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arXiv 2402.15316cond-mat.quant-gas
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驱动耗散激子极化激元凝聚体蓝移的平均场外修正

Beyond-mean-field corrections to the blueshift of a driven-dissipative exciton-polariton condensate

Félix Helluin, Léonie Canet, Anna Minguzzi

AI总结:

本研究通过Bogoliubov线性化理论及数值模拟,解析了KPZ区域中一维激子极化激元凝聚体蓝移的随机修正及其对噪声和相互作用的依赖,深化了非平衡凝聚体与KPZ映射的理解。

摘要:

在不存在涡旋或相位滑移的情况下,激子极化激元凝聚体的相位动力学被证明可以映射到Kardar-Parisi-Zhang (KPZ)方程,该方程描述了经典界面的随机生长。这意味着这种非平衡准凝聚体的相干性在空间和时间上按照拉伸指数衰减,其特征由KPZ普适临界指数决定。在本工作中,我们关注KPZ区域内一维激子极化激元凝聚体平均相位的时间演化,并确定其演化频率,该频率由蓝移给出,即化学势的非平衡类比。我们在Bogoliubov线性化理论框架内确定了蓝移的随机修正,并发现虽然该修正物理上源于短尺度效应,且依赖于密度和相位涨落,但它仍然可以与有效的大尺度KPZ参数相关联。利用完整动力学的数值模拟,我们研究了这些蓝移修正对噪声和相互作用强度的依赖关系,并将结果与Bogoliubov预测进行了比较。我们的发现既有助于平衡与非平衡凝聚体之间的紧密比较,也有助于对KPZ映射的理论理解。

英文摘要:

In the absence of vortices or phase slips, the phase dynamics of exciton-polariton condensates was shown to map onto the Kardar-Parisi-Zhang (KPZ) equation, which describes the stochastic growth of a classical interface. This implies that the coherence of such non-equilibrium quasi-condensates decays in space and time following stretched exponentials, characterized by KPZ universal critical exponents. In this work, we focus on the time evolution of the average phase of a one-dimensional exciton-polariton condensate in the KPZ regime and determine the frequency of its evolution, which is given by the blueshift, i.e. the non-equilibrium analog of the chemical potential. We determine the stochastic corrections to the blueshift within Bogoliubov linearized theory and find that while this correction physically originates from short scale effects, and depends both on density and phase fluctuations, it can still be related to the effective large-scale KPZ parameters. Using numerical simulations of the full dynamics, we investigate the dependence of these blueshift corrections on both noise and interaction strength, and compare the results to the Bogoliubov prediction. Our finding contributes both to the close comparison between equilibrium and non-equilibrium condensates, and to the theoretical understanding of the KPZ mapping.

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