Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
arXiv:2011.14518 · doi:10.1103/PhysRevE.103.032138
Abstract
The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a trade-off relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines. Here, we examine the interplay of quantum system coherences and heat current fluctuations on the validity of the thermodynamics uncertainty relation in the quantum regime. To achieve the current statistics, we perform a full counting statistics simulation of the Redfield quantum master equation. We focus on steady-state quantum absorption refrigerators where nonzero coherence between eigenstates can either suppress or enhance the cooling power, compared with the incoherent limit. In either scenario, we find enhanced relative noise of the cooling power (standard deviation of the power over the mean) in the presence of system coherence, thereby corroborating the thermodynamic uncertainty relation. Our results indicate that fluctuations necessitate consideration when assessing the performance of quantum coherent thermal machines.
arXiv comment14 pages, 11 figures, comments and suggestions are welcome
References in corpus (117)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
- Thermodynamic uncertainty relation for biomolecular processes
- Electron Counting Statistics and Coherent States of Electric Current
- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- Quantum Thermodynamics
- A single-atom heat engine
- Fluctuation theorems: Work is not an observable
- Dissipation bounds all steady-state current fluctuations
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- A nano heat engine beyond the Carnot limit
- Quantum heat engines and refrigerators: Continuous devices
- Efficiency at maximum power of low dissipation Carnot engines
- Single ion heat engine with maximum efficiency at maximum power
- Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
- How small can thermal machines be? The smallest possible refrigerator
- Brownian Carnot engine
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Experimental demonstration of quantum effects in the operation of microscopic heat engines
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Experimental characterization of a spin quantum heat engine
- A quantum-dot heat engine operating close to the thermodynamic efficiency limits
- The power of a critical heat engine
- On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
- Quantum-enhanced absorption refrigerators
- Markovian master equations for quantum thermal machines: local vs global approach
- Three-Terminal Energy Harvester with Coupled Quantum Dots
- The Quantum Absorption Refrigerator
- Reconciliation of quantum local master equations with thermodynamics
- Tunable photonic heat transport in a quantum heat valve
- Quantum Coherence and Ergotropy
- A spin heat engine coupled to a harmonic-oscillator flywheel
- The unlikely Carnot efficiency
- Modeling heat transport through completely positive maps
- Extracting work from quantum measurement in Maxwell demon engines
- Energetics of quantum correlations
- Virtual qubits, virtual temperatures, and the foundations of thermodynamics
- Fluctuation theorem for currents in open quantum systems
- Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
- {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
- Squeezed thermal reservoirs as a resource for a nano-mechanical engine beyond the Carnot limit
- Testing the validity of the local and global GKLS master equations on an exactly solvable model
- Performance bound for quantum absorption refrigerators
- Quantum Measurement Cooling
- Quantum thermal absorption machines: refrigerators, engines and clocks
- Thermodynamics of precision in quantum non equilibrium steady states
- Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
- Cycling tames power fluctuations near optimum efficiency
- Coherence-assisted single-shot cooling by quantum absorption refrigerators
- On the validity of the thermodynamic uncertainty relation in quantum systems
- Efficiency of a quantum Otto heat engine operating under a reservoir at effective negative temperatures
- The Brownian gyrator: a minimal heat engine on the nano-scale
- An all-optical nanomechanical heat engine
- Efficiency statistics at all times: Carnot limit at finite power
- Optimal cycles for low-dissipation heat engines
- Efficient Quantum Measurement Engine
- Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
- Autonomous Quantum Refrigerator in a Circuit-QED Architecture Based on a Josephson Junction
- Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
- Thermodynamic uncertainty relation in slowly driven quantum heat engines
- Quantum heat engine based on photon-assisted Cooper pair tunneling
- Coherence-enhanced constancy of a quantum thermoelectric generator
- Analog of a quantum heat engine using a single-spin qubit
- Collective operation of quantum heat machines via coherence recycling, and coherence induced reversibility
- Thermodynamic uncertainty relation in quantum thermoelectric junctions
- Full counting statistics of vibrationally-assisted electronic conduction: transport and fluctuations of the thermoelectric efficiency
- Coherence-enhanced efficiency of feedback-driven quantum engines
- Performance of superadiabatic quantum machines
- Autonomous engines driven by active matter: Energetics and design principles
