Entropy Production in Quantum Spin Systems

Tristan Benoist, Laurent Bruneau, Vojkan Jakšić +2 more

We provide a justification, via the thermodynamic limit, of the modular formula for entropy production in two-time measurement proposed in [T. Benoist, L. Bruneau, V. Jakšić, A. Panati and C.-A. Pillet, A note on two-times measurement entropy production and modular theory, Lett. Math. Phys. 114:32 (2023), doi:10.1007/s11005-024-01777-0]. We consider the cases of open quantum systems in which all thermal reservoirs are either (discrete) quantum spin systems or free Fermi gases.

Takayuki Miyadera, Masanori Ohya

Giorgio Zicari, Barış Çakmak, Mauro Paternostro

The second law of thermodynamics can be expressed in terms of entropy production, which can be used to quantify the degree of irreversibility of a process. In this Chapter, we consider the standard scenario of open quantum systems, where a system irreversibly interacts with an external environment. We show that the standard approach, based on von Neumann entropy, can be replaced by a phase-space formulation of the problem. In particular, we focus on spin systems that can be described using the so-called spin coherent states. We deploy this formalism to study the interplay between the entropy production rate and the initial quantum coherence available to the system.

Lorenzo Pucci, Massimiliano Esposito, Luca Peliti

Sophia M. Walls, Adam Bloss, Ian J. Ford

Quantum state diffusion is a framework within which measurement may be described as the continuous and gradual collapse of a quantum system to an eigenstate as a result of interaction with its environment. The irreversible nature of the quantum trajectories that arise may be characterized by the environmental stochastic entropy production associated with the measurement. We consider a system of two spin-1/2 particles undergoing either single-particle measurements or measurements of the total z -spin component S z . The mean asymptotic rates of environmental stochastic entropy production associated with collapse can depend on the eigenstate of S z selected and on the initial state of the system, offering an additional avenue for characterizing quantum measurement.

Y. Tokura