fullname: Elistratov, Andrei A. organization: N.L. Dukhov Research Institute of Automatics (VNIIA) – sequence: 5 givenname: Yurii E. surname: Lozovik fullname: Lozovik, Yurii E. organization: Institute for Spectroscopy RAS, MIEM, National Research University Higher School of Economics |
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| Cites_doi | 10.1143/PTP.20.948 10.1103/PhysRevResearch.3.013099 10.1016/j.physleta.2022.128492 10.1103/PhysRevLett.107.106401 10.1364/OPTICA.5.001163 10.1103/PhysRevB.97.014525 10.1038/nature05131 10.1063/1.524138 10.1103/PhysRevResearch.3.013135 10.1103/RevModPhys.88.021002 10.1016/j.physleta.2020.127036 10.1023/A:1017519118408 10.1103/PhysRevLett.112.113602 10.1021/acs.nanolett.2c00235 10.1002/andp.201900231 10.1103/PhysRevB.98.195312 10.1093/acprof:oso/9780199213900.001.0001 10.1134/S1063782612070196 10.1038/s41467-019-14243-6 10.1103/RevModPhys.89.015001 10.3367/UFNe.2019.04.038549 10.1016/j.physleta.2020.126942 10.1103/PhysRevA.70.012106 10.1063/1.1731409 10.1134/S1054660X09040057 10.1016/S0375-9601(97)00717-2 |
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| Keywords | Exciton–polaritons Optical coherence Bose–Einstein condensation Non-Markovian dynamics |
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| Snippet | In this paper, a non-Markovian version of the Gross–Pitaevskii equation is proposed to describe the condensate formation in an exciton–polariton system subject... |
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| SubjectTerms | Bose-Einstein condensates Broadband Characterization and Evaluation of Materials Condensed Matter Physics Density Excitons Gabor transformation Magnetic Materials Magnetism Physics Physics and Astronomy Polaritons Transition temperature |
| Title | Non-Markovian Stochastic Gross–Pitaevskii Equation for the Exciton–Polariton Bose–Einstein Condensate |
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