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Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas
Colin Rylands1, Efim B Rozenbaum1, Victor Galitski1
1Joint Quantum Institute and Condensed Matter Theory Center, University of Maryland, College Park, Maryland 20742, USA.
Physical Review Letters
|May 2, 2020
Summary
Quantum dynamics in kicked rotor systems show surprising persistence. Even with interactions, dynamical localization in Bose gases lasts longer than expected, challenging previous theories.
Area of Science:
- Quantum physics
- Condensed matter physics
- Nonlinear dynamics
Background:
- The kicked rotor system demonstrates fundamental differences between classical and quantum mechanics.
- Classical particles exhibit linear energy growth, while quantum systems show energy saturation due to Anderson localization.
- Interactions in many-particle systems are expected to destroy quantum localization.
Purpose of the Study:
- To investigate the persistence of dynamical localization in interacting quantum systems.
- To challenge the conventional understanding of localization destruction in many-particle systems.
Main Methods:
- Theoretical analysis of the kicked rotor model.
- Simulation of an interacting one-dimensional Bose gas (Lieb-Liniger model).
Main Results:
- Evidence suggests that dynamical localization can persist for extended periods in interacting Bose gases.
- The Lieb-Liniger model exhibits robust localization despite inter-particle interactions.
Conclusions:
- Dynamical localization in quantum systems can be more resilient to interactions than previously thought.
- The findings challenge the universality of localization destruction in interacting many-body systems.
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