Localization behavior in a Hermitian and non-Hermitian Raman lattice

TL;DR

This paper investigates how localization phenomena in a quasi-periodic lattice are affected by non-Hermiticity and dissipation, revealing the suppression of critical localization behavior through atom loss.

Contribution

It introduces a Raman lattice model that explores the interplay between quasi-periodicity and non-Hermitian physics, highlighting controllable localization transitions.

Findings

Critical phases and mobility edges can be tuned via spin-dependent potentials.

Non-Hermiticity from atom loss suppresses critical localization behavior.

Insights into the effects of dissipation on localization phenomena.

Abstract

We propose a flexible Raman lattice system for alkaline-earth-like atoms to theoretically investigate localization behaviors in a quasi-periodic lattice with controllable non-Hermiticity. Our analysis demonstrates that critical phases and mobility edges can arise by adjusting spin-dependence of the incommensurate potentials in the Hermitian regime. With non-Hermiticity introduced by spin-selective atom loss, our calculations reveal that critical localization behaviour in this system can be suppressed by dissipation. Our work provides insights into interplay between quasi-periodicity and non-Hermitian physics, offering a new perspective on localization phenomena.