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DY: Fachverband Dynamik und Statistische Physik
DY 29: Many-body Quantum Dynamics
DY 29.9: Vortrag
Mittwoch, 3. April 2019, 12:00–12:15, H19
Fingerprints of level repulsion in the work statistics of a mesoscopic grain — •Izabella Lovas1,2 and Gergely Zarand1 — 1Budapest University of Technology and Economics, 1111 Budapest, Hungary — 2Technische Universitat Munchen, D-85748 Garching, Germany
We investigate the out-of-equilibrium dynamics of non-interacting fermions in a generic mesocopic disordered grain, by combining numerical results with analytical considerations. We focus on the distribution of work, performed during quenches in different -- orthogonal or unitary -- random matrix ensembles, for a Fermi sea initial state. We analyze how this work statistics reflects the structure of particle-hole excitations, in particular, the level statistics of the underlying matrix ensemble.
We demonstrate that the initial Fermi sea shows a diffusive broadening during the quench, with the quench-velocity dependent diffusion coefficient reflecting the different level repulsion in the two ensembles. Turning to the full distribution of work, we find clear fingerprints of the rigidity of energy levels in the probability density function for slow quenches. Remarkably, the most important features of the work statistics can be captured by a classical Markovian description, taking into account only nearest neighbor level transitions of the fermions. Our results could be experimentally accessible by calorimetric measurements in mesoscopic settings.