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Quantum dynamical localization in Hamiltonian systems is broken by classical drift, allowing quantum wave packets to explore more of the Arnold web. This drift-induced delocalization is a universal transition.

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Area of Science:

  • Quantum dynamics
  • Classical and quantum chaos
  • Statistical mechanics

Background:

  • Quantum dynamical localization is a phenomenon observed in chaotic Hamiltonian systems.
  • The Arnold web describes the complex structure of phase space in higher-dimensional systems.

Purpose of the Study:

  • To investigate the effect of intrinsic classical drift on quantum dynamical localization.
  • To determine if classical drift can destroy quantum localization in higher-dimensional Hamiltonian systems.

Main Methods:

  • Numerical simulations using a time-periodically kicked Hamiltonian.
  • Analysis of a four-dimensional phase space.

Main Results:

  • Intrinsic classical drift destroys quantum dynamical localization.
  • Wave packets and eigenstates can explore more of the Arnold web than previously thought.
  • The delocalization transition is universal and characterized by a single parameter.

Conclusions:

  • Classical drift is a crucial factor in understanding quantum dynamics in complex systems.
  • The universality of the delocalization transition suggests broader applicability.