Blatter, Quantum metrology with a transmon qutrit, Phys. We also determine the electric and heat currents flowing through the system and present some numerical results, using random matrix theory, showing that the statistical average currents are governed by Ohm and Fourier laws. This leads to expressions for the temperature and chemical potential profiles along the system, which turn out to be independent of the distribution describing the reservoirs. we fix the boundary values (TL, µL) and (TR, µR), and adjust the parameters (Ti, µi), for i = 1., N, so that the net electric and heat currents through all the intermediate reservoirs vanish. Then we impose the self-consistency condition, i.e. In the linear response regime, and under some assumptions, we first describe the general transport properties of the system. All these reservoirs are independent and can be described by any of the standard physical distributions: Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein. Additionally, the left and right ends of the chain are coupled to two particle reservoirs. The system consists of a chain of N quantum dots, each of them being coupled to a particle reservoir. We introduce a model for charge and heat transport based on the Landauer-Büttiker scattering approach. we fix the boundary values (TL,µL) and (TR,µR), and adjust the parameters (Ti,µi), for i = 1.,N, so that the net electric and heat currents through all the intermediate reservoirs vanish. We also determine the average electric and heat currents flowing through the system and present some numerical results, using random matrix theory, showing that these currents are typically governed by Ohm and Fourier laws. This condition leads to expressions for the temperature and chemical potential profiles along the system, which turn out to be independent of the distribution describing the reservoirs. we fix the boundary values (TL,µL) and (TR,µR), and adjust the parameters (Ti,µi), for i = 1.,N, so that the net average electric and heat currents into all the intermediate reservoirs vanish.
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