Entropy-Based Formulation of Thermodynamics in Arbitrary Quantum Evolution

Abstract

Given the evolution of an arbitrary open quantum system, we formulate a general and unambiguous method to separate the internal energy change of the system into an entropy-related contribution and a part causing no entropy change, identified as heat and work, respectively. We also demonstrate that heat and work admit geometric and dynamical descriptions by developing a universal dynamical equation for the given trajectory of the system. The dissipative and coherent parts of this equation contribute exclusively to heat and work, where the specific role of a work contribution from a counterdiabatic drive is underlined. Next we define an expression for the irreversible entropy production of the system which does not have explicit dependence on the properties of the ambient environment; rather, it depends on a set of the system's observables excluding its Hamiltonian and is independent of internal energy change. We illustrate our results with three examples.

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• Non-Gaussian work statistics at finite-time driving
• A Quantum Otto Engine with Shortcuts to Thermalization and Adiabaticity
• Dynamics of a strongly coupled quantum heat engine -- computing bath observables from the hierarchy of pure states
• Entropy of the quantum work distribution
• Counterdiabatic Formalism of Shortcuts to Adiabaticity
• Qubit dynamics of ergotropy and environment-induced work
• Correlation-Enabled Energy Exchange in Quantum Systems without External Driving
• Pseudomode treatment of strong-coupling quantum thermodynamics
• Non-Markovianity through entropy-based quantum thermodynamics
• A Schmidt decomposition approach to quantum thermodynamics
• Quantum Carnot thermal machines re-examined: Definition of efficiency and the effects of strong coupling
• Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
• Work, Heat and Internal Energy in Open Quantum Systems: A Comparison of Four Approaches from the Autonomous System Framework
• A geometrical description of non-Hermitian dynamics: speed limits in finite rank density operators
• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process
• A constraint on local definitions of quantum internal energy
• Local energy assignment for two interacting quantum thermal reservoirs
• Energy additivity as a requirement for universal quantum thermodynamical frameworks
• Shortcuts to adiabaticity in open quantum critical systems
• On the energetic analysis of autonomous quantum systems
• Thermodynamic bound on quantum state discrimination
• The concept of minimal dissipation and the identification of work in autonomous systems: A view from classical statistical physics
• Ergotropy-Based Quantum Thermodynamics