Geodesic
Green--Kubo formula for electrical conductivity of a~driven $0$\,--\,$\pi$ qubit
Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 482-494

Voir la notice de l'article provenant de la source Math-Net.Ru

One of the most important paradigms of quantum computation rests on employing the Cooper pair condensate states in a Josephson junction. In using these, the configuration of great current interest is the $0$ – $\pi$ qubit. We present the linear response of this to an external drive by solving the Liouville equation for the phase-space distribution function. Thus, we obtain “Ohm's law” or the expression for electrical conductivity for this system in terms of novel correlation functions. This general result has been tested for the $0$ – $\pi$ qubit parameters that are used in recent experiments.
Keywords: circuit quantum electrodynamics, linear response, topological protection. 
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     title = {Green--Kubo formula for electrical conductivity of a~driven $0$\,--\,$\pi$ qubit},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {482--494},
     publisher = {mathdoc},
     volume = {213},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a5/}
}
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G. Rajpoot; K. Kumari; S. Joshi; S. R. Jain. Green--Kubo formula for electrical conductivity of a~driven $0$\,--\,$\pi$ qubit. Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 482-494. http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a5/