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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.

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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.