Thermodynamic Uncertainty Relations for Coherent Transport
arXiv:2502.07917 · doi:10.1103/6nww-8wcp
Abstract
We derive a universal thermodynamic uncertainty relation for Fermionic coherent transport, which bounds the total rate of entropy production in terms of the mean and fluctuations of a single particle current. This bound holds for any multi-terminal geometry and arbitrary chemical and thermal biases, as long as no external magnetic fields are applied. It can further be saturated in two-terminal settings with boxcar-shaped transmission functions and reduces to its classical counterpart in linear response. Upon insertion of a numerical factor, our bound also extends to systems with broken time-reversal symmetry. As an application, we derive trade-off relations between the figures of merit of coherent thermoelectric heat engines and refrigerators, which show that such devices can attain ideal efficiency only at vanishing mean power or diverging power fluctuations. To illustrate our results, we work out a model of a coherent conductor consisting of a chain of quantum dots.
7+1 pages, 2 figures
References in corpus (60)
- Thermodynamic uncertainty relation for biomolecular processes
- An Electronic Mach-Zehnder Interferometer
- Dissipation bounds all steady-state current fluctuations
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Most efficient quantum thermoelectric at finite power output
- A thermoelectric heat engine with ultracold atoms
- Conduction of Ultracold Fermions Through a Mesoscopic Channel
- Quantum limit of heat flow across a single electronic channel
- Shuttling a single charge across a one-dimensional array of silicon quantum dots
- Coherent control of single electrons: a review of current progress
- Fluctuation theorem uncertainty relation
- Observation of Quantized Conductance in Neutral Matter
- Thermodynamic uncertainty relations from exchange fluctuation theorems
- Thermodynamics of precision in quantum non equilibrium steady states
- Unravelling the large deviation statistics of Markovian open quantum systems
- Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
- Thermodynamic uncertainty relation for time-dependent driving
- Quantum suppression of shot noise in atom-size metallic contacts
- 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
- Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
- Quantum thermodynamic uncertainty relation for continuous measurement
- Kinetic uncertainty relation
- Unifying Thermodynamic Uncertainty Relations
- Loading a quantum-dot based "Qubyte" register
- Stochastic thermodynamics: From principles to the cost of precision
- Thermodynamic uncertainty relation for general open quantum systems
- Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
- Observation of Chiral Heat Transport in the Quantum Hall Regime
- Thermodynamic uncertainty relations including measurement and feedback
- Thermodynamic uncertainty relation in thermal transport
- Thermodynamics of Precision in Markovian Open Quantum Dynamics
- Band and correlated insulators of cold fermions in a mesoscopic lattice
- Adiabatic quantum state transfer in a semiconductor quantum-dot spin chain
- Independent electrons model for open quantum systems: Landauer-Buettiker formula and strict positivity of the entropy production
- Electronic heat flow and thermal shot noise in quantum circuits
- Thermodynamics of precision in quantum nano-machines
- Computer-automated tuning procedures for semiconductor quantum dot arrays
- Quantum simulation of antiferromagnetic Heisenberg chain with gate-defined quantum dots
- Entanglement and thermokinetic uncertainty relations in coherent mesoscopic transport
- Thermodynamic uncertainty relations for coherently driven open quantum systems
- Efficient orthogonal control of tunnel couplings in a quantum dot array
- Kinetic uncertainty relation on first passage time for accumulated current
- Experimental verification of reciprocity relations in quantum thermoelectric transport
- Coherent multi-spin exchange coupling in a quantum-dot spin chain
- Thermodynamic Bounds on Coherent Transport in Periodically Driven Conductors
- Broadband frequency filters with quantum dot chains
- General bounds on electronic shot noise in the absence of currents
- Fundamental bounds on precision and response for quantum trajectory observables
- Charge, spin, and heat shot noises in the absence of average currents: Conditions on bounds at zero and finite frequencies
- Thermodynamic performance of hot-carrier solar cells: A quantum transport model
- Absence and recovery of cost-precision tradeoff relations in quantum transport
- Out-of-Equilibrium Fluctuation-Dissipation Bounds
- Trade-offs between number fluctuations and response in nonequilibrium chemical reaction networks
- Constraints between entropy production and its fluctuations in nonthermal engines
- Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
- Thermodynamic uncertainty relations in superconducting junctions
- Reaching Van den Broeck limit in linear response and Whitney limit in nonlinear response in edge mode quantum thermoelectrics and refrigeration
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- Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
- Current precision in interacting hybrid Normal-Superconducting systems
- Thermodynamic bound on current fluctuations in coherent conductors
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