Performance bound for quantum absorption refrigerators

Abstract

An implementation of quantum absorption chillers with three qubits has been recently proposed, that is ideally able to reach the Carnot performance regime. Here we study the working efficiency of such self-contained refrigerators, adopting a consistent treatment of dissipation effects. We demonstrate that the coefficient of performance at maximum cooling power is upper bounded by 3/4 of the Carnot performance. The result is independent of the details of the system and the equilibrium temperatures of the external baths. We provide design prescriptions that saturate the bound in the limit of a large difference between the operating temperatures. Our study suggests that delocalized dissipation, which must be taken into account for a proper modelling of the machine-baths interaction, is a fundamental source of irreversibility which prevents the refrigerator from approaching the Carnot performance arbitrarily closely in practice. The potential role of quantum correlations in the operation of these machines is also investigated.

9 pages, 5 figures; published version

References in corpus (24)

• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Introducing Quantum Discord
• Classical, quantum and total correlations
• The classical-quantum boundary for correlations: discord and related measures
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• The foundations of statistical mechanics from entanglement: Individual states vs. averages
• Quantum discord for two-qubit X-states
• Efficiency at maximum power of low dissipation Carnot engines
• Almost all quantum states have non-classical correlations
• Single ion heat engine with maximum efficiency at maximum power
• How small can thermal machines be? The smallest possible refrigerator
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• The Quantum Absorption Refrigerator
• Virtual qubits, virtual temperatures, and the foundations of thermodynamics
• Quantum Refrigerator and the III-law of Thermodynamics
• Minimal universal quantum heat machine
• Emergent thermodynamics in a quenched quantum many-body system
• Quantum thermodynamic cooling cycle
• Optimal refrigerator
• The smallest refrigerators can reach maximal efficiency
• Coefficient of performance at maximum figure of merit and its bounds for low-dissipation Carnot-like refrigerators
• Quantum refrigerator driven by current noise
• Minimal model of a heat engine: An information theory approach

Cited by in corpus (130)

• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Quantum heat engines and refrigerators: Continuous devices
• Quantum Equivalence and Quantum Signatures in Heat Engines
• Measures and applications of quantum correlations
• On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
• Quantum-enhanced absorption refrigerators
• Extractable Work from Correlations
• Reconciliation of quantum local master equations with thermodynamics
• Quantum discord and its allies: a review
• Entanglement enhances cooling in microscopic quantum fridges
• Quantum thermal machines and batteries
• Testing the validity of the local and global GKLS master equations on an exactly solvable model
• Quantum thermal absorption machines: refrigerators, engines and clocks
• The thermodynamic cost of driving quantum systems by their boundaries
• Coherence-assisted single-shot cooling by quantum absorption refrigerators
• Thermodynamics of quantum systems under dynamical control
• Fluctuations in extractable work bound the charging power of quantum batteries
• On the nature of heat in strongly coupled open quantum systems
• Non-additive dissipation in open quantum networks out of equilibrium
• Collective operation of quantum heat machines via coherence recycling, and coherence induced reversibility
• Quantum correlated heat engine with nonlinear spin-spin interactions
• Strongly coupled quantum heat machines
• Small quantum absorption refrigerator in the transient regime: time scales, enhanced cooling and entanglement
• Non-equilibrium quantum heat machines
• Quantum Engines and Refrigerators
• Heat-machine control by quantum-state preparation: from quantum engines to refrigerators
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• A short note on passivity, complete passivity and virtual temperatures
• Random Quantum Batteries
• Quantum Signatures in the Quantum Carnot Cycle
• Rabi model as a quantum coherent heat engine: From quantum biology to superconducting circuits
• Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamic resource
• Realising a quantum absorption refrigerator with an atom-cavity system
• The thermodynamics of creating correlations: Limitations and optimal protocols
• Quantum thermal machines with single nonequilibrium environments
• Quantum heat machines equivalence and work extraction beyond Markovianity, and strong coupling via heat exchangers
• Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
• Non-Markov Enhancement of Maximum Power for Quantum Thermal Machines
• Quantum thermodynamically consistent local master equations
• Maximum power and corresponding efficiency for two-level heat engines and refrigerators: optimality of fast cycles
• Adding dynamical generators in quantum master equations
• Single-atom heat machines enabled by energy quantization
• Coherence and decoherence in quantum absorption refrigerators
• Nonlocal thermoelectricity in a Cooper-pair splitter
• Optimal performance of endoreversible quantum refrigerators
• Refrigeration beyond weak internal coupling
• Internal dissipation and heat leaks in quantum thermodynamic cycles
• Power enhancement of heat engines via correlated thermalization in multilevel systems
• Energy storage and coherence in closed and open quantum batteries
• Multi-stage quantum absorption heat pumps
• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
• Quantum finite-time thermodynamics: insight from a single qubit engine
• Boosting the performance of small autonomous refrigerators via common environmental effects
• Quantum Battery with Ultracold Atoms: Bosons vs. Fermions
• Three-qubit refrigerator with two-body interactions
• How an autonomous quantum Maxwell demon can harness correlated information
• Universal two-level quantum Otto machine under a squeezed reservoir
• Optimal operation of a three-level quantum heat engine and universal nature of efficiency
• A small quantum absorption refrigerator with reversed couplings
• Work and entropy production in generalised Gibbs ensembles
• Quantum thermal machine acting on a many-body quantum system: role of correlations in thermodynamic tasks
• Qubit absorption refrigerator at strong coupling
• Quantum limit to nonequilibrium heat-engine performance imposed by strong system-reservoir coupling
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• Effects of noise-induced coherence on the performance of quantum absorption refrigerators
• Local master equations bypass the secular approximation
• Characterization of an operational quantum resource in a critical many-body system
• Random Matrix Theory of the Isospectral twirling
• A quantum Otto engine with finite heat baths: energy, correlations, and degradation
• Quantum speed limit constraints on a nanoscale autonomous refrigerator
• Open system dynamics from thermodynamic compatibility
• Extending the laws of thermodynamics for arbitrary autonomous quantum systems
• Nonequilibrium quantum absorption refrigerator
• Two-body quantum absorption refrigerators with optomechanical-like interactions
• Generating steady quantum coherence and magic through an autonomous thermodynamic machine by utilizing a spin bath
• The Passivity Deformation Approach for the Thermodynamics of Isolated Quantum Setups
• Maximum power heat engines and refrigerators in the fast-driving regime
• Superradiant many-qubit absorption refrigerator
• Quantum Energy Lines and the optimal output ergotropy problem
• Unified trade-off optimization of a three-level quantum refrigerator
• Speed and Efficiency Limits of Multilevel Incoherent Heat Engines
• Cycle Flux Ranking of Network Analysis in Quantum Thermal Device
• Optimizing thermalizations
• Optimal Performance of a Three-level Quantum Refrigerator
• Quantum thermal transistors: Operation characteristics in steady state versus transient regimes
• Thermodynamics of quantum feedback cooling
• Common environmental effects on quantum thermal transistor
• The smallest absorption refrigerator: the thermodynamics of a system with quantum local detailed balance
• Classical emulation of quantum-coherent thermal machines
• Cooling condition for multilevel quantum absorption refrigerators
• Necessarily transient quantum refrigerator
• Effects of noise-induced coherence on the fluctuations of current in quantum absorption refrigerators
• Bath assisted transport in a three-site spin chain: global {\sl vs} local approach
• Gaussian tripartite entanglement out of equilibrium
• Coefficient of performance under maximum $\chi$ criterion in a two-level atomic system as a refrigerator
• Dissipation-induced collective advantage of a quantum thermal machine
• Designing Robust Quantum Refrigerators in Disordered Spin Models
• Quantum features and signatures of quantum-thermal machines
• Low-control and robust quantum refrigerator and applications with electronic spins in diamond
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Enabling the self-contained refrigerator to work beyond its limits by filtering the reservoir
• Quantum heat engines with complex working media, complete Otto cycles and heuristics
• Relation between topology and heat currents in multilevel absorption machines
• Exact steady state of the open XX-spin chain: entanglement and transport properties
• Linear response theory for quantum Gaussian processes
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Efficiency of inefficient endoreversible thermal machines
• Maximum efficiency of absorption refrigerators at arbitrary cooling power
• Testing a Quantum Heat Pump with a Two-Level Spin
• Three qubits in less than three baths: Beyond two-body system-bath interactions in quantum refrigerators
• Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
• Quantum Thermal Amplifiers with Engineered Dissipation
• Refrigeration via purification through repeated measurements
• All-thermal reversal of heat currents using qutrits
• Performance of continuous quantum thermal devices indirectly connected to environments
• Thermometric machine for ultraprecise thermometry of low temperatures
• Restricted Monte Carlo wave function method and Lindblad equation for identifying entangling open-quantum-system dynamics
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Physical implementations of quantum absorption refrigerators
• Transient effects in quantum refrigerators with finite environments
• Perturbative treatment for stationary state of local master equation
• Framework for fluctuating times and counting observables in stochastic excursions
• Enhancing the Performances of Autonomous Quantum Refrigerators via Two-Photon Transitions
• Characterising two-sided quantum correlations beyond entanglement via metric-adjusted f-correlations
• Work extraction from heat-powered quantized optomechanical setups
• Non-equilibrium Dynamics of Three-Level Absorption Refrigerator at Third-Order Liouvillian Exceptional Points
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
• The qutrit as a heat diode and circulator