Thermodynamic uncertainty relation in quantum thermoelectric junctions

Abstract

Recently, a thermodynamic uncertainty relation (TUR) has been formulated for classical Markovian systems demonstrating trade-off between precision (current fluctuation) and cost (dissipation). Systems that violate the TUR are interesting as they overcome another trade-off relation concerning the efficiency of a heat engine, its power, and its stability (power fluctuations). Here, we analyze the root, extent, and impact on performance of TUR violations in quantum thermoelectric junctions at steady state. Considering noninteracting electrons, first we show that only the "classical" component of the current noise, arising from single-electron transfer events follows the TUR. The remaining, "quantum" part of current noise is therefore responsible for the potential violation of TUR in such quantum systems. Next, focusing on the resonant transport regime we determine the parameter range in which the violation of the TUR can be observed---for both voltage-biased junctions and thermoelectric engines. We illustrate our findings with exact numerical simulations of a serial double quantum dot system. Most significantly, we demonstrate that the TUR always holds in noninteracting thermoelectric generators when approaching the thermodynamic efficiency limit.

References in corpus (32)

• Thermodynamic uncertainty relation for biomolecular processes
• Electron Counting Statistics and Coherent States of Electric Current
• Dissipation bounds all steady-state current fluctuations
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• Universal trade-off relation between power and efficiency for heat engines
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Universal bounds on current fluctuations
• Finite-time generalization of the thermodynamic uncertainty relation
• Current fluctuations and transport efficiency for general Langevin systems
• Discrete-time thermodynamic uncertainty relation
• Generic Properties of Stochastic Entropy Production
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Inferring dissipation from current fluctuations
• Cycling tames power fluctuations near optimum efficiency
• Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
• Unified thermodynamic uncertainty relations in linear response
• On the validity of the thermodynamic uncertainty relation in quantum systems
• Multidimensional thermodynamic uncertainty relations
• Fundamental Bounds on First Passage Time Fluctuations for Currents
• Tightening the uncertainty principle for stochastic currents
• Energetic costs, precision, and efficiency of a biological motor in cargo transport
• Stochastic thermodynamics: From principles to the cost of precision
• Coherence-enhanced constancy of a quantum thermoelectric generator
• Full counting statistics of vibrationally-assisted electronic conduction: transport and fluctuations of the thermoelectric efficiency
• Bounds on current fluctuations in periodically driven systems
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Physical insight into the thermodynamic uncertainty relation using Brownian motion in tilted periodic potentials
• Efficiency fluctuations in quantum thermoelectric devices
• Affinity- and topology-dependent bound on current fluctuations
• Vibrationally Induced Decoherence in Single-Molecule Junctions
• Mapping of uncertainty relations between continuous and discrete time
• Exact results for the finite time thermodynamic uncertainty relation

Cited by in corpus (72)

• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Thermodynamics of precision in quantum non equilibrium steady states
• Quantum thermodynamic uncertainty relation for continuous measurement
• Thermodynamic uncertainty relation for general open quantum systems
• Violating the Thermodynamic Uncertainty Relation in the Three-Level Maser
• Thermodynamic uncertainty relation in thermal transport
• Thermodynamics of Precision in Markovian Open Quantum Dynamics
• Quantum advantage in charging cavity and spin batteries by repeated interactions
• Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence
• Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
• Thermodynamics of precision in quantum nano-machines
• Entanglement and thermokinetic uncertainty relations in coherent mesoscopic transport
• Universal Bounds on Fluctuations in Continuous Thermal Machines
• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
• Experimental study of the thermodynamic uncertainty relation
• Thermodynamic uncertainty relation in atomic-scale quantum conductors
• Collective effects on the performance and stability of quantum heat engines
• Universal minimal cost of coherent biochemical oscillations
• Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine
• Bounds on fluctuations for finite-time quantum Otto cycle
• Pareto-optimal cycles for power, efficiency and fluctuations of quantum heat engines using reinforcement learning
• Thermodynamic Bounds on Coherent Transport in Periodically Driven Conductors
• Thermodynamic uncertainty relation for energy transport in transient regime -- Model study
• Fundamental bounds on precision and response for quantum trajectory observables
• Inelastic thermoelectric transport and fluctuations in mesoscopic system
• Effect of Measurement Backaction on Quantum Clock Precision Studied with a Superconducting Circuit
• Quantum coherence enables hybrid multitask and multisource regimes in autonomous thermal machines
• Irreversibility, Loschmidt echo, and thermodynamic uncertainty relation
• Optimal energy conversion through anti-adiabatic driving breaking time-reversal symmetry
• First Passage Times for Continuous Quantum Measurement Currents
• Power-efficiency-fluctuations trade-off in steady-state heat engines: The role of interactions
• Absence and recovery of cost-precision tradeoff relations in quantum transport
• Skewness and Kurtosis in Stochastic Thermodynamics
• Thermodynamic uncertainty relation for quantum first passage process
• Out-of-Equilibrium Fluctuation-Dissipation Bounds
• Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
• Precision is not limited by the second law of thermodynamics
• Thermodynamics of a continuously monitored double quantum dot heat engine in the repeated interactions framework
• Quantum-enhanced performance in superconducting Andreev-reflection engines
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Thermodynamic correlation inequality
• Constraints between entropy production and its fluctuations in nonthermal engines
• Thermodynamic uncertainty relations for systems with broken time reversal symmetry: the case of superconducting hybrid systems
• Precision bound and optimal control in periodically modulated continuous quantum thermal machines
• Bounds on fluctuations for ensembles of quantum thermal machines
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
• Isometric Uncertainty Relations
• Synchronization-induced violation of thermodynamic uncertainty relations
• Fluctuations and stability of a fast driven Otto cycle
• Precision bounds for multiple currents in open quantum systems
• Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
• The origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system
• Coherent heat transfer leads to genuine quantum enhancement in the performances of continuous engines
• Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
• Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
• Thermodynamic uncertainty relations in superconducting junctions
• Thermodynamic concentration inequalities and tradeoff relations
• Noise and Thermodynamic Uncertainty Relation in "Underwater" Molecular Junctions
• Thermodynamic uncertainty relations for many-body systems with fast jump rates and large occupancies
• Current noise in quantum dot thermoelectric engines
• Fundamental trade-off between the speed of light and the Fano factor of photon current in three-level lambda systems
• Universal bounds on fluctuations for machines with broken time-reversal symmetry
• Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
• Fundamental precision limits in finite-dimensional quantum thermal machines
• Quantum thermodynamic uncertainty relation and macroscopic superconducting coherence
• Information-thermodynamic bounds on precision in interacting quantum systems
• Universal Precision Limits in General Open Quantum Systems
• Thermodynamic entropic uncertainty relation
• Entropic costs of extracting classical ticks from a quantum clock
• Thermodynamic uncertainty relations for relativistic quantum thermal machines