Fundamental limitations for quantum and nano thermodynamics

Abstract

The relationship between thermodynamics and statistical physics is valid in the thermodynamic limit - when the number of particles becomes very large. Here, we study thermodynamics in the opposite regime - at both the nano scale, and when quantum effects become important. Applying results from quantum information theory we construct a theory of thermodynamics in these limits. We derive general criteria for thermodynamical state transformations, and as special cases, find two free energies: one that quantifies the deterministically extractable work from a small system in contact with a heat bath, and the other that quantifies the reverse process. We find that there are fundamental limitations on work extraction from nonequilibrium states, owing to finite size effects and quantum coherences. This implies that thermodynamical transitions are generically irreversible at this scale. As one application of these methods, we analyse the efficiency of small heat engines and find that they are irreversible during the adiabatic stages of the cycle.

Final, published version

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• Resource distillation in convex Gaussian resource theories
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• The Thermomajorization Polytope and Its Degeneracies
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• Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• Coherence and entanglement dynamics in Shor's algorithm
• Quantifying athermality and quantum induced deviations from classical fluctuation relations
• Choi-Defined Resource Theories
• Energy bounds for entangled states
• Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach
• Informational non-equilibrium concentration
• Thermodynamic optimization of quantum algorithms: On-the-go erasure of qubit registers
• Sufficiency of Rényi divergences
• Quantum work fluctuations versus macrorealism in terms of non-extensive entropies
• Competition of Direct and Indirect Sources of Thermal Entanglement in a spin star network
• Probabilistic pure state conversion on the majorization lattice
• Single-shot work extraction in quantum thermodynamics revisited
• Thermodynamic state convertibility is determined by qubit cooling and heating
• Active electron cooling of graphene
• One-shot information-theoretical approaches to fluctuation theorems
• Inevitable Negativity: Additivity Commands Negative Quantum Channel Entropy
• Revising the quantum work fluctuation framework to encompass energy conservation
• Resource theories with completely passive states and passive states as free states
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• Correlated dynamics as a resource in molecular switches
• Dissipative qutrit-mediated stable charging
• Path superposition activating perfect quantum teleportation ability for separable states
• Thermalization of finite complexity and its application to heat bath algorithmic cooling
• Nonequilibrium quantum thermometry with noncommutative system-bath couplings
• Catalytic transformations with finite-size environments: applications to cooling and thermometry
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• A Bayesian view of Single-Qubit Clocks, and an Energy versus Accuracy tradeoff
• Extraction of Work via a Thermalization Protocol
• General limit to thermodynamic annealing performance
• Quantum fluctuation theorem for initial near-equilibrium system
• General entropic constraints on CSS codes within magic distillation protocols
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• Entropic Quantum Machine
• On the energetic analysis of autonomous quantum systems
• On the Alberti-Uhlmann Condition for Unital Channels
• Realism-Completeness-Universality interpretation of quantum mechanics
• Increasing extractable work in small qubit landscapes
• Coordinately Assisted Distillation of Quantum Coherence in Multipartite System
• Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
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• Modeling the effect of transient violations of the second law of thermodynamics on heat transfer in silicon nanowire
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• Universal Statistics of Charges Exchanges in Non-Abelian Quantum Transport
• Thermal operations from informational equilibrium
• Thermodynamics of local baths in the context of work extraction
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• Open Quantum Systems at Low Temperature
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• Local Purity Distillation in Quantum Systems: Exploring the Complementarity Between Purity and Entanglement
• Universal work extraction in quantum thermodynamics
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• Thermodynamic Constraints on Information Transmission in Quantum Ensembles
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• Fluctuations in Extractable Work and Bounds on the Charging Power of Quantum Batteries
• Relative volume of comparable pairs under semigroup majorization
• Coherent preorder of quantum states
• Quantum Effects in Ion Transport: A Thermodynamic Resource Theory Approach
• Classical noise and the structure of minimal uncertainty states
• Quantum Shape Effects
• Quantum Enhanced Energy Distribution for Information Heat Engines
• Finite-size catalysis in quantum resource theories
• Quantum Thermodynamics Allows Quantum Measurement Almost Without Collapse
• Synthesis of Energy-Conserving Quantum Circuits with XY interaction
• Mathematical methods for resource-based type theories
• The Coherent Crooks Equality