Thermodynamics of Quantum Information Flows

Abstract

We report two results complementing the second law of thermodynamics for Markovian open quantum systems coupled to multiple reservoirs with different temperatures and chemical potentials. First, we derive a nonequilibrium free energy inequality providing an upper bound for a maximum power output, which for systems with inhomogeneous temperature is not equivalent to the Clausius inequality. Secondly, we derive local Clausius and free energy inequalities for subsystems of a composite system. These inequalities differ from the total system one by the presence of an information-related contribution and build the ground for thermodynamics of quantum information processing. Our theory is used to study an autonomous Maxwell demon.

6 pages, 2 figures, with the Supplementary Material

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Cited by in corpus (9)

• Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
• Characterizing autonomous Maxwell demons
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Entropy and information flow in quantum systems strongly coupled to baths
• Effective thermodynamics of two interacting underdamped Brownian particles
• Thermodynamics of the Coarse-Graining Master Equation
• Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
• Synchronized coherent charge oscillations in coupled double quantum dots
• Photovoltaic properties evaluated by its thermodynamic evolution in a double quantum dot photocell