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

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.

References in corpus (20)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Thermalization and its mechanism for generic isolated quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Quantum many-body systems out of equilibrium
• Transport and conservation laws
• Microscopic observation of magnon bound states and their dynamics
• Finite-temperature transport in one-dimensional quantum lattice models
• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• Exact nonequilibrium steady state of a strongly driven open XXZ chain
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Integrability and ideal conductance at finite temperatures
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Microscopic origin of ideal conductivity in integrable quantum models
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Superdiffusion in spin chains
• Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
• Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions
• Quantum Information Scrambling Through a High-Complexity Operator Mapping