Fluctuation Theorem and Microreversibility in a Quantum Coherent Conductor

Abstract

Mesoscopic systems provide us a unique experimental stage to address non-equilibrium quantum statistical physics. By using a simple tunneling model, we describe the electron exchange process via a quantum coherent conductor between two reservoirs, which yields the fluctuation theorem (FT) in mesoscopic transport. We experimentally show that such a treatment is semi-quantitatively validated in the current and noise measurement in an Aharonov-Bohm ring. The experimental proof of the microreversibility assumed in the derivation of FT is presented.

7 pages, 5 figures

References in corpus (31)

• Shot Noise in Mesoscopic Conductors
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Counting statistics of single-electron transport in a quantum dot
• Nonequilibrium fluctuations in a resistor
• Chaotic hypothesis: Extension of Onsager reciprocity to large fields and the chaotic hypothesis
• Fluctuation theorem for currents and Schnakenberg network theory
• Fluctuation theorem for currents in open quantum systems
• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Magnetic-field asymmetry of nonlinear mesoscopic transport
• Fluctuation theorems for continuously monitored quantum fluxes
• Bidirectional Single-Electron Counting and the Fluctuation Theorem
• Non-equilibrium Fluctuation Relations in a Quantum Coherent Conductor
• Signature of the electron-electron interaction in the magnetic field dependence of nonlinear I-V characteristics in mesoscopic systems
• Magnetic field symmetry and phase rigidity of the nonlinear conductance in a ring
• A system for measuring auto- and cross-correlation of current noise at low temperatures
• Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
• Magnetic field asymmetry of nonlinear transport in carbon nanotubes
• Asymmetry of Nonlinear Transport and Electron Interactions in Quantum Dots
• Fluctuation Theorem in a Quantum-Dot Aharonov-Bohm Interferometer
• Experimental investigation of the breakdown of the Onsager-Casimir relations
• Magnetic field asymmetry of mesocopic dc rectification in Aharonov Bohm rings
• Transient fluctuation relations for time-dependent particle transport
• Mesoscopic fluctuations of nonlinear conductance of chaotic quantum dots
• Rectification and nonlinear transport in chaotic dots and rings
• Universality of Bias- and Temperature-induced Dephasing in Ballistic Electronic Interferometers
• Bolometric Detection of Quantum Shot Noise in Coupled Mesoscopic Systems
• Magnetoasymmetric transport in a mesoscopic interferometer: From the weak to the strong coupling regime
• Magnetoasymmetric current fluctuations of single-electron tunneling
• Conductance Anomaly and Fano Factor Reduction in Quantum Point Contacts
• Magnetic field induced non-Gaussian fluctuations in macroscopic equilibrium systems

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• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Perspective: Quantum Thermodynamics
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• Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
• Fluctuation theorems for capacitively coupled electronic currents
• Detection of single-electron heat transfer statistics
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
• Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer
• Principles of Low Dissipation Computing from a Stochastic Circuit Model
• Fluctuation Relations for Spintronics
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Fluctuation theorem for heat transport probed by a thermal electrode
• Energy flow and fluctuations in non-equilibrium conformal field theory on star graphs
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Geometric Fluctuation Theorem
• Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
• Distribution of energy dissipated by a driven two-level system
• Time-symmetric current and its fluctuation response relation around nonequilibrium stalling stationary state
• What Can We Learn from Noise? -- Mesoscopic Nonequilibrium Statistical Physics --
• Fluctuation theorems without time-reversal symmetry
• Work fluctuation theorem for a classical circuit coupled to a quantum conductor
• Random paths and current fluctuations in nonequilibrium statistical mechanics
• Microreversibility and nonequilibrium response theory in magnetic fields
• Fluctuation relations for spin currents
• Non-equilibrium version of the Einstein relation
• Magnetotransport in Aharonov Bohm interferometers: Exact numerical simulations
• Typical Pure Nonequilibrium Steady States
• Thermal junctions controlled with Aharonov-Bohm phases
• Microreversibility and quantum transport in Aharonov-Bohm rings
• Microreversibility, nonequilibrium response, and Euler's polynomials
• Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals
• Carrier-carrier inelastic scattering events for spatially separated electrons: magnetic asymmetry and turnstile electron transfer
• Wasserstein distance in speed limit inequalities for Markov jump processes
• Interface-driven electrical magnetochiral anisotropy in Pt/PtMnGa bilayers
• Green-Kubo formulas with symmetrized correlation functions for quantum systems in steady states: the shear viscosity of a fluid in a steady shear flow
• Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state
• Fluctuation theorem for spin transport at insulating ferromagnetic junctions