Path integral approach to quantum thermodynamics of a vector field coupled to a moving environment
Department of Physics, Faculty of Science, Imam Khomeini International University, P.O.Box 34148-96818, Qazvin, Iran
Accepted: 27 September 2021
Published online: 16 November 2021
In this study, using the path integral formalism, the quantum thermodynamic properties of an open quantum system consisting of a vector field in the presence of a moving environment are investigated. The environment is modeled as a continuum of the Klein–Gordon field, and the environment velocity is added in the coupling tensor. Starting from a covariant Lagrangian and using functional integrals, series expansions of Green’s function are obtained. Series expansions for free energy in finite temperature are derived. Using Matsubara formalism, a new definition of the first law of thermodynamics, heat and work of the quantum system is defined.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021