Influence of pump size on pattern formation in exciton-polaritonic Bose-Einstein condensates in the non-Markovian regime

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Main Authors: Kuznetsova, N. V., Alliluev, A. D., Makarov, D. V., Anisich, A. A.
Format: Preprint
Published: 2026
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author Kuznetsova, N. V.
Alliluev, A. D.
Makarov, D. V.
Anisich, A. A.
author_facet Kuznetsova, N. V.
Alliluev, A. D.
Makarov, D. V.
Anisich, A. A.
contents Dynamics of exciton-polaritonic condensate under incoherent pumping is studied using the non-Markovian stochastic Gross-Pitaevskii equation with the pseudo-differential dispersion term. This term corresponds to the lower energy branch of polaritons. It is shown that an increasing of the pumping spot area leads to the appearance of various spatial structures whose properties depend on the duration of the dynamical memory. In the regime of short memory time, condensate can form an extended state that spans outside the pumping area. We conclude that onset of such extended states is related to the specific form of the dispersion term causing the ``traffic jam'' effect. The case of long memory time corresponds to enhanced condensate formation, when increasing of the pumping area leads to appearance of angular condensate structures which partially suppress emission of matter waves from the pumping area.
format Preprint
id arxiv_https___arxiv_org_abs_2605_10472
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Influence of pump size on pattern formation in exciton-polaritonic Bose-Einstein condensates in the non-Markovian regime
Kuznetsova, N. V.
Alliluev, A. D.
Makarov, D. V.
Anisich, A. A.
Quantum Gases
Statistical Mechanics
Pattern Formation and Solitons
Optics
Quantum Physics
81V73
Dynamics of exciton-polaritonic condensate under incoherent pumping is studied using the non-Markovian stochastic Gross-Pitaevskii equation with the pseudo-differential dispersion term. This term corresponds to the lower energy branch of polaritons. It is shown that an increasing of the pumping spot area leads to the appearance of various spatial structures whose properties depend on the duration of the dynamical memory. In the regime of short memory time, condensate can form an extended state that spans outside the pumping area. We conclude that onset of such extended states is related to the specific form of the dispersion term causing the ``traffic jam'' effect. The case of long memory time corresponds to enhanced condensate formation, when increasing of the pumping area leads to appearance of angular condensate structures which partially suppress emission of matter waves from the pumping area.
title Influence of pump size on pattern formation in exciton-polaritonic Bose-Einstein condensates in the non-Markovian regime
topic Quantum Gases
Statistical Mechanics
Pattern Formation and Solitons
Optics
Quantum Physics
81V73
url https://arxiv.org/abs/2605.10472