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Physica Scripta

Dynamical evolution of exciton-polariton Bose–Einstein condensate under coupled interaction

Ying Wang, Xiaoning Liu, Yuan Ren, Zhengliang Liu, Hao Wu, Zhenyu Xiong

Published Feb 8, 2024• 1 citation
Publisher

Abstract

Abstract We studied the exciton-polariton Bose–Einstein condensation (BEC) under light field manipulation by considering the coupled interaction of the system between exciton-polariton and light. Based on the coupled Gross–Pitaevskii equation (GPE) model and with modified variational method, we analytically derived the solutions of the excitonic system under the polar angle direction perturbation and system rotation. We identified that for different rotational angular velocities and different coupled strengths, the system evolves from a meta-stable oscillation state to monotonically decaying state, with potential for the study of quantum vortex identification for such kind of coupled systems. Our theoretical results can be used to guide the study of the evolution mode of the exciton-polariton system involving coupled interaction.

DOI
10.1088/1402-4896/ad27c0

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Abstract We studied the exciton-polariton Bose–Einstein condensation (BEC) under light field manipulation by considering the coupled interaction of the system between exciton-polariton and light. Based on the coupled Gross–Pitaevskii equation (GPE) model and with modified variational method, we analytically derived the solutions of the excitonic system under the polar angle direction perturbation and system rotation. We identified that for different rotational angular velocities and different coupled strengths, the system evolves from a meta-stable oscillation state to monotonically decaying state, with potential for the study of quantum vortex identification for such kind of coupled systems. Our theoretical results can be used to guide the study of the evolution mode of the exciton-polariton system involving coupled interaction.
For the exciton–polariton BEC system modulated by vortex light, we study its evolution based on the driven-dissipative Gross–Pitaevskii equation model. Via modified variational method, we first derive the two-dimensional system’s evolution pattern from the initially coherent state prepared by vortex light modulation for non-rotating states and rotating states with various angular velocities. We identify close qualitatively matched patterns by comparing our theoretically derived evolution patterns with that from pure numerical simulation, demonstrating the applicability of our theoretical treatment presented. The derived exciton–polariton evolution pattern formulation can then be used to guide experimental observations of vortex manipulation effects for the exciton–polariton BEC system, with the possible identification of quantum gyroscopic effects.
Based on the two-dimensional Gross–Pitaevskii equation model, we investigated the asymmetric vortex evolution of two-dimensional Bose–Einstein condensates in a harmonic potential trap with polar direction perturbation. This corresponds to the generation of an asymmetric vortex evolution mode under initial vortex light manipulation together with polar direction perturbation. Unlike most of the prior work on this topic that uses a pure numerical method for the system under study, we use an exact analytical method rather than numerical simulation to investigate the key features of the system evolution dynamics in this study. Based on the variational method, and for different system parameter settings including the strength of the harmonic oscillator potential and the nonlinear interaction, we derived two evolution modes, namely, the periodic evolution oscillation mode and the monotonic decay mode, and pictorially demonstrated the evolution patterns of the system. In addition, we investigated the scenario when the system is in the rotating state, which corresponds to the action of the quadratic centrifugal potential. Notably, we also identified the damping effects for the two modes with increasing angular velocity, whose upper limit value corresponds to the constant vortex pattern of the system. Our theoretical results can be used to guide the experimental investigation of asymmetric vortex evolution in two-dimensional Bose–Einstein condensates.
We studied the evolution of vortex solitons in two-component coupled Bose-Einstein condensates trapped in a harmonic potential. Using a two-dimensional coupled Gross-Pitaevskii equation model and a variational method, we theoretically derived the vortex soliton solution. Under an appropriate parametric setting, the derived vortex soliton radius was found to oscillate periodically. The derived quasi-stable states with typical nonlinear features are pictorially demonstrated and can be used to guide relevant experimental observations of vortex soliton phenomena in coupled ultracold atomic systems.
The properties of traps for exciton polaritons in a semiconductor microcavity with an embedded quantum well have been considered. The behavior of the two-component Bose-Einstein condensate of photons and excitons described by the coupled system of Gross-Pitaevskii equations has been investigated. The analytical solutions for weak-confinement traps have been found in the Thomas-Fermi approximation. In the case of strong confinement, the behavior of the condensate has been investigated and constraints on the possible values of the chemical potential of the system have been obtained. The wavefunctions and generally different spatial profiles of the coupled photon and exciton condensates have been found.
Abstract The dynamics of an exciton–polariton Bose–Einstein condensate in an optical microcavity was considered. A novel version of the stochastic Gross–Pitaevskii equation was proposed to describe the condensate evolution under the non-Markovian interaction with the environment. The proposed version was used to analyze the condensate dynamics at various temperatures. The phase transition from the homogeneous to the fragmented state of the condensate near a temperature of 15 K was detected. This phase transition is accompanied by a sharp drop in the condensate density and a decrease in the correlation length. It was found that, at a temperature of 10 K, the correlation length oscillates with time. The results obtained indicated the necessity to take into account the non-Markovianity of the condensate interaction with the excitonic reservoir.
We study the evolution of vortex solitons in two-component Bose-Einstein condensates (BEC) trapped with harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, We derived the analytical vortex soliton solution that is stable under certain parametric setting. The evolutionary pattern of the vortex soliton is pictorially demonstrated showing the periodic oscillatory behavior of the systems’s distribution width. The theoretical results obtained can be used to guide corresponding vortex soliton observation in two-component BEC systems.