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

Medenjak, Marko; Prosen, Tomaž; Zadnik, Lenart

doi:10.21468/SciPostPhys.9.1.003

SciPost Physics

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

Marko Medenjak, Tomaz Prosen, Lenart Zadnik

SciPost Phys. 9, 003 (2020) · published 7 July 2020

doi: 10.21468/SciPostPhys.9.1.003
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.9.1.003
TI  - Rigorous bounds on dynamical response functions and time-translation symmetry breaking
PY  - 2020/07/07
UR  - https://scipost.org/SciPostPhys.9.1.003
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 9
IS  - 1
SP  - 003
A1  - Medenjak, Marko
AU  - Prosen, Tomaž
AU  - Zadnik, Lenart
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.9.1.003,
	title={{Rigorous bounds on dynamical response functions and time-translation symmetry breaking}},
	author={Marko Medenjak and Tomaz Prosen and Lenart Zadnik},
	journal={SciPost Phys.},
	volume={9},
	pages={003},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.9.1.003},
	url={https://scipost.org/10.21468/SciPostPhys.9.1.003},
}

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Ontology / Topics

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Heisenberg model Periodically-driven (Floquet) systems Symmetry breaking XXZ model

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