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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