Dynamical response functions are standard tools for probing local physics near the equilibrium. They provide information about relaxation properties after the equilibrium state is weakly perturbed. In this paper we focus on systems which break the assumption of thermalization by exhibiting persistent temporal oscillations. We provide rigorous bounds on the Fourier components of dynamical response functions in terms of extensive or local dynamical symmetries, i.e. extensive or local operators with periodic time dependence. Additionally, we discuss the effects of spatially inhomogeneous dynamical symmetries. The bounds are explicitly implemented on the example of an interacting Floquet system, specifically in the integrable Trotterization of the Heisenberg XXZ model.
Cited by 3
Chinzei et al., Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
Phys. Rev. Lett. 125, 060601 (2020) [Crossref]
Buča et al., Rule 54: exactly solvable model of nonequilibrium statistical mechanics
J. Stat. Mech. 2021, 074001 (2021) [Crossref]
Miao, Conjectures on hidden Onsager algebra symmetries in interacting quantum lattice models
SciPost Phys. 11, 066 (2021) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 L'Institut de physique théorique [IPhT]
- 2 Univerza v Ljubljani / University of Ljubljana [UL]
- 3 Université Paris-Saclay / University of Paris-Saclay