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PT Symmetric Aubry-Andre Model
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PT symmetric Aubry-Andre model describes an array of N coupled optical waveguides with position dependent gain and loss. We show that the reality of the spectrum depends sensitively on the degree of disorder for small number of lattice sites. We obtain the Hofstadter Butterfly spectrum and discuss the existence of the phase transition from extended to localized states. We show that rapidly changing periodical gain/loss materials almost conserves the total intensity.
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Cited by 2 Pith papers
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Mobility edges in pseudo-unitary quasiperiodic quantum walks
A pseudo-unitary quasiperiodic quantum walk model exhibits a novel mobility edge sharply dividing metallic and insulating phases plus a second transition unique to discrete time, with PT-symmetry breaking quantified b...
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Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models
A single-photon quantum-walk experiment realizes the unitary almost-Mathieu operator and observes metal-insulator, parity-time symmetry-breaking, and all-imaginary-quasienergy spectral transitions.
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