Probing the energy reactance with adiabatically driven quantum dots

Abstract

The tunneling Hamiltonian describes a particle transfer from one region to the other. While there is no particle storage in the tunneling region itself, it has associated certain amount of energy. We name the corresponding flux energy reactance since, like an electrical reactance, it manifests itself in time-dependent transport only. Noticeably, this quantity is crucial to reproduce the universal charge relaxation resistance for a single-channel quantum capacitor at low temperatures. We show that a conceptually simple experiment is capable of demonstrating the existence of the energy reactance.

arXiv comment6 pages, 2 figures; contains Supplementary Information

References in corpus (38)

• Scattering approach to parametric pumping
• Quantum Thermodynamics
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• An On-Demand Coherent Single Electron Source
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Electrons surfing on a sound wave as a platform for quantum optics with flying electrons
• On-demand single-electron transfer between distant quantum dots
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• Theory of non-equilibrium thermoelectric effects in nanoscale junctions
• Dynamical energy transfer in ac driven quantum systems
• Clock-controlled emission of single-electron wavepackets in a solid-state circuit
• On the nature of heat in strongly coupled open quantum systems
• Fast electron thermometry towards ultra-sensitive calorimetric detection
• Thermoelectric transport of mesoscopic conductors coupled to voltage and thermal probes
• Quantum thermodynamics of the driven resonant level model
• Adiabatic response and quantum thermoelectrics for ac driven quantum systems
• Thermopower with broken time-reversal symmetry
• Dynamics of energy transport and entropy production in ac-driven quantum electron systems
• Periodic energy transport and entropy production in quantum electronics
• Quantum heat fluctuations of single particle sources
• Heat flux operator, current conservation and the formal Fourier's law
• Local temperatures of strongly-correlated quantum dots out of equilibrium
• Electron counting with a two-particle emitter
• Probing Maxwell's Demon with a Nanoscale Thermometer
• Positive Cross Correlations in a Normal-Conducting Fermionic Beam Splitter
• Giant Charge Relaxation Resistance in the Anderson Model
• Nanosecond thermometry with Josephson junction
• Many-body Correlation Effect on Mesoscopic Charge Relaxation
• Energy distribution and local fluctuations in strongly coupled open quantum systems: The extended resonant level model
• Experimental verification of reciprocity relations in quantum thermoelectric transport
• Heat due to system-reservoir correlations in thermal equilibrium
• Local Temperatures and Heat Flow in Quantum Driven Systems
• Time-dependent thermoelectric transport for nanoscale thermal machines
• Injection of a single electron from static to moving quantum dots
• Coulomb-blockade effect in nonlinear mesoscopic capacitors
• Non-linear charge and energy dynamics of an adiabatically driven interacting quantum dot
• Chiral heat transport in driven quantum Hall and quantum spin Hall edge states

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