Dephasing-induced mobility edges in quasicrystals

Abstract

Mobility edges (ME), separating Anderson-localized states from extended states, are known to arise in the single-particle energy spectrum of certain one-dimensional lattices with aperiodic order. Dephasing and decoherence effects are widely acknowledged to spoil Anderson localization and to enhance transport, suggesting that ME and localization are unlikely to be observable in the presence of dephasing. Here it is shown that, contrary to such a wisdom, ME can be created by pure dephasing effects in quasicrystals in which all states are delocalized under coherent dynamics. Since the lifetimes of localized states induced by dephasing effects can be extremely long, rather counter-intuitively decoherence can enhance localization of excitation in the lattice. The results are illustrated by considering photonic quantum walks in synthetic mesh lattices.

17 pages, 9 figures (main text + supplementary material), accepted for publication in the Physical Review Letters

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• The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
• Hidden self-duality and exact mobility edges in quasiperiodic network models
• Expedited thermalization dynamics in incommensurate systems
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
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• Defect-driven incoherent skin localization
• Experimental observation of exact quantum critical states
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