PIRSA:21110029

Symmetry protected topological order in open quantum systems

APA

Turzillo, A. (2021). Symmetry protected topological order in open quantum systems. Perimeter Institute. https://pirsa.org/21110029

MLA

Turzillo, Alex. Symmetry protected topological order in open quantum systems. Perimeter Institute, Nov. 18, 2021, https://pirsa.org/21110029

BibTex

          @misc{ pirsa_21110029,
            doi = {},
            url = {https://pirsa.org/21110029},
            author = {Turzillo, Alex},
            keywords = {Condensed Matter},
            language = {en},
            title = {Symmetry protected topological order in open quantum systems},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {nov},
            note = {PIRSA:21110029 see, \url{https://pirsa.org}}
          }
          

Abstract

I will discuss ongoing work on the robustness of symmetry protected topological (SPT) phases in open systems. By studying the evolution of non-local string order parameters, we find that one-dimensional SPT order is destabilized by couplings to the environment satisfying a weak symmetry condition that directly generalizes from closed systems. We introduce a stronger symmetry condition on channels that ensures SPT order is preserved. SPT phases of mixed states and their transformation under noisy channels is also discussed.