Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice

Abstract

Low dimensional quasiperiodic systems exhibit localization transitions by turning all quantum states localized after a critical quasidisorder. While certain systems with modified or constrained quasiperiodic potential undergo multiple localization transitions in one dimension, we predict an emergence of multiple localization transitions without directly imposing any constraints on the quasiperiodic potential. By considering a one-dimensional system described by the Aubry-Andŕe (AA) model, we show that an additional staggered onsite potential can drive the system through a series of localization transitions as a function of the staggered potential. Interestingly, we find that the number of localization transitions strongly depends on the strength of the quasiperiodic potential. Moreover, we obtain the signatures of these localization transitions in the expansion dynamics and propose an experimental scheme for their detection in the quantum gas experiment.

4 pages, 4 figures

References in corpus (5)

• Strongly Correlated Quantum Walks in Optical Lattices
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Anderson localization in Bose-Einstein condensates
• The Aubry-André model as the hobbyhorse for understanding localization phenomenon
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices

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• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Transition from metal to higher-order topological insulator driven by random flux
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• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• A numerical study of the localization transition of Aubry-André type models
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
• Reentrant localization transition induced by a composite potential
• Critical analysis of multiple reentrant localization in an antiferromagnetic helix with transverse electric field: Hopping dimerization-free scenario
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• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
• Mobility edges and fractal states in quasiperiodic Gross-Pitaevskii chains
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• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
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• Distinct reentrant transitions in a quasi-periodic Raman lattice
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals