Dynamics of thermalisation in small Hubbard-model systems
arXiv:1005.4863 · doi:10.1103/PhysRevLett.105.260402
Abstract
We study numerically the thermalisation and temporal evolution of the reduced density matrix for a two-site subsystem of a fermionic Hubbard model prepared far from equilibrium at a definite energy. Even for very small systems near quantum degeneracy, the subsystem can reach a steady state resembling equilibrium. This occurs for a non-perturbative coupling between the subsystem and the rest of the lattice where relaxation to equilibrium is Gaussian in time, in sharp contrast to perturbative results. We find similar results for random couplings, suggesting such behaviour is generic for small systems.
4 pages, 5 figures
References in corpus (19)
- Thermalization and its mechanism for generic isolated quantum systems
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
- Canonical Typicality
- Quantum mechanical evolution towards thermal equilibrium
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Typicality for Generalized Microcanonical Ensembles
- Thermal Fluctuations in Quantized Chaotic Systems
- Decoherence induced by interacting quantum spin baths
- Universal decoherence induced by an environmental quantum phase transition
- Non-Equilibrium Quantum Dissipation
- Typical state of an isolated quantum system with fixed energy and unrestricted participation of eigenstates
- Decoherence by a spin thermal bath: Role of the spin-spin interactions and initial state of the bath
- Decoherence by a spin thermal bath: Role of the spin-spin interactions
- Origin of the Canonical Ensemble: Thermalization with Decoherence
- Unitarity, ergodicity, and quantum thermodynamics
- Global and local relaxation of a spin-chain under exact Schroedinger and master-equation dynamics
Cited by in corpus (25)
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Eigenstate thermalization within isolated spin-chain systems
- Local quenches with global effects in interacting quantum systems
- Quench Dynamics of Isolated Many-Body Quantum Systems
- General Features of the Relaxation Dynamics of Interacting Quantum Systems
- Thermalization of a strongly interacting closed spin system: From coherent many-body dynamics to a Fokker-Planck equation
- Nonexponential fidelity decay in isolated interacting quantum systems
- Thermalisation of Local Observables in Small Hubbard Lattices
- Non-thermal statistics in isolated quantum spin clusters after a series of perturbations
- Dynamics of thermalization and decoherence of a nanoscale system
- Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model
- Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
- Out-of-equilibrium Correlated Systems : Bipartite Entanglement as a Probe of Thermalization
- Quantum Decoherence and Thermalization at Finite Temperature within the Canonical Thermal State Ensemble
- Quantum Decoherence at Finite Temperatures
- Onset of Fokker-Planck dynamics within a Closed Finite Spin System
- Quantum energy current and quantum coherence of a spin chain in a non-Markovian environment
- Stability of Quantum Statistical Ensembles with Respect to Local Measurements
- Tunneling of polarized fermions in 3D double wells
- Nonequilibrium dynamics of spin-orbit coupled lattice bosons
- Canonical density matrices from eigenstates of mixed systems
- Quantum Phase Transitions and Heat Capacity in a two-atoms Bose-Hubbard Model
- Assessing thermalization and estimating the Hamiltonian with output data only
- Quantum statistical ensemble for emissive correlated systems
- Quantum quenches with random matrix Hamiltonians and disordered potentials