Quantum quench in the sine-Gordon model
Bruno BertiniThe Rudolf Peierls Centre for Theoretical Physics, Oxford University, Oxford OX1 3NP, UKDirk SchurichtInstitute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University , Leuvenlaan 4, 3584 CE Utrecht, The NetherlandsFabian H. L. EßlerThe Rudolf Peierls Centre for Theoretical Physics, Oxford University, Oxford OX1 3NP, UK
2014en
ABI
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 one-point 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.
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