Singularities in large deviations of work in quantum quenches

Abstract

We investigate large deviations of the work performed in a quantum quench across two different phases separated by a quantum critical point, using as example the Dicke model quenched from its superradiant to its normal phase. We extract the distribution of the work from the Loschmidt amplitude and compute for both the corresponding large-deviation forms. Comparing these findings with the predictions of the classification scheme put forward in [Phys. Rev. Lett. 109, 250602 (2012)], we are able to identify a regime which is in fact distinct to the ones identified so far: here the rate function exhibits a non-analytical point which is a strong indication of the existence of an out-of-equilibrium phase transition in the rare fluctuations of the work.

arXiv comment4+3 pages, 2 figures

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Cited by in corpus (6)

• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Sampling rare events across dynamical phase transitions
• Quench action and large deviations: work statistics in the one-dimensional Bose gas
• Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
• The kinetic exclusion process: a tale of two fields
• The role of quantum work statistics in many-body physics