Rigorous bounds on dynamical response functions and time-translation symmetry breaking

Autor:	Medenjak, Marko, Prosen, Tomaz, Zadnik, Lenart
Rok vydání:	2020
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Strongly Correlated Electrons Quantum Physics
Zdroj:	SciPost Phys. 9, 003 (2020)
Druh dokumentu:	Working Paper
DOI:	10.21468/SciPostPhys.9.1.003
Popis:	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. Comment: 18 pages, 3 figures, slightly revised version with new references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.01035 Zobrazit plný text záznamu View this record from Arxiv