Oscillating-mode gap: An indicator of phase transitions in open quantum many-body systems,Physical Review B

当前位置： X-MOL 学术 › Phys. Rev. B › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Oscillating-mode gap: An indicator of phase transitions in open quantum many-body systems
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-09 , DOI: 10.1103/physrevb.110.104303
Taiki Haga ₁

Affiliation

It presents a significant challenge to elucidate the relationship between the phases of open quantum many-body systems and the spectral structure of their governing Liouvillian, which determines how the density matrix evolves. Previous studies have focused on the Liouvillian gap, defined as the decay rate of the most slowly decaying mode, as a key indicator of dissipative phase transition, noting its closure in symmetry-broken phases and opening in disordered phases. In this work, we propose an additional spectral gap, termed the oscillating-mode gap, defined as the decay rate of the most slowly decaying oscillating mode. Through the analysis of a prototype dissipative boson system, we demonstrate the necessity of both the Liouvillian gap and the oscillating-mode gap for the comprehensive characterization of the system's phases and the transitions between them.

中文翻译：

振荡模式间隙：开放量子多体系统中相变的指标

阐明开放量子多体系统的相位与其控制刘维尔谱结构之间的关系提出了重大挑战，刘维尔谱结构决定了密度矩阵如何演化。先前的研究主要集中在刘维尔能隙（定义为最慢衰减模式的衰减率）上，作为耗散相变的关键指标，注意到它在对称破缺相中闭合，在无序相中打开。在这项工作中，我们提出了一个额外的光谱间隙，称为振荡模式间隙，定义为衰减最慢的振荡模式的衰减率。通过对原型耗散玻色子系统的分析，我们证明了刘维尔能隙和振荡模能隙对于全面表征系统相及其之间的转变的必要性。

更新日期：2024-09-09

点击分享查看原文

点击收藏

阅读更多本刊新发论文本刊介绍/投稿指南