Symmetry Protected Topological Order in Open Quantum Systems

Caroline de Groot (Corresponding author), Alex Turzillo (Corresponding author), Norbert Schuch (Corresponding author)

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other probes under noisy channels. We find that one-dimensional SPT order is robust against noisy couplings to the environment that satisfy a strong symmetry condition, while it is destabilized by noise that satisfies only a weak symmetry condition, which generalizes the notion of symmetry for closed systems. We also discuss "transmutation" of SPT phases into other SPT phases of equal or lesser complexity, under noisy channels that satisfy twisted versions of the strong symmetry condition.
Original languageEnglish
Article number856
Pages (from-to)1-39
Number of pages39
JournalQuantum
Volume6
DOIs
Publication statusPublished - 10 Nov 2022

Austrian Fields of Science 2012

  • 103025 Quantum mechanics
  • 103015 Condensed matter
  • 101028 Mathematical modelling

Keywords

  • quant-ph
  • cond-mat.str-el

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