Maurizio Fagotti (Author), Vanja Marić (Author), Lenart Zadnik (Author)

Abstract

We consider nonequilibrium time evolution in quantum spin chains after a global quench. Usually a nonequilibrium quantum many-body system locally relaxes to a (generalized) Gibbs ensemble built from conserved operators with quasilocal densities. Here we exhibit explicit examples of local Hamiltonians that possess conservation laws with densities that are not quasilocal but act as such in the symmetry-restricted space where time evolution occurs. Because of them, the stationary state emerging at infinite time can exhibit exceptional features. We focus on a specific example with a spin-flip symmetry, which is the commonest global symmetry encountered in spin-1/2 chains. Among the exceptional properties, we find that, at late times, the excess of entropy of a spin block triggered by a local perturbation in the initial state grows logarithmically with the subsystem's length. We establish a connection with symmetry-protected topological order in equilibrium at zero temperature and study the melting of the order induced either by a (symmetry-breaking) rotation of the initial state or by an increase of the temperature.

Keywords

statistična fizika;neravnovesna statistična mehanika;statistical physics;nonequilibrium statistical mechanics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536.9
COBISS: 188529667 Link will open in a new window
ISSN: 2469-9950
Views: 9
Downloads: 3
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Other data

Secondary language: Slovenian
Secondary keywords: statistična fizika;neravnovesna statistična mehanika;
Type (COBISS): Article
Pages: str. 115117-1-115117-37
Volume: ǂVol. ǂ109
Issue: ǂiss. ǂ11
Chronology: 2024
DOI: 10.1103/PhysRevB.109.115117
ID: 23126082