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Quantum Work Statistics in Chaotic Fermion Systems

Jun 29, 2023, 12:00 PM
Institut Pascal

Institut Pascal

Rue André Rivière 91400 Orsay


Gergely Zarand (Budapest University of Technology and Economics)


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.

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