Non-linear charge and energy dynamics of an adiabatically driven interacting quantum dot

Abstract

We formulate a general theory to study the time-dependent charge and energy transport of an adiabatically driven interacting quantum dot in contact to a reservoir for arbitrary amplitudes of the driving potential. We study within this framework the Anderson impurity model with a local ac gate voltage. We show that the exact adiabatic quantum dynamics of this system is fully determined by the behavior of the charge susceptibility of the frozen problem. At $T=0$, we evaluate the dynamic response functions with the numerical renormalization group (NRG). The time-resolved heat production exhibits a pronounced feature described by an instantaneous Joule law characterized by an universal resistance quantum $R_0=h/(2e^2)$ for each spin channel. We show that this law holds in non-interacting as well as in the interacting system and also when the system is spin-polarized. In addition, in the presence of a static magnetic field, the interplay between many-body interactions and spin polarization leads to a non-trivial energy exchange between electrons with different spin components.

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• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving
• Interaction effect on reservoir-parameter-driven adiabatic charge pumping via a single-level quantum dot system
• Role of coherence in quantum-dot-based nanomachines within the Coulomb blockade regime
• Anomalous Joule law in the adiabatic dynamics of a normal-superconductor quantum dot
• Out-of-equilibrium fluctuation-dissipation relations verified by the electrical and thermoelectrical ac-conductances in a quantum dot
• Quantum transport phenomena induced by time-dependent fields
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Nonadiabatic Correction and Adiabatic Criteria of Noninteracting Quantum Dot Systems
• Slave-Spin 1 formulation: A simple approach to time-dependent transport through an interacting two level system