2015/08/20 by Hiroki Majima, Akira Suzuki
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1007/s10701-015-9908-3
published as Found. Phys. 45, 914 (2015) · 5 pages. Accepted in Foundations of Physics (close to accepted version). arXiv admin note: text overlap with arXiv:1103.4775, arXiv:1203.0485 by other authors
arxiv created 2015/08/20 · arxiv updated 2015/08/21
A general relation between entropy and an evolutionary superoperator is derived based on the theory of the real-time formulation. The formulation establishing the relation relies only on the framework of quantum statistical mechanics and the standard definition of the von Neumann entropy. Applying the theory of the imaginary-time formulation, a similar relation is obtained for the entropy change due to the change in reservoir temperatures. To show the usefulness of these formulas, we derived the expression for the entropy production induced by some dissipation in an open quantum system as the exemplary model system.