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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Cited by in corpus (564)

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• Gaussian Thermal Operations and the Limits of Algorithmic Cooling
• Would quantum coherence be increased by curvature effect in de Sitter space?
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• Geometrical bounds on irreversibility in open quantum systems
• Recent Progress in the Definition of Thermodynamic Entropy
• Quantum advantage in simulating stochastic processes
• Partial coherence and quantum correlation with fidelity and affinity distances
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• Entropy and relative entropy from information-theoretic principles
• The maximum efficiency of nano heat engines depends on more than temperature
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• The first law of general quantum resource theories
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• An information-theoretic treatment of quantum dichotomies
• Quantum supercapacitors
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• Resource theories of multi-time processes: A window into quantum non-Markovianity
• Charging by quantum measurement
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• Extraction of ergotropy: free energy bound and application to open cycle engines
• Unifying paradigms of quantum refrigeration: fundamental limits of cooling and associated work costs
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• Tight constraints on probabilistic convertibility of quantum states
• Thermodynamics of complexity and pattern manipulation
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• Operational axioms for diagonalizing states
• Microcanonical thermodynamics in general physical theories
• Capacity of non-Markovianity to boost the efficiency of molecular switches
• Enhanced steady-state coherence via repeated system-bath interactions
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• Quantum features and signatures of quantum-thermal machines
• Non-commutative space engine: a boost to thermodynamic processes
• Non-Markovian dynamics under time-translation symmetry
• Entropy and information flow in quantum systems strongly coupled to baths
• Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation
• Minimising the heat dissipation of quantum information erasure
• Quantifying memory capacity as a quantum thermodynamic resource
• Irreversibility at zero temperature from the perspective of the environemnt
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• Reassessing thermodynamic advantage from indefinite causal order
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• Unravelling the non-classicality role in Gaussian heat engines
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• Heat distribution in open quantum systems with maximum entropy production
• Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers
• Second law of thermodynamics for batteries with vacuum state
• General state transitions with exact resource morphisms: a unified resource-theoretic approach
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• The Dynamical Resource Theory of Informational Non-Equilibrium
• Catalysis in Action via Elementary Thermal Operations
• Thermal Processes and State Achievability
• One-shot manipulation of entanglement for quantum channels
• Exploring the gap between thermal operations and enhanced thermal operations
• Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits
• Quantum coherence fluctuation relations
• Covariant catalysis requires correlations and good quantum reference frames degrade little
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• The resource theory of nonclassicality of channel assemblages
• Identifying quantum subsystems using Clausius' second law of thermodynamics
• Coherence manipulation in asymmetry and thermodynamics
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• Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources
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• The resource theory under conditioned thermal operations
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• Anti-Dynamical Casimir Effect as a Resource for Work Extraction
• Synchronization-induced violation of thermodynamic uncertainty relations
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• Quantum battery based on superabsorption
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• Work distribution in a photonic system
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• Second Law of Entanglement Manipulation with Entanglement Battery
• Role of Dilations in Reversing Physical Processes: Tabletop Reversibility and Generalized Thermal Operations
• Work extraction and fully entangled fraction
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• What is Entropy? A new perspective from games of chance
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• Quantum ergodicity for a class of non-generic systems
• Quantum refrigeration powered by noise in a superconducting circuit
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• From Quantum Source Compression to Quantum Thermodynamics
• Memory Effect in Upper Bound of Heat Flux Induced by Quantum Fluctuations
• Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
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• Cooling to absolute zero: The unattainability principle
• Quantum resource-theoretical analysis of the role of vibrational structure in photoisomerization
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• Magnonic Thermal Machines
• Distributed thermal tasks on many-body systems through a single quantum machine
• Optimal performance of a three stroke heat engine in the microscopic regime
• A definition of thermodynamic entropy valid for non-equilibrium states and few-particle systems
