Quantum Chaos, Thermalization, and Non-locality

TL;DR

This study explores how non-local, integrable quantum Hamiltonians can induce thermalization without quantum chaos, affecting entanglement and quantum correlations.

Contribution

It demonstrates that non-locality can lead to thermalization independently of quantum chaoticity, challenging traditional assumptions.

Findings

Non-local Hamiltonians can induce thermalization.

Quantum correlations can be destroyed by non-locality.

Thermalization does not require quantum chaos.

Abstract

In this paper, we numerically investigate whether quantum thermalization occurs during the time evolution induced by a non-local Hamiltonian whose spectra exhibit integrability. This non-local and integrable Hamiltonian is constructed by combining two types of integrable Hamiltonians. From the time dependence of entanglement entropy and mutual information, we find that non-locality can evolve the system into the typical state. On the other hand, the time dependence of logarithmic negativity shows that the non-locality can destroy the quantum correlation. These findings suggest that the quantum thermalization induced by the non-local Hamiltonian does not require the quantum chaoticity of the system.