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Dephasing-Induced Mobility Edges in Quasicrystals.

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Mobility edges (ME), which separate localized and extended states, can surprisingly emerge from dephasing in quasicrystals. This research demonstrates that decoherence can unexpectedly enhance excitation localization in lattices.

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Area of Science:

  • Condensed matter physics
  • Quantum dynamics
  • Topological phenomena

Background:

  • Mobility edges (ME) typically arise in disordered systems, separating localized and extended states.
  • Anderson localization is generally suppressed by dephasing and decoherence, enhancing particle transport.
  • Quasicrystals with aperiodic order are known to exhibit ME under coherent dynamics.

Purpose of the Study:

  • To investigate the counterintuitive emergence of mobility edges due to dephasing.
  • To explore the role of decoherence in Anderson localization phenomena.
  • To demonstrate ME creation in systems where all states are delocalized under coherent dynamics.

Main Methods:

  • Theoretical analysis of quantum walks in synthetic mesh lattices.
  • Modeling dephasing and decoherence effects on lattice dynamics.
  • Investigating the single-particle energy spectrum and state localization.

Main Results:

  • Mobility edges are shown to be created by pure dephasing effects in quasicrystals.
  • Contrary to conventional understanding, dephasing can induce localization where coherent dynamics lead to delocalization.
  • Localized states induced by dephasing exhibit potentially long lifetimes, enhancing localization.

Conclusions:

  • Dephasing can act as a mechanism for creating mobility edges and enhancing localization.
  • Decoherence, often considered a suppressor of localization, can paradoxically lead to enhanced localization in specific systems.
  • Photonic quantum walks in synthetic mesh lattices serve as a model system to illustrate these findings.