Squeezing generation crossing a mean-field critical point: work statistics, irreversibility, and critical fingerprints
Year: 2025
Authors: Gumez-Ruiz F.J., Gherardini S., Puebla R.
Autors Affiliation: Univ Carlos III Madrid, Dept Fis, Avda Univ 30, Leganes 28911, Spain; Univ Valladolid, Dept Fis Teor Atom & Opt, Valladolid 47011, Spain; Univ Valladolid, Lab Disrupt Interdisciplinary Sci, Valladolid 47011, Spain; Ist Nazl Ott Consiglio Nazl Ric CNR INO, Largo Enr Fermi 6, I-50125 Florence, Italy; Univ Firenze, European Lab Nonlinear Spect, I-50019 Sesto Fiorentino, Italy.
Abstract: Understanding the dynamical consequences of quantum phase transitions on thermodynamical quantities, such as work statistics and entropy production, is one of the most intriguing aspect of quantum many-body systems, pinpointing the emergence of irreversibility to critical features. In this work, we investigate the critical fingerprints appearing in these key thermodynamical quantities for a mean-field critical system undergoing a finite-time cycle, starting from a thermal state at a generic inverse temperature. In contrast to non-zero dimensional many-body systems, the presence of a mean-field critical point in a finite-time cycle leads to constant irreversible work even in the limit of infinitely slow driving. This links with the fact that a slow finite-time cycle results in a constant amount of squeezing, which enables us to derive analytical expressions for the work statistics and irreversible entropy, depending solely on the mean-field critical exponents and the functional form of the control parameter near the critical point. We find that the probability of observing negative work values, corresponding to negative irreversible entropy, is inversely proportional to the time the system remains near to the critical point, and this trend becomes less pronounced the lower the temperature of the initial thermal state. Finally, we determine the irreversibility traits under squeezing generation at zero-temperature using the relative entropy of coherence.
Journal/Review: QUANTUM SCIENCE AND TECHNOLOGY
Volume: 10 (4) Pages from: 45011-1 to: 45011-15
More Information: F J G-R gratefully acknowledges financial support from the Spanish MCIN, with funding from the European Union Next Generation EU (PRTRC17.I1), as well as from the Consejeria de Educacion, Junta de Castilla y Leon, through the QCAYLE project. Additional support from the Department of Education, Junta de Castilla y Leon, and FEDER funds (CLU-2023-1-05) is also ack nowledged. S G acknowledges financial support from the PRIN project 2022FEXLYB Quantum Reservoir Computing (QuReCo), and the PNRR MUR project PE0000023-NQSTI funded by the European Union-Next Generation EU. R P acknowledges the Ramon y Cajal (RYC2023-044095-I) research fellowship and project TSI-069100-2023-8 (Perte Chip-NextGenerationEU).KeyWords: quantum phase transitions; work statistics; entropyDOI: 10.1088/2058-9565/adf5de
