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Topological Quantum Computing
Quantum Simulation
Anderson localization transition in a robust mathcal{PT}-symmetric phase of a generalized Aubry-Andre model
arXiv
Authors: Sebastian Schiffer, Xia-Ji Liu, Hui Hu, Jia Wang
Year
2020
Paper ID
19844
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
We study a generalized Aubry-Andre model that obeys mathcal{PT}-symmetry. We observe a robust mathcal{PT}-symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being non-hermitian. This robust mathcal{PT}-symmetric phase can support an Anderson localization transition, giving a rich phase diagram as a result of the interplay between disorder and mathcal{PT}-symmetry. Our model provides a perfect platform to study disorder-driven localization phenomena in a mathcal{PT}-symmetric system.
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- We study a generalized Aubry-Andre model that obeys mathcalPT-symmetry.
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