Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals

Zhou, Longwen

doi:10.48550/arxiv.2106.07149

Cited by 2 publications

(2 citation statements)

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“…One * Electronic address: slzhu@nju.edu.cn line of work is the characterization and classification of matter phase in terms of disorder [16,40,41]. Other topics concern cooperation with coherent control techniques [42]. Disorder, or quasiperiodicity leads to exotic behaviors, including localization-delocalization transition under the PT symmetry breaking [43][44][45], generalized mobility edges [34] and anomalous particle transport [33], among which the non-Hermitian Aubry-André-Harper (AAH) model provides as a paradigmatic example.…”

Section: Introductionmentioning

confidence: 99%

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

He,

Liu,

Wang

et al. 2021

Preprint

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We study the damping dynamics of the single-particle correlation for an open system under aperiodic order, which is dominated by Lindblad master equation. In the absence of the aperiodic order, the Liouvillian superoperator can exhibit the non-Hermitian skin effect, which leads to unidirectional damping dynamics, dubbed as "chiral damping". Due to the non-Hermitian skin effect, the damping dynamics is boundary sensitive: the long-time damping of such open systems is algebraic under periodic boundary conditions but exponential under open boundary conditions. We reveal a dynamical phase transition with the inclusion of the hopping amplitude modulation. This phase transition is related with emergent non-Bloch anti-PT symmetry breaking, which only occurs under the open boundary condition. When the anti-PT symmetry is broken, the localization property of this system also changes, entering another type with different scaling rules. Furthermore, we propose a possible scheme with ultracold atoms in dissipative momentum lattice to realize and detect the damping dynamics.

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Section: Introductionmentioning

confidence: 99%

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

He,

Liu,

Wang

et al. 2021

Preprint

View full text Add to dashboard Cite

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“…Typical systems considered in the study of 1D NHQCs include various extensions of the Aubry-André-Harper [34][35][36][37][38], Fibonacci [50], Su-Schrieffer-Heeger [54], Kitaev chain [57] and Maryland [58] models. Localization and topological transitions induced by time-periodic driving fields have also been investigated in the context of Floquet NHQCs [59].…”

Section: Introductionmentioning

confidence: 99%

Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model

Zhou,

2021

Preprint

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Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and quantum chaos by introducing asymmetry to its hopping amplitudes. The resulting nonreciprocal Maryland model is found to possess a real-to-complex spectrum transition at a finite amount of hopping asymmetry, through which it changes from a localized phase to a mobility edge phase. Explicit expressions of the complex energy dispersions, phase boundaries and mobility edges are found. A topological winding number is further introduced to characterize the transition between different phases. Our work introduces a unique type of non-Hermitian quasicrystal, which admits exactly obtainable phase diagrams, mobility edges, and holding no extended phases at finite nonreciprocity in thermodynamic limit.

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Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals

Cited by 2 publications

References 64 publications

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

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

Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model

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