Quantum dynamics of thermalizing systems

TL;DR

The paper presents a new method called DMT for simulating the quantum dynamics of strongly thermalizing 1D systems over arbitrary times, effectively handling various initial states including near- and far-from-equilibrium conditions.

Contribution

Introduction of DMT, a novel approach combined with TEBD, enabling efficient simulation of thermalizing quantum systems over long times.

Findings

DMT performs well for near-equilibrium states.

Effective for far-from-equilibrium states and quenches.

Allows simulation of dynamics across phase transitions.

Abstract

We introduce a method "DMT" for approximating density operators of 1D systems that, when combined with a standard framework for time evolution (TEBD), makes possible simulation of the dynamics of strongly thermalizing systems to arbitrary times. We demonstrate that the method performs well for both near-equilibrium initial states (Gibbs states with spatially varying temperatures) and far-from-equilibrium initial states, including quenches across phase transitions and pure states.