Generation of robust entangled states in a non-hermitian periodically driven two-band Bose-Hubbard system

TL;DR

This paper investigates a non-Hermitian, periodically driven two-band Bose-Hubbard system, revealing how dissipation and driving create robust, highly entangled states with potential for quantum applications.

Contribution

It introduces a non-Hermitian model demonstrating the generation of robust, entangled states through dissipation and periodic driving in a many-body system.

Findings

Robust asymptotic states are dynamically induced by dissipation and driving.

These states are highly entangled and resilient to imperfections.

The states remain stable across different system sizes.

Abstract

A many-body Wannier-Stark system coupled to an effective reservoir is studied within a non-Hermitian approach in the presence of a periodic driving. We show how the interplay of dissipation and driving dynamically induces a subspace of states which are very robust against dissipation. We numerically probe the structure of these asymptotic states and their robustness to imperfections in the initial-state preparation and to the size of the system. Moreover, the asymptotic states are found to be strongly entangled making them interesting for further applications.