2019/09/30 by Friedemann Queißer, Friedemann Queisser, Sebastian J. Schreiber +3
Physics and Astronomy · #Boltzmann constant #Boltzmann distribution #Boltzmann equation #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Lattice (music) #Lattice Boltzmann methods #Non-equilibrium thermodynamics #Opinion Dynamics and Social Influence #Particle system #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physrevb.100.245110
published as Phys. Rev. B 100, 245110 (2019) · 15 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1812.08581
arxiv created 2019/12/05 · openalex publication_date 2019/12/05 · arxiv updated 2019/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by the recent interest in nonequilibrium phenomena in quantum many-body systems, we study strongly interacting fermions on a lattice by deriving and numerically solving quantum Boltzmann equations that describe their relaxation to thermodynamic equilibrium. The derivation is carried out by inspecting the hierarchy of correlations within the framework of the 1/Z expansion. Applying the Markov approximation, we obtain the dynamic equations for the distribution functions. Interestingly, we find that in the strong-coupling limit, collisions between particles and holes dominate over particle-particle and hole-hole collisions---in stark contrast to weakly interacting systems. As a consequence, our numerical simulations show that the relaxation timescales strongly depend on the type of excitations (particles or holes or both) that are initially present.