Fluctuation theorems for capacitively coupled electronic currents

Abstract

The counting statistics of electron transport is theoretically studied in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The nonequilibrium steady state of the system is controlled by two affinities or thermodynamic forces, each one determined by the two reservoirs of each channel. The status of a single-current fluctuation theorem is investigated starting from the fundamental two-current fluctuation theorem, which is a consequence of microreversibility. We show that the single-current fluctuation theorem holds in the limit of a large Coulomb repulsion between the two parallel quantum dots, as well as in the limit of a large current ratio between the parallel channels. In this latter limit, the symmetry relation of the single-current fluctuation theorem is satisfied with respect to an effective affinity that is much lower than the affinity determined by the reservoirs. This back-action effect is quantitatively characterized.

15 pages, 9 figures

References in corpus (9)

• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Preservation of Positivity by Dynamical Coarse-Graining
• Fluctuation theorems for continuously monitored quantum fluxes
• Tunable Noise Cross-Correlations in a Double Quantum Dot
• Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
• Noise Correlations in a Coulomb Blockaded Quantum Dot
• Fluctuation Theorem and Microreversibility in a Quantum Coherent Conductor
• Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer
• A low-dimensional detector model for full counting statistics: Trajectories, Back-Action, and Fidelity

Cited by in corpus (46)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Stochastic thermodynamics under coarse-graining
• Thermodynamics of a physical model implementing a Maxwell demon
• Thermodynamics with continuous information flow
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Irreversibility on the Level of Single-Electron Tunneling
• Irreversibility and hysteresis in redox molecular conduction junctions
• Correlations of heat and charge currents in quantum-dot thermoelectric engines
• Stochastic Thermodynamics of Non-Linear Electronic Circuits: A Realistic Framework for Computing around kT
• Fluctuation-dissipation relations far from equilibrium
• Powerful energy harvester based on resonant-tunneling quantum wells
• Autonomous conversion of information to work in quantum dots
• Single electron transistor strongly coupled to vibrations: Counting Statistics and Fluctuation Theorem
• Conservation laws and symmetries in stochastic thermodynamics
• Joint probability distributions and fluctuation theorems
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• Thermoelectrics with Coulomb coupled quantum dots
• Mutual Entropy-Production and Sensing in Bipartite Systems
• First-passage times in renewal and nonrenewal systems
• Fluctuating Currents in Stochastic Thermodynamics I. Gauge Invariance of Asymptotic Statistics
• Fluctuation Relations for Spintronics
• Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact
• Incomplete current fluctuation theorems for a four-terminal model
• Comparative study of heat-driven and power-driven refrigerators with Coulomb-coupled quantum dots
• Dynamical Coulomb blockade of thermal transport
• Double quantum dot coupled to a quantum point contact: A stochastic thermodynamics approach
• Quantum transport, master equations, and exchange fluctuations
• Fluctuation Relations for Current Components in Mesoscopic Electric Circuits
• Quantum Transport With Two Interacting Conduction Channels
• Effective thermodynamics of two interacting underdamped Brownian particles
• Stochastic thermodynamics based on incomplete information: Generalized Jarzynski equality with measurement errors with or without feedback
• Statistics of heat transport across capacitively coupled double quantum dot circuit
• Counting statistics and microreversibility in stochastic models of transistors
• Thermodynamic inference based on coarse-grained data or noisy measurements
• On entropy production in nonequilibrium systems
• Work fluctuation theorem for a classical circuit coupled to a quantum conductor
• An estimator of entropy production for partially accessible Markov networks based on the observation of blurred transitions
• Capacitively coupled nano conductors: Ratchet currents and exchange fluctuation relations
• Generalized Master Equation Approach to Time-Dependent Many-Body Transport
• Random paths and current fluctuations in nonequilibrium statistical mechanics
• Non-equilibrium version of the Einstein relation
• Validity of path thermodynamics in reactive systems
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Comment on "Validity of path thermodynamics in reactive systems''
• Transport out of locally broken detailed balance
• Resonant Regimes in the Fock-Space Coherence of Multilevel Quantum Dots