• Quantifying the imaginarity via different distance measures
• Generalized Zurek's bound on the cost of an individual classical or quantum computation
• Work drives time evolution
• Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• Noise as a resource
• The second law and beyond in microscopic quantum setups
• Energy bounds for entangled states
• Quantifying athermality and quantum induced deviations from classical fluctuation relations
• Thermal Operations in general are not memoryless
• Resource distillation in convex Gaussian resource theories
• Thermodynamic optimization of quantum algorithms: On-the-go erasure of qubit registers
• Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• The Thermomajorization Polytope and Its Degeneracies
• Choi-Defined Resource Theories
• Zero-Fluctuation Quantum Work Extraction
• Informational non-equilibrium concentration
• Sample Complexity of Black Box Work Extraction
• Coherence and entanglement dynamics in Shor's algorithm
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality
• Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach
• One-shot information-theoretical approaches to fluctuation theorems
• Autonomous quantum heat engine using an electron shuttle
• Catalytic transformations with finite-size environments: applications to cooling and thermometry
• Nonequilibrium quantum thermometry with noncommutative system-bath couplings
• Quantum work fluctuations versus macrorealism in terms of non-extensive entropies
• Single-shot work extraction in quantum thermodynamics revisited
• Renyi divergences, Bures geometry and quantum statistical thermodynamics
• Thermalization of finite complexity and its application to heat bath algorithmic cooling
• Path superposition activating perfect quantum teleportation ability for separable states
• Dissipative qutrit-mediated stable charging
• Correlated dynamics as a resource in molecular switches
• Thermodynamic state convertibility is determined by qubit cooling and heating
• The phenomenon of state reduction
• Inevitable Negativity: Additivity Commands Negative Quantum Channel Entropy
• Revising the quantum work fluctuation framework to encompass energy conservation
• Competition of Direct and Indirect Sources of Thermal Entanglement in a spin star network
• Probabilistic pure state conversion on the majorization lattice
• Sufficiency of Rényi divergences
• Resource theories with completely passive states and passive states as free states
• Active electron cooling of graphene
• Entropic Quantum Machine
• Projection hypothesis in the setting for the quantum Jarzynski equality
• Realism-Completeness-Universality interpretation of quantum mechanics
• Gaussian work extraction from random Gaussian states is nearly impossible
• General entropic constraints on CSS codes within magic distillation protocols
• Majorization requires infinitely many second laws
• Organic molecule fluorescence as an experimental test-bed for quantum jumps in thermodynamics
• Increasing extractable work in small qubit landscapes
• Coordinately Assisted Distillation of Quantum Coherence in Multipartite System
• Quantum fluctuation theorem for initial near-equilibrium system
• Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
• Cooling a Qubit using n Others
• Thermodynamic criteria for signaling in quantum channels
• Effects of correlated hopping on thermoelectric response of a quantum dot strongly coupled to ferromagnetic leads
• Remote Creation of Quantum Coherence via Indefinite Causal Order
• Extraction of Work via a Thermalization Protocol
• General limit to thermodynamic annealing performance
• On the energetic analysis of autonomous quantum systems
• On the Alberti-Uhlmann Condition for Unital Channels
• Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics
• Mixing of quantum states under Markovian dissipation and coherent control
• Cooling and work extraction under memory-assisted Markovian thermal processes
• A Bayesian view of Single-Qubit Clocks, and an Energy versus Accuracy tradeoff
• Tabletop reversibility of phase-covariant operations
• Thermodynamics of local baths in the context of work extraction
• The Coherent Crooks Equality
• Relative volume of comparable pairs under semigroup majorization
• Quantum Effects in Ion Transport: A Thermodynamic Resource Theory Approach
• Quantum Thermodynamics Allows Quantum Measurement Almost Without Collapse
• Classical noise and the structure of minimal uncertainty states
• Synthesis of Energy-Conserving Quantum Circuits with XY interaction
• Quantum thermodynamics under continuous monitoring: a general framework
• Mathematical methods for resource-based type theories
• Informational work storage in quantum thermodynamics
• Fluctuations in Extractable Work and Bounds on the Charging Power of Quantum Batteries
• Modeling the effect of transient violations of the second law of thermodynamics on heat transfer in silicon nanowire
• Coherent preorder of quantum states
• Finite-size catalysis in quantum resource theories
• Universality and classification of elementary thermal operations
• Open Quantum Systems at Low Temperature
• Universal work extraction in quantum thermodynamics
• Thermodynamic Constraints on Information Transmission in Quantum Ensembles
• A finite sufficient set of conditions for catalytic majorization
• Nonequilibrium Thermodynamics in Measuring Carbon Footprints: Disentangling Structure and Artifact in Input-Output Accounting
• Local Purity Distillation in Quantum Systems: Exploring the Complementarity Between Purity and Entanglement
• Quantum Shape Effects
• Thermal operations from informational equilibrium
• Universal Statistics of Charges Exchanges in Non-Abelian Quantum Transport
• Quantum Enhanced Energy Distribution for Information Heat Engines
• Singlet-Like Correlations: Equal Peak Work, Unequal Robustness
• Advantage of flexible catalysis for entanglement and quantum thermodynamics
• Quantum regression theorem in the Unruh-DeWitt battery