Strong thermalization of the two-component Bose-Hubbard model at finite temperatures

Abstract

We study thermalization of a two-component Bose-Hubbard model by exact diagonalization. Initially the two components do not interact and are each at equilibrium but with different temperatures. As the on-site inter-component interaction is turned on, perfect thermalization occurs. Remarkably, not merely those simple "realistic" physical observables thermalize but even the density matrix of the \textit{whole} system---the time-averaged density matrix of the system can be well approximated by that of a canonical ensemble. A conjecture about this fact is put forward.

The peer-reviewed version is significantly extended

References in corpus (11)

• Thermalization and its mechanism for generic isolated quantum systems
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Breakdown of thermalization in finite one-dimensional systems
• Foundation of Statistical Mechanics under experimentally realistic conditions
• The Luttinger model following a sudden interaction switch-on
• Strongly correlated fermions after a quantum quench
• Quantum chaos and thermalization in gapped systems
• Exact diagonalization: the Bose-Hubbard model as an example
• Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined
• Thermal equilibration between two quantum systems
• Quantum quench dynamics of the Bose-Hubbard model at finite temperatures

Cited by in corpus (9)

• Off-diagonal matrix elements of local operators in many-body quantum systems
• Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
• The Miscible-Immiscible Quantum Phase Transition in Coupled Two-Component Bose-Einstein Condensates in 1D Optical Lattices
• Macroscopically deterministic, Markovian thermalization in finite quantum spin systems
• Ubiquity of the quantum boomerang effect in Hermitian Anderson-localized systems
• Onset of Fokker-Planck dynamics within a Closed Finite Spin System
• Quantum droplet of a two-component Bose gas in an optical lattice near the Mott insulator transition
• Chiral Hall effect in the kink states in topological insulators with magnetic domain walls
• Mott Insulator-Superfluid Transition in a Generalized Bose-Hubbard Model with Topologically Non-trivial Flat-Band