Defining the effective temperature of a quantum driven system from current-current correlation functions

Abstract

We calculate current-current correlation functions and find an expression for the zero-frequency noise of multiterminal systems driven by harmonically time-dependent voltages within the Keldysh non-equilibrium Green's functions formalism. We also propose a fluctuation-dissipation relation for current-current correlation functions to define an effective temperature. We discuss the behavior of this temperature and compare it with the local temperature determined by a thermometer and with the effective temperature defined from a single-particle fluctuation-dissipation relation. We show that for low frequencies all the definitions of the temperature coincide.

11 pages, 5 figures

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• Heat current control in trapped BEC
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• Effect of quantum resonances on local temperature in nonequilibrium open systems
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