# Thermal power of heat flow through a qubit

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**Thermal power of heat flow through a qubit.** / Aurell, Erik; Montana, Federica.

Research output: Contribution to journal › Article › Scientific › peer-review

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*Physical Review E*, vol. 99, no. 4, 042130, pp. 1-14. https://doi.org/10.1103/PhysRevE.99.042130

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*Physical Review E*,

*99*(4), 1-14. [042130]. https://doi.org/10.1103/PhysRevE.99.042130

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TY - JOUR

T1 - Thermal power of heat flow through a qubit

AU - Aurell, Erik

AU - Montana, Federica

PY - 2019/4/19

Y1 - 2019/4/19

N2 - In this paper we consider the thermal power of a heat flow through a qubit between two baths. The baths are modeled as a 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 σz. We compute thermal power in an approximation analogous to a "noninteracting 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.

AB - In this paper we consider the thermal power of a heat flow through a qubit between two baths. The baths are modeled as a 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 σz. We compute thermal power in an approximation analogous to a "noninteracting 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.

UR - http://www.scopus.com/inward/record.url?scp=85064857166&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.99.042130

DO - 10.1103/PhysRevE.99.042130

M3 - Article

VL - 99

SP - 1

EP - 14

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

M1 - 042130

ER -

ID: 33653395