2018/07/31 by Alvise Bastianello
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Hamiltonian (control theory) #Homogeneous #Impurity #Integrable system #Mathematical physics #Mathematics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Thermalisation #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1209/0295-5075/125/20001
published as EPL 125 (2) 20001 (2019) · 21 pages, 6 figures
openalex publication_date 2019/02/08 · arxiv created 2019/02/18 · arxiv updated 2019/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the effects of localized integrability-breaking perturbations on the large times dynamics of thermodynamic one-dimensional quantum and classical systems. In particular, we suddenly activate an impurity which breaks the integrability of an otherwise homogeneous system. We focus on the large times dynamics and on the thermalization properties of the impurity, which is shown to have mere perturbative effects even at infinite times, thus preventing thermalization. This is in clear contrast with homogeneous integrability-breaking terms, which display the prethermalization paradigm and are expected to eventually cause thermalization, no matter the weakness of the integrability-breaking term. Analytic quantitative results are obtained in the case in which the bulk Hamiltonian is free and the impurity interacting.