Quantum transport of strongly interacting fermions in one dimension at far-out-of-equilibrium

• URL: http://arxiv.org/abs/2206.13023v1
• Date: Mon, 27 Jun 2022 02:42:25 GMT
• Title: Quantum transport of strongly interacting fermions in one dimension at far-out-of-equilibrium
• Authors: Jie Zou and Xiaopeng Li
• Abstract summary: We study the strong interaction limit of the one-dimensional spinless fermion model, which is dual to the XXZ spin chain. We find ballistic transport in this strongly correlated setting, and show a plane-wave description emerges at long-time evolution.
• Score: 7.586708291294062
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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