Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems
arXiv:1210.2607 · doi:10.1103/PhysRevLett.110.050401
Abstract
We explore a minimal paradigm for thermalization, consisting of two weakly-coupled, low dimensional, non-integrable subsystems. As demonstrated for Bose-Hubbard trimers, chaotic ergodicity results in a diffusive response of each subsystem, insensitive to the details of the drive exerted on it by the other. This supports the hypothesis that thermalization can be described by a Fokker Plank equation. We also observe, however, that Levy-flight type anomalies may arise in mesoscopic systems, due to the wide range of time scales that characterize `sticky' dynamics.
7 pages, 6 figures, proofed version including the supplementary material
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
- Some remarks on the coherent-state variational approach to nonlinear boson models
- Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model
- Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap
- Non-equilibrium steady state of sparse systems
- Energy absorption by "sparse" systems: beyond linear response theory
Cited by in corpus (8)
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Macroscopically deterministic, Markovian thermalization in finite quantum spin systems
- Quantum thermalization via percolation
- Chaotic dynamics in a quantum Fermi-Pasta-Ulam problem
- Many-body adiabatic passage: Quantum detours around chaos
- Coherence oscillations between weakly coupled Bose-Hubbard dimers
- Stiffness of Probability Distributions of Work and Jarzynski Relation for Initial Microcanonical and Energy Eigenstates
- Chaos and bi-partite entanglement between Bose-Joephson junctions