Related papers: Topological Phases in a PT-Symmetric Dissipative Kitaev Chain

Topological Phases in a PT-Symmetric Dissipative Kitaev Chain

URL: http://arxiv.org/abs/2301.08446v1
Date: Fri, 20 Jan 2023 06:53:46 GMT
Title: Topological Phases in a PT-Symmetric Dissipative Kitaev Chain
Authors: Makio Kawasaki and Hideaki Obuse
Abstract summary: We study a topological phase in the dissipative Kitaev chain described by the Markovian quantum master equation. We find out that the Lindbladian retains PT symmetry which is the prominent symmetry of open systems.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study a topological phase in the dissipative Kitaev chain described by the Markovian quantum master equation. Based on the correspondence between Lindbladians, which generate the dissipative time-evolution, and non-Hermitian matrices, Lindbladians are classified in terms of non-Hermitian topological phases. We find out that the Lindbladian retains PT symmetry which is the prominent symmetry of open systems and then all the bulk modes can have a common lifetime. Moreover, when open boundary conditions are imposed on the system, the edge modes which break PT symmetry emerge, and one of the edge modes has a zero eigenvalue.

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