Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate

Exploring the dynamics of a mobile impurity immersed in field excitations is challenging, as it requires to account for the entanglement between the impurity and the surrounding excitations. To this end, the impurity’s effective mass has to be considered as finite, rather than infinite. Here, we the...

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Main Authors: Chunyu Jia, Zhaoxin Liang
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/12/1789
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author Chunyu Jia
Zhaoxin Liang
author_facet Chunyu Jia
Zhaoxin Liang
author_sort Chunyu Jia
collection DOAJ
description Exploring the dynamics of a mobile impurity immersed in field excitations is challenging, as it requires to account for the entanglement between the impurity and the surrounding excitations. To this end, the impurity’s effective mass has to be considered as finite, rather than infinite. Here, we theoretically investigate the interaction between a finite-mass impurity and a dissipative soliton representing nonlinear excitations in the polariton Bose–Einstein condensate (BEC). Using the Lagrange variational method and the open-dissipative Gross–Pitaevskii equation, we analytically derive the interaction phase diagram between the impurity and a dissipative bright soliton in the polariton BEC. Depending on the impurity mass, we find the dissipative soliton colliding with the impurity can transmit through, get trapped, or be reflected. This work opens a new perspective in understanding the impurity dynamics when immersed in field excitations, as well as potential applications in information processing with polariton solitons.
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spelling doaj.art-9ec805e92af74c51a834fa571cc5df6b2023-11-24T14:43:00ZengMDPI AGEntropy1099-43002022-12-012412178910.3390/e24121789Interaction between an Impurity and Nonlinear Excitations in a Polariton CondensateChunyu Jia0Zhaoxin Liang1Department of Physics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Physics, Zhejiang Normal University, Jinhua 321004, ChinaExploring the dynamics of a mobile impurity immersed in field excitations is challenging, as it requires to account for the entanglement between the impurity and the surrounding excitations. To this end, the impurity’s effective mass has to be considered as finite, rather than infinite. Here, we theoretically investigate the interaction between a finite-mass impurity and a dissipative soliton representing nonlinear excitations in the polariton Bose–Einstein condensate (BEC). Using the Lagrange variational method and the open-dissipative Gross–Pitaevskii equation, we analytically derive the interaction phase diagram between the impurity and a dissipative bright soliton in the polariton BEC. Depending on the impurity mass, we find the dissipative soliton colliding with the impurity can transmit through, get trapped, or be reflected. This work opens a new perspective in understanding the impurity dynamics when immersed in field excitations, as well as potential applications in information processing with polariton solitons.https://www.mdpi.com/1099-4300/24/12/1789polariton condensatesolitonentanglementopen-dissipative Gross–Pitaevskii equation
spellingShingle Chunyu Jia
Zhaoxin Liang
Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate
Entropy
polariton condensate
soliton
entanglement
open-dissipative Gross–Pitaevskii equation
title Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate
title_full Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate
title_fullStr Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate
title_full_unstemmed Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate
title_short Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate
title_sort interaction between an impurity and nonlinear excitations in a polariton condensate
topic polariton condensate
soliton
entanglement
open-dissipative Gross–Pitaevskii equation
url https://www.mdpi.com/1099-4300/24/12/1789
work_keys_str_mv AT chunyujia interactionbetweenanimpurityandnonlinearexcitationsinapolaritoncondensate
AT zhaoxinliang interactionbetweenanimpurityandnonlinearexcitationsinapolaritoncondensate