Thermalization in closed quantum systems: semiclassical approach

Abstract

Thermalization in closed quantum systems can be explained either by means of the eigenstate thermalization hypothesis or the concept of canonical typicality. Both concepts are based on quantum mechanical formalism such as spectral properties of the eigenstates or entanglement between subsystems respectively. Here we study the onset of thermalization of Bose particles in a two-band double well potential using the truncated Wigner approximation. This allows us to use the familiar classical formalism to explain quantum thermalization in this system. In particular, we demonstrate that sampling of an initial quantum state plays the role of a statistical mechanical ensemble, while subsequent chaotic classical evolution turns the initial quantum state into the thermal state.

4 pages, 10 figures, Accepted for publication in Physical Review A

References in corpus (7)

• Thermalization and its mechanism for generic isolated quantum systems
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Generalized Thermalization in an Integrable Lattice System
• Quantum Quenches in the Thermodynamic Limit
• Thermal equilibration between two quantum systems
• Chaos-driven dynamics in spin-orbit coupled atomic gases
• Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well

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• Relaxation dynamics of ultracold bosons in a double-well potential: Thermalization and prethermalization in a nearly integrable model
• Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases