论文标题
在遥远的平衡时，在一个维
Quantum transport of strongly interacting fermions in one dimension at far-out-of-equilibrium
论文作者
论文摘要
在量子传输的研究中，在热平衡附近的动力学众所周知。然而，远离平衡的量子传输知之甚少 - 一般而言，线性响应近似不足以均衡。在这项工作中，由于最近的冷原子实验探测一维XXZ自旋链的量子多体动力学，我们研究了对XXZ自旋链双重的一维无旋转费米模型的强相互作用极限。我们开发了一种高效的计算算法，以精确模拟该系统的非平衡动力学，并检查从密度调制量子状态开始的非平衡动力学。我们发现在这种密切相关的环境中的弹道传输，并长期进化出现了平面波描述。我们还观察到相互作用效应引起的短时和长时间的运输速度之间的急剧区分，并为长期运输速度提供了定量解释。
In the study of quantum transport, much has been known for dynamics near thermal equilibrium. However, quantum transport far away from equilibrium is much less well understood--the linear response approximation does not hold for physics far-out-of-equilibrium in general. In this work, motivated by recent cold atom experiments on probing quantum many-body dynamics of a one-dimensional XXZ spin chain, we study the strong interaction limit of the one-dimensional spinless fermion model, which is dual to the XXZ spin chain. We develop a highly efficient computation algorithm for simulating the non-equilibrium dynamics of this system exactly, and examine the non-equilibrium dynamics starting from a density modulation quantum state. We find ballistic transport in this strongly correlated setting, and show a plane-wave description emerges at long-time evolution. We also observe sharp distinction between transport velocities in short and long times as induced by interaction effects, and provide a quantitative interpretation for the long-time transport velocity.
