Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 34, Issue 17, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-648X/ac53da
Keywords
topological insulators; bosonic excitations; Lindblad equation; non-Hermitian physics
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Funding
- Natural Science Foundation of China [11874272]
- Science Specialty Program of Sichuan University [2020SCUNL210]
- National Science Foundation [PHY-2011360]
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This article analyzes the topological classifications of quadratic bosonic systems based on the symmetries of the dynamic matrices and the effective Hamiltonians from the Lindblad equations of open systems. It is found that the system-reservoir coupling can lead to different classifications.
The topological classifications of quadratic bosonic systems according to the symmetries of the dynamic matrices from the equations of motion of closed systems and the effective Hamiltonians from the Lindblad equations of open systems are analyzed. While the non-Hermitian dynamic matrix and effective Hamiltonian both lead to a ten-fold way table, the system-reservoir coupling may cause a system with or without coupling to a reservoir to fall into different classes. A 2D Chern insulator is shown to be insensitive to the different classifications. In contrast, we present a 1D bosonic Su-Schrieffer-Heeger model with chiral symmetry and a 2D bosonic topological insulator with time-reversal symmetry to show the corresponding open systems may fall into different classes if the Lindblad operators break the symmetry.
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