Work statistics, quantum signatures, and enhanced work extraction in quadratic fermionic models

Year: 2023

Authors: Santini A.; Solfanelli A.; Gherardini S.; Collura M.

Autors Affiliation: SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Via Bonomea 265, I-34136 Trieste, Italy; Italian Inst Technol, Ctr Life Ctr Life Nanoneuro Sci La Sapienza, I-00161 Rome, Italy; CNR INO, Area Sci Pk, I-34149 Trieste, Italy; Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy.

Abstract: In quadratic fermionic models, we determine a quantum correction to the work statistics after both a sudden quench and a time-dependent driving. Such a correction lies in the noncommutativity 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 nonclassical 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 nonclassical behaviors 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 nonclassical regimes where the noncommutativity takes a role.

Journal/Review: PHYSICAL REVIEW B

Volume: 108 (10)      Pages from: 104308  to:

More Information: This paper was supported by the European Commission´s Horizon Europe Framework Programme under the Research and Innovation Action GA No. 101070546-MUQUABIS (S.G.) and PNRR MUR Project No. PE0000023-NQSTI (M.C. and S.G.).
KeyWords: Work statistics, Quantum signatures, Enhanced work extraction, Quadratic fermionic models, Transverse-field Ising model
DOI: 10.1103/PhysRevB.108.104308

Citations: 6
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