Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models
Abstract
In quadratic fermionic models we determine a quantum correction to the work statistics after a sudden and a time-dependent driving. Such a correction lies in the non-commutativity of the initial quantum state and the time-dependent Hamiltonian, and is revealed via the Kirkwood-Dirac quasiprobability (KDQ) approach to two-times correlators. Thanks to the latter, one can assess the onset of non-classical signatures in the KDQ distribution of work, in the form of negative and complex values that no classical theory can reveal. By applying these concepts on the one-dimensional transverse-field Ising model, we relate non-classical behaviours of the KDQ statistics of work in correspondence of the critical points of the model. Finally, we also prove the enhancement of the extracted work in non-classical regimes where the non-commutativity takes a role.
Cite
@article{arxiv.2302.13759,
title = {Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models},
author = {Alessandro Santini and Andrea Solfanelli and Stefano Gherardini and Mario Collura},
journal= {arXiv preprint arXiv:2302.13759},
year = {2023}
}