Damping transition in an open generalized Aubry-André-Harper model

@article{He2022DampingTI,
  title={Damping transition in an open generalized Aubry-Andr{\'e}-Harper model},
  author={Peng He and Yu-Guo Liu and Jian-Te Wang and Shi-Liang Zhu},
  journal={Physical Review A},
  year={2022}
}
Peng He, 2 Yu-Guo Liu, 2 Jian-Te Wang, 2 and Shi-Liang Zhu 4, ∗ School of Physics, Nanjing University, Nanjing 210093, China National Laboratory of Solid State Microstructures, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China Guangdong-Hong Kong Joint… 
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References

SHOWING 1-10 OF 80 REFERENCES
Connecting topological Anderson and Mott insulators in disordered interacting fermionic systems
Guo-Qing Zhang, 2 Ling-Zhi Tang, Ling-Feng Zhang, Dan-Wei Zhang, 2, ∗ and Shi-Liang Zhu 2 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and…
Observation of the topological soliton state in the Su–Schrieffer–Heeger model
TLDR
The Su–Schrieffer–Heeger model, which captures the most striking transport properties of the conductive organic polymer trans-polyacetylene, provides perhaps the most basic model system supporting topological excitations, and quantum simulation of this model and observation of the localized topological soliton state are reported on.
Topological characterizations of an extended Su–Schrieffer–Heeger model
The Su–Schrieffer–Heeger (SSH) model perhaps is the easiest and the most basic model for topological excitations. Many variations and extensions of the SSH model have been proposed and explored to…
Topological zero-energy modes in gapless commensurate Aubry-André-Harper models.
TLDR
It is shown that the commensurate off-diagonal AAH model is topologically nontrivial in the gapless regime and supports zero-energy edge modes.
Information Restrain in Open Quantum Systems
Non-Hermitian skin effect of Liouvillian superoperators in quantum open systems can induce phenomena of non-trivial damping, known as chiral/helical damping. While non-Hermitian skin effect and…
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Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions in non-Hermitian…
Vortex pinning and non-Hermitian quantum mechanics
A delocalization phenomenon is studied in a class of non-Hermitian random quantum-mechanical problems. Delocalization arises in response to a sufficiently large constant imaginary vector potential.…
Topological phases in non-Hermitian Aubry-André-Harper models
Topological phases have recently witnessed a rapid progress in non-Hermitian systems. Here we study a one-dimensional non-Hermitian Aubry-Andre-Harper model with imaginary periodic or quasiperiodic…
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