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Rigorous bounds on dynamical response functions and time-translation symmetry breaking
by Marko Medenjak, Tomaz Prosen, Lenart Zadnik
- Published as SciPost Phys. 9, 003 (2020)
|As Contributors:||Marko Medenjak · Lenart Zadnik|
|Arxiv Link:||https://arxiv.org/abs/2003.01035v2 (pdf)|
|Submitted by:||Medenjak, Marko|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
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.
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Published as SciPost Phys. 9, 003 (2020)