Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model*

The Sine-Gordon model is ubiquitous in low-dimensional physics, with applications that range from cold atom and strongly correlated systems to quantum impurities. In this talk we present a study of its non-equilibrium dynamics using the quantum quench protocol. By means of the Bethe Ansatz we calculate exactly the Loschmidt amplitude, the fidelity and work distribution characterizing the quench for different values of the interaction strength. Some universal features are noted as well as an interesting duality relating quenches in different parameter regimes of the model.