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Drive-induced delocalization in the Aubry-André model.
1Indian Institute of Science Education and Research-Kolkata, Mohanpur, Nadia-741246, India.
Physical Review. E
|February 17, 2018
Summary
Periodic drives can induce particle delocalization in the Aubry-André (AA) model, leading to chaos. This study explores drive-induced delocalization and thermalization, revealing a threshold amplitude and unusual frequency dependence for delocalization.
Area of Science:
- Condensed Matter Physics
- Quantum Dynamics
- Statistical Mechanics
Background:
- The Aubry-André (AA) model describes Anderson localization in disordered systems.
- Periodic driving (Floquet engineering) offers new pathways to control quantum phenomena.
- Recent experiments probe single-particle dynamics under external drives.
Purpose of the Study:
- Investigate single-particle delocalization in the driven AA model.
- Understand the role of periodic drives in inducing delocalization and chaos.
- Explore the impact of different driving protocols on quantum dynamics.
Main Methods:
- Constructing equivalent classical descriptions for driven quantum systems.
- Analyzing time-modulated potentials and phase modulations via gauge fields.
- Investigating delocalization, thermalization, and spectral properties.
- Examining the influence of interactions.
Main Results:
- Drive-induced delocalization arises from classical instability and chaos.
- A threshold amplitude for driving is identified for delocalization and thermalization.
- Periodic phase modulation leads to nonmonotonic frequency dependence of delocalization.
- A delocalized Floquet band with a mobility edge and multifractality emerges.
Conclusions:
- Periodic drives offer a route to control localization-delocalization transitions.
- The study provides a framework for understanding drive-induced chaos and delocalization.
- Results offer insights for experimental verification and potential applications in quantum control.
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