Subtle nuances between quantum and classical regimes

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.