Floquet scattering matrix theory of heat fluctuations in dynamical quantum conductors

Abstract

I present the Floquet scattering matrix theory of low-frequency heat fluctuations in driven multi-terminal quantum-coherent conductors in the linear response regime and beyond. The intrinsic fluctuations of energy of dynamically excited electrons are identified as the fundamental source of a heat noise not revealed by the electrical noise. The role of backscattering in the increase of a heat noise above the level defined by the Callen-Welton fluctuation-dissipation theorem, is highlighted.

5 pages, 1 figure; title changed, references added, heat noise of levitons corrected

References in corpus (10)

• An On-Demand Coherent Single Electron Source
• Quantum limit of heat flow across a single electronic channel
• Heat dissipation in atomic-scale junctions
• Minimal excitation states of electrons in one-dimensional wires
• Dynamical energy transfer in ac driven quantum systems
• Correlations of heat and charge currents in quantum-dot thermoelectric engines
• Heat production and current noise for single- and double-cavity quantum capacitors
• Quantum heat fluctuations of single particle sources
• Heat transport through a Josephson junction
• Two-electron state from the Floquet scattering matrix perspective

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• Colloquium: Quantum heat transport in condensed matter systems
• Scattering Theory for Floquet-Bloch States
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• Periodic energy transport and entropy production in quantum electronics
• Energy and power fluctuations in ac-driven coherent conductors
• Minimal excitation states for heat transport in driven quantum Hall systems
• Mixed, charge and heat noises in thermoelectric nanosystems
• Full-counting statistics of transient energy current in mesoscopic systems
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Heat and charge transport measurements to access single-electron quantum characteristics
• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Minimal-excitation single-particle emitters: A comparison of charge and energy transport properties
• Probing charge and heat current noise by frequency-dependent temperature and potential fluctuations
• Heat-charge mixed noise and thermoelectric efficiency fluctuations
• Simulating time-dependent thermoelectric transport in quantum systems
• Electronic heat current fluctuations in a quantum dot
• High-temperature fusion of a multi-electron leviton
• Nonadiabatic Dynamics Near Metal Surface With Periodic Drivings: A Floquet Surface Hopping Algorithm
• Correlations between charge and energy current in ac-driven coherent conductors
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
• Heat Pulses in Electron Quantum Optics
• Thermal transport through ac-driven transparent Josephson weak links
• Quantum point contacts as heat engines
• Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
• Transport fluctuation relations in interacting quantum pumps
• Pumped heat and charge statistics from Majorana braiding
• Quantum stochastic thermodynamics in the mesoscopic-leads formulation
• Hybrid interacting quantum Hall thermal machine
• Quantum transport phenomena induced by time-dependent fields
• Correlations between charge and heat currents in an interacting quantum dot