Wave-packet and entanglement dynamics in a non-Hermitian many-body system

TL;DR

This paper investigates the wave-packet and entanglement dynamics in a non-Hermitian many-body quantum system, revealing unique dynamical features through advanced numerical methods, especially considering disorder and interactions.

Contribution

It introduces improved numerical techniques to study larger systems and explores the dynamical behavior of wave-packets and entanglement in a non-Hermitian model with disorder and interactions.

Findings

Identification of unique wave-packet dynamics

Revealed entanglement entropy behavior in non-Hermitian systems

Demonstrated effects of disorder and interactions on dynamics

Abstract

The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static properties of the model have been much studied; the complex spectrum, skin effect and its topological interpretation, etc. Effects of disorder and inter-particle interaction, especially, when they coexist, may be less understood. Here, we will also focus on its dynamical properties and reveal some unique features in the wave-packet and entanglement (entropy) dynamics. For that some latest (original) results based on improved numerics (with this a system of larger system size $L$ becomes accessible) are shown.