Orateur
Description
We study the full distribution of quantum work in driven chaotic fermion
systems by using a random matrix approach. We find that work statistics is generically non-Gaussian.
At longer times, quantum work distribution is well-described in terms of a simple
ladder model and a symmetric exclusion process in energy space,
and bosonization and mean field methods provide accurate analytical expressions for the work statistics.
At finite temperatures, a cross-over between diffusive and superdiffusive work statistics is found.
The probability of adiabatic evolution crosses over from an exponential to a stretched
exponential behavior. Our findings can be verified by measurements on nanoscale circuits
and via single qubit interferometry, and have important implications for adiabatic
quantum optimization.
