Role of Quantum Coherence in Thermodynamics
arXiv:2205.13612 · doi:10.1103/PRXQuantum.3.040323
Abstract
We find necessary and sufficient conditions to determine the inter-convertibility of quantum systems under time-translation covariant evolution, and use it to solve several problems in quantum thermodynamics both in the single-shot and asymptotic regimes. It is well known that the resource theory of quantum athermality is not reversible, but in PRL 111, 250404 (2013) it was claimed that the theory becomes reversible ``provided a sublinear amount of coherent superposition over energy levels is available". Here we show that if a sublinear amount of coherence among energy levels were considered free, then the resource theory of athermality would become trivial. Instead, we show that by considering a sublinear amount of energy to be free, the theory of athermality becomes reversible for the pure-state case. A proof of the same claim for the mixed-state case is still lacking.
arXiv comment22 pages, 1 figure, published version
References in corpus (31)
- Quantum Resource Theories
- The role of quantum information in thermodynamics --- a topical review
- 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
- The Physics of Maxwell's demon and information
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Quantum coherence, time-translation symmetry and thermodynamics
- Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
- The thermodynamic meaning of negative entropy
- Work extraction and thermodynamics for individual quantum systems
- The resource theory of informational nonequilibrium in thermodynamics
- Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
- A mathematical theory of resources
- (Quantumness in the context of) Resource Theories
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- A derivation (and quantification) of the third law of thermodynamics
- Microcanonical and resource-theoretic derivations of the thermal state of a quantum system with noncommuting charges
- Thermodynamics of quantum systems with multiple conserved quantities
- Thermodynamic resource theories, non-commutativity and maximum entropy principles
- Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
- Beyond heat baths: Generalized resource theories for small-scale thermodynamics
- A measure of majorisation emerging from single-shot statistical mechanics
- Resource theory of asymmetric distinguishability for quantum channels
- Axiomatic relation between thermodynamic and information-theoretic entropies
- Relative submajorization and its use in quantum resource theories
- Unravelling the role of coherence in the first law of quantum thermodynamics
- Beyond heat baths II: Framework for generalized thermodynamic resource theories
- What is the probability of a thermodynamical transition?
- Autonomous thermal machine for amplification and control of energetic coherence
- Entropy and relative entropy from information-theoretic principles