Interaction Quench in the Hubbard Model

2008/02/29 by Michael Moeckel, M. Moeckel, Stefan Kehrein +1 · 29 citations
Physics and Astronomy · #Boltzmann equation #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Distribution function #Fermi Gamma-ray Space Telescope #Fermi liquid theory #Hubbard model #Momentum (technical analysis) #Non-equilibrium thermodynamics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Quasiparticle #Thermalisation #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.100.175702

published as Phys. Rev. Lett. 100, 175702 (2008) · Final version as published

openalex publication_date 2008/05/02 · arxiv created 2008/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium dynamics of interacting quantum many-body systems, we investigate the opposite limit of Landau's Fermi-liquid paradigm: We study a Hubbard model with a sudden interaction quench, that is, the interaction is switched on at time t=0. Using the flow equation method, we are able to study the real time dynamics for weak interaction U in a systematic expansion and find three clearly separated time regimes: (i) An initial buildup of correlations where the quasiparticles are formed. (ii) An intermediate quasi-steady regime resembling a zero temperature Fermi liquid with a nonequilibrium quasiparticle distribution function. (iii) The long-time limit described by a quantum Boltzmann equation leading to thermalization of the momentum distribution function with a temperature T proportional, variantU.

Citations

• Effect of Suddenly Turning on Interactions in the Luttinger Model
• Quantum field-theoretical methods in transport theory of metals
• Flow‐equations for Hamiltonians

Cited by

• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Relaxation Theory for Perturbed Many-Body Quantum Systems versus Numerics and Experiment
• Efficiency of fermionic quantum distillation
• Building ground states of the Hubbard model by time-ordered bound-pair injection
• Prethermal Strong Zero Modes and Topological Qubits
• Probing thermalization in quenched integrable and nonintegrable Fermi-Hubbard models
• Dynamical dimerization phase in Jaynes–Cummings lattices
• Dissipative flow equations
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• System size scaling of topological defect creation in a second-order dynamical quantum phase transition
• Test of quantum thermalization in the two-dimensional transverse-field Ising model
• Finite-size effects in global quantum quenches: Examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model
• Prethermalization in a quenched one-dimensional quantum fluid of light
• Nonthermal Melting of Néel Order in the Hubbard Model
• Nonequilibrium characterization of equilibrium correlated quantum phases
• Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
• Typical fast thermalization processes in closed many-body systems
• Prethermalization of density-density correlations after an interaction quench in the Hubbard model
• Postquench prethermalization in a disordered quantum fluid of light
• Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
• Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
• Lack of thermalization for integrability-breaking impurities
• Universal Postquench Prethermalization at a Quantum Critical Point
• Quantum quenches in 1 + 1 dimensional conformal field theories
• Non-equilibrium scaling analysis of the Kondo model with voltage bias
• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• Quench field sensitivity of two-particle correlation in a Hubbard model
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model
• Equilibration and GGE in interacting-to-free quantum quenches in dimensions d\gt 1