Quantum quench dynamics of the sine-Gordon model in some solvable limits

• Autores: Iucci, Aníbal; Cazalilla, M. A.
• Año de publicación: 2010
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Ciencias Exactas; Gibbs ensemble; Sine Gordon model; Thermalization
• Institución: Universidad Nacional de La Plata

With regard to the thermalization problem in isolated quantum systems, we investigate the dynamics following a quantum quench of the sineGordon model (sGM) in the Luther-Emery and the semiclassical limits. We consider the quench from the gapped to the gapless phase, as well as the reverse one. By obtaining analytic expressions for the one- and two-point correlation functions of the order parameter operator at zero-temperature, the manifestations of integrability in the absence of thermalization in the sGM are studied. It is shown that correlations in the long-time regime after the quench are well described by a generalized Gibbs ensemble. We also consider the case where the system is initially in contact with a reservoir at finite temperature. The possible relevance of our results to current and future experiments with ultracold atomic systems is also considered.
Instituto de Física La Plata