Nonequilibrium thermodynamics of quantum coherence beyond linear response

Abstract

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of quantum coherence has turned out to be challenging. In particular, precise conditions under which coherence is beneficial to or, on the contrary, detrimental for work extraction from a system have remained elusive. We here develop a generic dynamic-Bayesian-network approach to the far-from-equilibrium thermodynamics of coherence. We concretely derive generalized fluctuation relations and a maximum-work theorem that fully account for quantum coherence at all times, for both closed and open dynamics. We obtain criteria for successful coherence-to-work conversion, and identify a nonequilibrium regime where maximum work extraction is increased by quantum coherence for fast processes beyond linear response.

References in corpus (66)

• A nonequilibrium equality for free energy differences
• Decoherence, einselection, and the quantum origins of the classical
• Advances in Quantum Metrology
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Quantum Communication
• Quantum Coherence as a Resource
• Adiabatic Quantum Computing
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• The role of quantum information in thermodynamics --- a topical review
• Fundamental limitations for quantum and nano thermodynamics
• Fluctuation theorems: Work is not an observable
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The second laws of quantum thermodynamics
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Catalytic Coherence
• Dissipation: The phase-space perspective
• Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
• Experimental demonstration of quantum effects in the operation of microscopic heat engines
• Dissipative production of a maximally entangled steady state
• Irreversible entropy production, from quantum to classical
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Experimental characterization of a spin quantum heat engine
• The resource theory of informational nonequilibrium in thermodynamics
• Stabilizing entanglement autonomously between two superconducting qubits
• The extraction of work from quantum coherence
• Low-temperature thermodynamics with quantum coherence
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• Quantum collision models: open system dynamics from repeated interactions
• Engineered Dissipation for Quantum Information Science
• Cavity-assisted quantum bath engineering
• The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
• Nonequilibrium entropy production for open quantum systems
• An introductory review of the resource theory approach to thermodynamics
• Coherence and measurement in quantum thermodynamics
• Consistency of the Adiabatic Theorem
• Coherence effects in the performance of the quantum Otto heat engine
• Irreversible work and inner friction in quantum thermodynamic processes
• The role of quantum coherence in non-equilibrium entropy production
• Dissipation and lag in irreversible processes
• Otto refrigerator based on a superconducting qubit: classical and quantum performance
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Thermodynamics of weakly coherent collisional models
• Thermodynamic Geometry of Microscopic Heat Engines
• Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response
• Fluctuation theorems in driven open quantum systems
• Periodic Thermodynamics of Open Quantum Systems
• Work fluctuations in slow processes: quantum signatures and optimal control
• Using a quantum work meter to test non-equilibrium fluctuation theorems
• Quantum fluctuation theorems beyond two-point measurements
• Quantum work statistics close to equilibrium
• Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
• Clock-work trade-off relation for coherence in quantum thermodynamics
• Nonexponential quantum decay under environmental decoherence
• Extreme Decoherence and Quantum Chaos
• Short-Time Decoherence for General System-Environment Interactions
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks
• Thermodynamics of Optical Bloch Equations
• Role of the superposition principle for enhancing the efficiency of the quantum-mechanical Carnot engine
• Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach
• The tight Second Law inequality for coherent quantum systems and finite-size heat baths
• Information Fluctuation Theorem for an Open Quantum Bipartite System
• Adiabatic Approximation in the Density Matrix Approach: Non-Degenerate Systems

Cited by in corpus (7)

• Role of Quantum Coherence in Kinetic Uncertainty Relations
• Non-Abelian transport distinguishes three usually equivalent notions of entropy production
• Synchronization-induced violation of thermodynamic uncertainty relations
• Energy additivity as a requirement for universal quantum thermodynamical frameworks
• Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
• Work fluctuation theorems with initial quantum coherence
• Quantum Coherence and Anomalous Work Extraction in Qubit Gate Dynamics