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DY: Fachverband Dynamik und Statistische Physik

DY 9: Statistical Physics far from Thermal Equilibrium

DY 9.6: Vortrag

Montag, 12. März 2018, 11:15–11:30, BH-N 334

Singularity in large deviations of work in quantum quenches — •Pietro Rotondo, Jiri Minar, Igor Lesanovsky, Juan P. Garrahan, and Matteo Marcuzzi — University of Nottingham, School of Physics and Astronomy, University Park NG7 2RD

We investigate the large deviations of the work performed in a quantum quench across two different phases separated by a quantum critical point. We analyse the Dicke model as a paradigmatic example, and employ an approximate description, valid in each phase in the thermodynamic limit, which reduces it to a set of two harmonic oscillators. We identify large deviations forms for the corresponding Loschmidt amplitude and its conjugate functional, the distribution of the work. We then compare these findings with the predictions of a recently-proposed classification scheme put forward in [Phys. Rev. Lett. 109, 250602 (2012)]. For certain values of the parameters, we highlight a regime going beyond the ones listed in this classification. In these cases, the rate function exhibits a non-analytical point, a strong indication of the presence of an out-of-equilibrium phase transition in the functional describing the rare fluctuations of the work.