Non-Hermitian skin effect and generalized bulk-boundary correspondence
8.07.2019
| Date | 8.07.2019 |
|---|---|
| Time | 14:00 |
| Place |
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| Speaker | Zhong Wang |
| Area of expertise | Physics |
| Host | Dep. Physik |
| Contact | Zilberberg |
| Abstract | Non-Hermitian Hamiltonians can exhibit the unusual behavior that all the eigenstates are localized at the boundary, which is dubbed the non-Hermitian skin effect. In the first part, we show that the non-Hermitian skin effect establishes a generalized bulk-boundary correspondence, in which the bulk topological invariants are defined in a generalized Brillouin zone. These non-Bloch topological invariants faithfully predict the number of topological edge modes. In the second part, we show that the non-Hermitian skin effect has dramatic consequences in the dynamics of open quantum systems governed by the Lindblad master equation. Specifically, we show that the long-time damping behavior of an open quantum system can be drastically affected by the non-Hermitian skin effect. References: [1] Shunyu Yao, Zhong Wang, Edge states and topological invariants of non-Hermitian systems, Phys. Rev. Lett. 121, 086803 (2018) [2] Shunyu Yao, Fei Song, Zhong Wang, Non-Hermitian Chern bands, Phys. Rev. Lett. 121, 136802 (2018) [3] Fei Song, Shunyu Yao, Zhong Wang, Non-Hermitian skin effect and chiral damping in open quantum systems, arXiv:1904.08432 |