Quantum quench in the sine-Gordon model

Abstract

We consider the time evolution in the repulsive sine-Gordon quantum field theory after the system is prepared in a particular class of initial states. We focus on the time dependence of the onepoint function of the semi-local operator exp iβΦ(x)/2 . By using two different methods based on form-factor expansions, we show that this expectation value decays to zero exponentially, and we determine the decay rate by analytical means. Our methods generalize to other correlation functions and integrable models.

Time evolution during and after finite-time quantum quenches in Luttinger liquids

“…[90][91][92] Furthermore, our results for periodic quenches could be used to connect the field of quantum quenches to periodically driven systems since the latter can be treated by increasing the number of periods ν in (45) In this appendix we obtain the solution of (22) at small momenta. To this end we expand the solutions in powers of q/q c , u(q, t) = ∞ m=0 u (m) (t) (q/q c ) m and v(q, t) = ∞ m=0 v (m) (t) (q/q c ) m .…”

Experimental characterization of a quantum many-body system via higher-order correlations

“…For theoretical studies of the sine-Gordon model see e.g. [9,36]. The parameters applying to our experiment correspond to the weakly interacting regime, K 1, typically K = 63 .…”

Non-equilibrium dynamics of isolated quantum systems

“…This issue has been considered already in a few manuscripts appeared in the last months [69][70][71][72][73], but a conclusive answer has not yet been provided. The most probable scenario concerns the presence of additional charges which are not yet explicitly known and that do not appear in the standard GGE construction [55].…”