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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 213, Number 3, Pages 482–494
DOI: https://doi.org/10.4213/tmf10305 (Mi tmf10305) 		 
Green–Kubo formula for electrical conductivity of a driven $0$ – $\pi$ qubit

G. Rajpoota, K. Kumaria, S. Joshia, S. R. Jainabc

a Theoretical Nuclear Physics and Quantum Computing Section, Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, India
b Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, India
c UM-DAE Centre for Excellence in Basic Sciences, University of Mumbai, India
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DOI: https://doi.org/10.4213/tmf10305
Abstract: 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.
Received: 27.04.2022
Revised: 30.05.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 213, Issue 3, Pages 1727–1737
DOI: https://doi.org/10.1134/S0040577922120066
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Document Type: Article
Language: Russian
Citation: G. Rajpoot, K. Kumari, S. Joshi, S. R. Jain, “Green–Kubo formula for electrical conductivity of a driven $0$ – $\pi$ qubit”, TMF, 213:3 (2022), 482–494; Theoret. and Math. Phys., 213:3 (2022), 1727–1737
Citation in format AMSBIB
\Bibitem{RajKumJos22}
\by G.~Rajpoot, K.~Kumari, S.~Joshi, S.~R.~Jain
\paper Green--Kubo formula for electrical conductivity of a~driven $0$\,--\,$\pi$ qubit
\jour TMF
\yr 2022
\vol 213
\issue 3
\pages 482--494
\mathnet{http://mi.mathnet.ru/tmf10305}
\crossref{https://doi.org/10.4213/tmf10305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538879}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...213.1727R}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 213
\issue 3
\pages 1727--1737
\crossref{https://doi.org/10.1134/S0040577922120066}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85144865483}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:24
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