陷阱淬火后热关联增强的解析结果
Analytic results for thermal correlation enhancement after a trap quench
- King’s College London（伦敦国王学院）
- Laboratoire de Physique de l’École Normale Supérieure, CNRS, ENS & Université PSL, Sorbonne Université, Université Paris Cité（巴黎高等师范学院物理实验室，法国国家科学研究中心，巴黎高等师范学院，巴黎文理研究大学，索邦大学，巴黎西岱大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究通过量子广义流体动力学的有限温度扩展，解析研究了热一维玻色气体在陷阱淬火后密度关联的增强，发现长时区域关联趋近于零温普适形式。
AI中文摘要：
我们研究了热一维玻色气体在陷阱淬火后密度关联的非平衡演化。我们聚焦于Tonks-Girardeau极限，并基于量子广义流体动力学的有限温度扩展发展了一种解析描述。我们将我们的预测与从双阱到谐振陷阱的淬火以及陷阱释放的精确数值结果进行了基准测试，并评估了其温度有效范围。我们的结果捕捉了膨胀阶段关联的动力学增强，即从热抑制到幂律体关联的交叉。对于陷阱释放，与固定体点相关的共形距离按$1/t$减小，因此关联逐渐探测一个与温度无关的普适区域~$\sim1/x^2$。因此，我们表明，在流体动力学长时区域，体密度关联趋近于其零温平衡形式，与初始温度无关。
英文摘要：
We investigate the nonequilibrium evolution of density correlations in a thermal one-dimensional Bose gas following a trap quench. We focus on the Tonks--Girardeau limit and develop an analytical description based on a finite-temperature extension of Quantum Generalized Hydrodynamics. We benchmark our predictions against exact numerics for a quench from a double well to a harmonic trap and for a trap release, and assess their temperature range of validity. Our results capture the dynamical enhancement of correlations during the expansion stages, namely the crossover from thermally suppressed to power-law bulk correlations. For the trap release, the conformal distance associated with fixed bulk points decreases as $1/t$, so the correlations progressively probe a universal regime~$\sim1/x^2$ that is independent of temperature. We thus show that, in the hydrodynamic long-time regime, the bulk density correlations approach their zero-temperature equilibrium form independently of the initial temperature.
