Scholarlink

<p>Symmetry protected topological (SPT) phases are fundamental quantum many-body states of matter beyond Landau’s paradigm. Here, we introduce the concept of quantum restoration of SPT (QRSPT) phases, where the protecting symmetry appears to be spontaneously broken at the shortest spatiotemporal scales, but restored after averaging over quantum fluctuations, so that topological features re-emerge. To illustrate the concept, we study a one-dimensional fermionic Su-Schrieffer-Heeger model with fluctuating superconducting order. We solve this problem in several limiting cases using a variety of analytical methods and compare them to numerical (density matrix renormalization group) simulations, which are valid throughout the parameter regime. We thereby map out the phase diagram and identify a QRSPT phase with topological features which are reminiscent of (but not identical to) the topology of the underlying free fermion system. The paradigm of QRSPT phases thereby stimulates a new perspective for the constructive design of novel topological quantum many-body phases.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Quantum restoration of symmetry protected topological phases

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月4日

查看全文
  • Dhruv Tiwari,
  • Steffen Bollmann,
  • Sebastian Paeckel,
  • Elio J. König

摘要

Symmetry protected topological (SPT) phases are fundamental quantum many-body states of matter beyond Landau’s paradigm. Here, we introduce the concept of quantum restoration of SPT (QRSPT) phases, where the protecting symmetry appears to be spontaneously broken at the shortest spatiotemporal scales, but restored after averaging over quantum fluctuations, so that topological features re-emerge. To illustrate the concept, we study a one-dimensional fermionic Su-Schrieffer-Heeger model with fluctuating superconducting order. We solve this problem in several limiting cases using a variety of analytical methods and compare them to numerical (density matrix renormalization group) simulations, which are valid throughout the parameter regime. We thereby map out the phase diagram and identify a QRSPT phase with topological features which are reminiscent of (but not identical to) the topology of the underlying free fermion system. The paradigm of QRSPT phases thereby stimulates a new perspective for the constructive design of novel topological quantum many-body phases.