Theory of Universal Quantum Work in Metallic Grains

2019. 12. 02. 14:00
Building F, stairway III., seminar room of the Dept. of Theoretical Physics
András Grabarits (BME)

We investigate the statistics of work performed on generic disordered, non-interacting nanograins during quantum quenches. The time evolution of work statistics as well as the probability of adiabaticity are found to exhibit universal features, the latter decaying as a stretched exponential. In slowly driven systems, the most important features of work statistics are understood in terms of a diffusion of fermions in energy space, generated by Landau-Zener transitions, and are captured by a Markovian symmetrical exclusion process, with the diffusion constant identified as the absorption rate. The energy absorption is found to exhibit an anomalous frequency dependence at small energies, reflecting the symmetry class of the underlying Hamiltonian. Our predictions can be experimentally verified by calorimetric measurements performed on nanoscale circuits.