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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
Published on: March 30, 2017
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Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems.
1Department of Physics, Jiangsu University, Zhenjiang 212013, People's Republic of China.
Journal of Physics. Condensed Matter : an Institute of Physics Journal
|February 22, 2024
Summary
This review explores periodically driven non-Hermitian systems, focusing on the non-Hermitian skin effect and topology. It details non-Bloch band theory and generalized bulk-boundary correspondence for these dynamic quantum systems.
Area of Science:
- Quantum Physics
- Condensed Matter Physics
Background:
- Non-Hermitian systems exhibit unique phenomena like the non-Hermitian skin effect.
- Topology plays a crucial role in understanding the bulk-boundary correspondence in these systems.
Purpose of the Study:
- To provide a pedagogical review of periodically driven non-Hermitian systems.
- To explore the interplay between the non-Hermitian skin effect and topology.
- To establish generalized bulk-boundary correspondence in driven non-Hermitian systems.
Main Methods:
- Review of non-Bloch band theory for static and driven non-Hermitian systems.
- Definition of non-Bloch topological invariants on the generalized Brillouin zone.
- Analysis of real-space wave functions for characterizing topological phases.
Main Results:
- Established generalized bulk-boundary correspondence for harmonically driven and periodically quenched non-Hermitian systems.
- Characterized Floquet non-Hermitian topological phases using non-Bloch invariants.
- Reviewed novel phenomena in higher-dimensional driven systems, including Floquet topological phases and hybrid modes.
Conclusions:
- Periodically driven non-Hermitian systems exhibit rich topological phenomena.
- Non-Bloch band theory and generalized bulk-boundary correspondence are essential tools for their study.
- This review aims to stimulate further research in Floquet non-Hermitian topological physics.
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