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Area of Science:

  • Quantum physics
  • Many-body systems
  • Quantum chaos

Background:

  • Understanding the semiclassical limit is crucial for bridging quantum mechanics and classical physics.
  • Bosonic many-body systems in potentials exhibit diverse behaviors, from integrable to chaotic.
  • Previous work has explored quantum-classical correspondences in various physical systems.

Purpose of the Study:

  • To explore the semiclassical limit of an integrable-chaotic bosonic many-body quantum system.
  • To examine classical-quantum correspondences across different interaction regimes (integrable, self-trapping, chaotic).
  • To investigate the relationship between classical phase-space projections and quantum Wigner functions.

Main Methods:

  • Analysis of bosonic many-body system in a triple-well potential.
  • Comparison of classical trajectories' phase-space mean projections with quantum Husimi distributions.
  • Investigation across integrable, self-trapping, and chaotic interaction regimes.

Main Results:

  • A close resemblance was observed between phase-space mean projections of classical trajectories and Husimi distributions.
  • This resemblance supports the principle of uniform semiclassical condensation of Wigner functions of eigenstates.
  • Observed patterns in the results are reminiscent of Jason Gallas's 'shrimp' shapes.

Conclusions:

  • The study provides nuanced insights into the semiclassical behavior of integrable-chaotic bosonic systems.
  • Classical-quantum correspondences are evident across different interaction regimes.
  • The findings highlight a connection between classical dynamics and quantum state distributions in the semiclassical limit.