Topological invariance and global Berry phase in non-Hermitian systems
By Shi-Dong Liang, Guang-Yao Huang. 2013
187 citations recorded by the source corpus.
By studying the topological invariance and Berry phase in non-Hermitian systems, we reveal the basic properties of the complex Berry phase and generalize the global Berry phases $Q$ to identify the topological invariance for non-Hermitian systems. We find that $Q$ can identify topological invariance in two kinds of non-Hermitian model, the two-level non-Hermitian Hamiltonian and the bipartite dissipative model. For the bipartite dissipative model, an abrupt change of the Berry phase in the parameter space reveals a quantum phase transition and is related to the exceptional points. These results give the basic relationships between the Berry phase and the quantum and topological phase transitions of non-Hermitian systems.
Subfields: Atomic and Molecular Physics, and Optics, Organic Chemistry
View Paper: https://www.semanticscholar.org/paper/5555ffdbd3f92f16f14f2a6574261e1dfea420c0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Anomalous helical edge states in a non-Hermitian Chern insulator (2018, unknown): “and hence the (first) Chern number as [43, 60]”
- Symmetry and Topology in Non-Hermitian Physics (2018, unknown): “[104] S.”
- Edge States and Topological Invariants of Non-Hermitian Systems. (2018, unknown): “[57] Shi-Dong Liang and Guang-Yao Huang, “Topological invariance and global berry phase in non-hermitian systems,” Phys.”
- Geometry of quantum phase transitions (2019, background): “The critical properties of the geometric phase has also been studied in few-body systems interacting with critical chains [66, 67, 78, 87, 92, 100, 97], in non-Hermitian critical systems [88, 86], in connection to dynamical phase transitions [95, 104], in the characterisation of topological phase tr”