4.6 Article

Quantum quench in the sine-Gordon model

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2014/10/P10035

Keywords

correlation functions; form factors; integrable quantum field theory; quantum quenches

Funding

  1. Dutch Ministry of Education, Culture and Science (OCW)
  2. EPSRC [EP/I032487/1, EP/J014885/1]
  3. German Research Foundation (DFG) through Emmy-Noether Program [SCHU 2333/2-1]
  4. Engineering and Physical Sciences Research Council [EP/J014885/1, EP/I032487/1] Funding Source: researchfish
  5. EPSRC [EP/I032487/1, EP/J014885/1] Funding Source: UKRI

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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 (i beta Phi(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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