Symmetry-Protected Topological Edge Modes and Emergent Partial Time-Reversal Symmetry Breaking in Open Quantum Many-Body Systems,Physical Review Letters

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Symmetry-Protected Topological Edge Modes and Emergent Partial Time-Reversal Symmetry Breaking in Open Quantum Many-Body Systems
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-06-09 , DOI: 10.1103/physrevlett.126.237201
Zijian Wang _{1,

2} , Qiaoyi Li ₃ , Wei Li ₃ , Zi Cai _{1,

4}

Affiliation

Symmetry-protected topological edge modes are one of the most remarkable phenomena in topological physics. Here, we formulate and quantitatively examine the effect of a quantum bath on these topological edge modes. Using the density matrix renormalization group method, we study the ground state of a composite system of spin-1 quantum chain, where the system and the bath degrees of freedom are treated on the same footing. We focus on the dependence of these edge modes on the global and partial symmetries of system-bath coupling and on the features of the quantum bath. It is shown that the time-reversal symmetry (TRS) plays a special role for an open quantum system, where an emergent partial TRS breaking will result in a TRS-protected topological mode diffusing from the system edge into the bath, thus make it useless for quantum computation.

中文翻译：

开放量子多体系统中对称保护的拓扑边缘模式和紧急部分时间反转对称性破坏

对称保护拓扑边缘模式是拓扑物理学中最显着的现象之一。在这里，我们制定并定量检查量子浴对这些拓扑边缘模式的影响。使用密度矩阵重整化群方法，我们研究了自旋1量子链复合系统的基态，其中系统和浴自由度在同一基础上处理。我们关注这些边缘模式对系统-浴耦合的全局和部分对称性以及量子浴特征的依赖性。结果表明，时间反转对称性（TRS）对于开放量子系统起着特殊的作用，其中出现的部分 TRS 断裂将导致 TRS 保护的拓扑模式从系统边缘扩散到浴中，从而使其无用用于量子计算。

更新日期：2021-06-09

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