Local temperatures of strongly-correlated quantum dots out of equilibrium

Abstract

Probes that measure the local thermal properties of systems out of equilibrium are emerging as new tools in the study of nanoscale systems. One can then measure the temperature of a probe that is weakly coupled to a bias-driven system. By tuning the probe temperature so that the expectation value of some observable of the system is minimally perturbed, one obtains a parameter that measures its degree of local statistical excitation, and hence its local heating. However, one anticipates that different observables may lead to different temperatures and thus different local heating expectations. We propose an experimentally realizable protocol to measure such local temperatures and apply it to bias-driven quantum dots. By means of a highly accurate open quantum system approach, we show theoretically that the measured temperature is quite insensitive both to the choice of observable and to the probe-system coupling. In particular, even with observables that are distinct both physically and in their degree of locality, such as the local magnetic susceptibility of the quantum dot and the global spin-polarized current measured at the leads, the resulting local temperatures are quantitatively similar for quantum dots ranging from noninteracting to Kondo-correlated regimes, and are close to those obtained with the traditional "local equilibrium" definition.

arXiv comment10 pages, 6 figures

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Cited by in corpus (12)

• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Local Temperatures Out of Equilibrium
• Voltage quench dynamics of a Kondo system
• Local temperature of an interacting quantum system far from equilibrium
• Temperature and voltage measurement in quantum systems far from equilibrium
• Temperature-driven transient charge and heat currents in nanoscale conductors
• Probing the energy reactance with adiabatically driven quantum dots
• The thermodynamic meaning of local temperature of nonequilibrium open quantum systems
• Developing triangular-shaped tiny particles and mono-layer shapes at the air-solution interface, and binding of mono-layers into a particle
• Kondo QED: The Kondo effect and photon trapping in a two-impurity Anderson model ultra-strongly coupled to light
• Effect of quantum resonances on local temperature in nonequilibrium open systems
• Performance of the T-matrix based master equation for Coulomb drag in double quantum dots