Bardet, IvanCapel, AngelaGao, LiLucia, AngeloPérez García, DavidRouzé, Cambyse2023-06-222023-06-222022https://hdl.handle.net/20.500.14352/71934We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilibrium in a time which scales logarithmically with the system size. From a physical point of view, our result rigorously establishes the absence of dissipative phase transitions for Davies evolutions over translation-invariant spin chains. The result has also implications in the understanding of Symmetry Protected Topological phases for open quantum systems.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articleopen access51-73530.145531.19Quantum PhysicsStatistical MechanicsMathematical PhysicsFísica matemática