论文标题

1D玻色气体的广义流体力学基准

Benchmarks of Generalized Hydrodynamics for 1D Bose Gases

论文作者

Watson, R. S., Simmons, S. A., Kheruntsyan, K. V.

论文摘要

广义流体动力学(GHD)是一种最近的理论方法,它正在成为表征在可集成且近乎综合的量子多体系统中表征异常平衡现象的首选工具。在这里,我们针对Lieb-Liniger模型描述的一维相互作用的一维bose气体基准对其性能进行基准性能。特别是,我们研究了局部密度凸起和倾斜的演变,以及牛顿量子的摇篮设置,以进行各种相互作用强度和初始平衡温度。我们发现,GHD通常在足够高的温度或较强的相互作用下表现良好。对于低温和较弱的相互作用,我们强调了GHD在短长度上不捕获干扰现象的情况下,可以根据卷积平均表达粗粒的行为,该卷积平均模拟超速原子实验中的有限成像分辨率。在牛顿量子的摇篮设置中,基于双孔至单孔陷阱淬灭,我们发现具有扩散校正的GHD与经典野外方法的预测表现出了极好的一致性。

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance against an array of alternative theoretical methods, for an interacting one-dimensional Bose gas described by the Lieb-Liniger model. In particular, we study the evolution of both a localized density bump and dip, along with a quantum Newton's cradle setup, for various interaction strengths and initial equilibrium temperatures. We find that GHD generally performs very well at sufficiently high temperatures or strong interactions. For low temperatures and weak interactions, we highlight situations where GHD, while not capturing interference phenomena on short lengthscales, can describe a coarse-grained behaviour based on convolution averaging that mimics finite imaging resolution in ultracold atom experiments. In a quantum Newton's cradle setup based on a double-well to single-well trap quench, we find that GHD with diffusive corrections demonstrates excellent agreement with the predictions of a classical field approach.

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