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Summary
This summary is machine-generated.

Quantum dynamical localization, where quantum interference halts wave packet diffusion, is linked to transport time exceeding Heisenberg time. This study uses spectral fluctuations to determine transport time, offering a new quantum dynamics approach.

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Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Quantum chaos

Background:

  • Quantum dynamical localization describes the cessation of wave packet diffusion in momentum space due to quantum interference.
  • Transport time, crucial for localization, is traditionally derived from classical dynamics.

Purpose of the Study:

  • To introduce an alternative method for determining transport time by analyzing spectral fluctuations.
  • To investigate the relationship between spectral properties and quantum dynamical localization.

Main Methods:

  • Calculating large energy spectra and spectral form factors for stadium billiards.
  • Analyzing spectral fluctuations and the transition from non-universal to universal regimes in the spectral form factor.
  • Correlating transport times derived from spectral data with level repulsion exponents.

Main Results:

  • The spectral form factor's transition point reveals the transport time.
  • Transport time exhibits a dependence on system parameters.
  • Level repulsion exponents, indicators of dynamical localization, show a linear relationship with the derived transport times.

Conclusions:

  • Spectral fluctuations provide a robust method for quantifying transport time in quantum systems.
  • The findings establish a direct link between spectral properties and the phenomenon of quantum dynamical localization.
  • This spectral approach offers new insights into the dynamics of quantum systems transitioning between localized and extended regimes.