2023/07/10 by Sandipan Mohanta, Mohanta, Sandipan, Bijay Kumar Agarwalla +1
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #Thermal Radiation and Cooling Technologies
paper · pdf · doi:10.48550/arxiv.2307.04348
openalex publication_date 2023/07/10 · openalex created_date 2023/07/12 · openalex updated_date 2026/07/28
We consider a generic four-stroke quantum Otto engine consisting of two unitary and two thermalization strokes with an arbitrary many-body working medium. Using the Schwinger-Keldysh non-equilibrium Green's function formalism, we provide an analytical expression for the cumulant generating function corresponding to the joint probability distribution of non-equilibrium work and heat. The obtained result is valid up to the second order of the external driving amplitude. We then focus on the linear response limit and obtain Onsager's transport coefficients for the generic Otto cycle and showed that the traditional fluctuation-dissipation relation for the total work is violated in the quantum domain, whereas for heat it is preserved. This leads to remarkable consequences in obtaining universal constraints on heat and work fluctuations for engine and refrigerator regimes of the Otto cycle and further allows us to make connections to the thermodynamic uncertainty relations. These findings are illustrated using a paradigmatic model that can be feasibly implemented in experiments.