Thermal power of heat flow through a qubit

Abstract

In this paper we consider thermal power of a heat flow through a qubit between two baths. The baths are modeled as set of harmonic oscillators initially at equilibrium, at two temperatures. Heat is defined as the change of energy of the cold bath, and thermal power is defined as expected heat per unit time, in the long-time limit. The qubit and the baths interact as in the spin-boson model, i.e. through qubit operator ${\sigma }_z$. We compute thermal power in an approximation analogous to `non-interacting blip' (NIBA) and express it in the polaron picture as products of correlation functions of the two baths, and a time derivative of a correlation function of the cold bath. In the limit of weak interaction we recover known results in terms of a sum of correlation functions of the two baths, a correlation functions of the cold bath only, and the energy split.

arXiv comment17 pages, several appendices with technical details

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• Colloquium: Quantum heat transport in condensed matter systems
• Strong coupling effects in quantum thermal transport with the reaction coordinate method
• Photonic heat rectification in a coupled qubits system
• Numerically "exact" simulations of a quantum Carnot cycle: Analysis using thermodynamic work diagrams
• Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach
• Photonic heat transport across a Josephson junction
• Large Deviations and Fluctuation Theorem for the Quantum Heat Current
• Heat currents in qubit systems