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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Many-body systems

Background:

  • The Lieb-Liniger model describes interacting one-dimensional bosons.
  • Periodic driving can induce novel quantum phenomena.
  • Understanding localization and phase transitions in driven systems is crucial.

Purpose of the Study:

  • To investigate the effects of periodic kicks on the Lieb-Liniger model.
  • To identify conditions for phase transitions in driven one-dimensional boson systems.
  • To explore the universality class of observed transitions.

Main Methods:

  • Theoretical analysis using the Bethe ansatz solution for the Lieb-Liniger gas.
  • Numerical simulations for systems with three particles.
  • Finite-time scaling analysis to characterize the transition.

Main Results:

  • Dynamical localization occurs in noninteracting and strongly interacting limits.
  • An interaction-driven transition from insulating to metallic phase is observed for finite interactions (N>=3).
  • A formal correspondence between the driven Lieb-Liniger model and an N-dimensional Anderson model is established.

Conclusions:

  • The study reveals a novel interaction-driven phase transition in periodically kicked one-dimensional bosons.
  • The transition is shown to belong to the orthogonal Anderson universality class.
  • The findings provide insights into quantum dynamics and localization in driven many-body systems.