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Published on: December 4, 2017
Origin and Emergent Features of Many-Body Dynamical Localization
Ang Yang1, Zekai Chen2,3, Yanliang Guo2,4
1Zhejiang University, School of Physics and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Hangzhou 310027, China.
Interactions can break dynamical localization in quantum systems by introducing pseudorandomness and hybrid couplings. This study explains many-body localization in quantum gases and its implications for integrability.
Area of Science:
- Quantum physics
- Condensed matter theory
- Statistical mechanics
Background:
- Dynamical localization in quantum systems is a debated phenomenon.
- Understanding the role of interactions is crucial for quantum chaos and many-body localization.
Purpose of the Study:
- To investigate if interactions can break dynamical localization in quantum kicked rotor systems.
- To reveal universal features of quantum systems with interactions.
- To explain the origin of dynamical localization and interaction effects on integrability.
Main Methods:
- Extended mapping from the kicked Lieb-Liniger model to a high-dimensional lattice model.
- Analysis of universal features: on-site pseudorandomness and hybrid exponential-algebraic decay couplings.
- Examination of generalized fractal dimension and level-spacing ratio.
Main Results:
- Identified universal features including pseudorandomness and hybrid couplings.
- Observed a crossover in algebraic decay exponent and amplitude with increasing interaction strength.
- Found evidence of near integrability and multifractality in different parameter regimes.
Conclusions:
- The study provides an explanation for many-body dynamical localization, especially in strongly correlated quantum gases.
- The findings are expected to generalize to larger many-particle systems.
- The developed mapping offers insights into quantum chaos and integrability in interacting systems.
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