Topological phase transitions induced by varying topology and boundaries in the toric code

Amit Jamadagni, Arpan Bhattacharyya

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

One of the important characteristics of topological phases of matter is the topology of the underlying manifold on which they are defined. In this paper, we present the sensitivity of such phases of matter to the underlying topology, by studying the phase transitions induced due to the change in the boundary conditions. We claim that these phase transitions are accompanied by broken symmetries in the excitation space and to gain further insight we analyze various signatures like the ground state degeneracy, topological entanglement entropy while introducing the open-loop operator whose expectation value effectively captures the phase transition. Further, we extend the analysis to an open quantum setup by defining effective collapse operators, the dynamics of which cool the system to distinct steady states both of which are topologically ordered. We show that the phase transition between such steady states is effectively captured by the expectation value of the open-loop operator.

Original languageEnglish
Article number103001
JournalNew Journal of Physics
Volume23
Issue number10
DOIs
StatePublished - Oct 2021
Externally publishedYes

Keywords

  • dissipative phase transitions
  • open quantum systems
  • topological phase transitions

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