- Thermodynamic uncertainty relation in thermal transport
- Long-lived quasi-stationary coherences in V-type system driven by incoherent light
- Single atom energy-conversion device with a quantum load
- Generalized Gibbs state with modified Redfield solution: Exact agreement up to second order
- Quantum Fuel with Multilevel Atomic Coherence for Ultrahigh Specific Work in a Photonic Carnot Engine
- Realising a quantum absorption refrigerator with an atom-cavity system
- Geometric properties of adiabatic quantum thermal machines
- Quantum thermal machines with single nonequilibrium environments
- Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
- Efficiency fluctuations in quantum thermoelectric devices
- Efficiency fluctuations in microscopic machines
- Many-body quantum heat engines with shortcuts to adiabaticity
- Coherence and decoherence in quantum absorption refrigerators
- Reduced density matrix for nonequilibrium steady states: A modified Redfield solution approach
- Optimal performance of endoreversible quantum refrigerators
- Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
- Internal dissipation and heat leaks in quantum thermodynamic cycles
- Performance limits of multilevel and multipartite quantum heat machines
- Power enhancement of heat engines via correlated thermalization in multilevel systems
- Thermodynamics of precision in quantum nano-machines
- A non-equilibrium quantum many-body Rydberg atom engine
- Quantum fluctuation theorem for heat exchange in the strong coupling regime
- Work and power fluctuations in a critical heat engine
- Quantum energy exchange and refrigeration: A full-counting statistics approach
- Quantum Otto engine with exchange coupling in the presence of level degeneracy
- Thermodynamics in Single-Electron Circuits and Superconducting Qubits
- Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
- Optimizing co-operative multi-environment dynamics in a dark-state-enhanced photosynthetic heat engine
- Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
- Current fluctuations in quantum absorption refrigerators
- Non-equilibrium quantum transport coefficients and the transient dynamics of full counting statistics in the strong coupling and non-Markovian regimes
- Qubit absorption refrigerator at strong coupling
- Roles of quantum coherences in thermal machines
- Effects of noise-induced coherence on the performance of quantum absorption refrigerators
- Electromagnetically Induced Transparency and Quantum Heat Engines
- Efficiency fluctuations of stochastic machines undergoing a phase transition
- Violations of the second law of thermodynamics by a non completely positive dynamics
- Photoelectric converters with quantum coherence
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- Molecular Heat Engines: Quantum Coherence Effects
- Cooling condition for multilevel quantum absorption refrigerators
- Effects of noise-induced coherence on the fluctuations of current in quantum absorption refrigerators
- Heat transfer statistics in mixed quantum-classical systems
- Relation between topology and heat currents in multilevel absorption machines
- Large Deviations and Fluctuation Theorem for the Quantum Heat Current
Cited by in corpus (30)
- Universal Bounds on Fluctuations in Continuous Thermal Machines
- Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine
- Non-Markovian thermal operations boosting the performance of quantum heat engines
- Superradiant many-qubit absorption refrigerator
- Role of Quantum Coherence in Kinetic Uncertainty Relations
- Inelastic thermoelectric transport and fluctuations in mesoscopic system
- Full counting statistics and coherences: fluctuation symmetry in heat transport with the Unified quantum master equation
- Performance boost of a collective qutrit refrigerator
- Absence and recovery of cost-precision tradeoff relations in quantum transport
- Quantum coherence-control of thermal energy transport: The V model as a case study
- Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
- Bounds on fluctuations for ensembles of quantum thermal machines
- Particle current statistics in driven mesoscale conductors
- Coherence-enhanced thermodynamic performance in a periodically-driven inelastic heat engine
- Fluctuations and stability of a fast driven Otto cycle
- Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
- Time-resolved Stochastic Dynamics of Quantum Thermal Machines
- Quantum coherence effects on inelastic thermoelectric devices: From diodes to transistors
- Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Non-equilibrium boundary driven quantum systems: models, methods and properties
- Controlling thermodynamics of a quantum heat engine with modulated amplitude drivings
- Finite-time dynamics of an entanglement engine: current, fluctuations and kinetic uncertainty relations
- Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory
- Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
- Fundamental precision limits in finite-dimensional quantum thermal machines
- Violation of the thermodynamic uncertainty relation in quantum collisional models
- Enhancing the Performances of Autonomous Quantum Refrigerators via Two-Photon Transitions
- Strong system-bath coupling reshapes characteristics of quantum thermal machines
- Quantum heat transport and effects of quantum thermal devices in noncommuting coupled spins