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Open Quantum Systems Decoherence
Parametrized Version of the Generalized Aubry-André Model
arXiv
Authors: Moorad Alexanian
Year
2026
Paper ID
35715
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the generalized Aubry-Andre model. The resulting modified Aubry-Andre model allows for a simple parametrization of the solutions in terms of three parameters, viz., the system energy when the quasiperiodicity amplitude Delta = 0, the site mu where the particle is initially localized, and the tuning parameter -1 < alpha < 1 that determines the regions of localized or extended states. The standard Aubry-Andre form corresponds to alpha = 0.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2026 reference point for readers tracking recent quantum research.
- A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the generalized Aubry-Andre model.
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