2006/06/19 by M. A. Cazalilla, Miguel A. Cazalilla · 13 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Opinion Dynamics and Social Influence #Quantum many-body systems #cond-mat.mes-hall #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.97.156403
published as Phys. Rev. Lett. 97, 156403 (2006) · 4.3 pages. Typos corrected, added references
arxiv created 2006/06/19 · openalex publication_date 2006/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The evolution of correlations in the exactly solvable Luttinger model (a model of interacting fermions in one dimension) after a suddenly switched-on interaction is analytically studied. When the model is defined on a finite-size ring, zero-temperature correlations are periodic in time. However, in the thermodynamic limit, the system relaxes algebraically towards a stationary state which is well described, at least for some simple correlation functions, by the generalized Gibbs ensemble recently introduced by Rigol et al. (cond-mat/0604476). The critical exponent that characterizes the decay of the one-particle correlation function is different from the known equilibrium exponents. Experiments for which these results can be relevant are also discussed.