Measurement scheme of the Berry phase in superconducting circuits

Mikko Möttönen, Jukka P. Pekola, Juha J. Vartiainen, Valentina Brosco, and Frank W. J. Hekking
Phys. Rev. B 73, 214523 – Published 26 June 2006

Abstract

We present a measurement scheme for observing the Berry phase in a flux assisted Cooper pair pump—the Cooper pair sluice. In contrast to the recent experiments, in which the sluice was employed to generate accurate current through a resistance, we consider a device in a superconducting loop. This arrangement introduces a connection between the pumped current and the Berry phase accumulated during the adiabatic pumping cycles. From the adiabaticity criterion, we derive equations for the maximum pumped current and optimize the sluice accordingly. These results apply also to the high accuracy pumping which results in a potential candidate for a metrological current standard. For measuring the pumped current, an additional Josephson junction is installed into the superconducting loop. We show in detail that the switching of this system from superconducting state into normal state as a consequence of an external current pulse through it may be employed to probe the pumped current. To our knowledge the experimental realization of our scheme would be the first observation of the Berry phase in superconducting circuits.

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  • Received 7 April 2006

DOI:https://doi.org/10.1103/PhysRevB.73.214523

©2006 American Physical Society

Authors & Affiliations

Mikko Möttönen*

  • Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 3500, FI-02015 TKK, Finland and Laboratory of Physics, Helsinki University of Technology, P.O. Box 4100, FI-02015 TKK, Finland

Jukka P. Pekola and Juha J. Vartiainen

  • Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 3500, FI-02015 TKK, Finland

Valentina Brosco

  • NEST-CNR-INFM & Dipartimento di Fisica, Universitá di Pisa, largo E. Fermi, I-56100 Pisa, Italy

Frank W. J. Hekking

  • LPMMC, CNRS, and Université Joseph Fourier, Bôite Postale 166, 38042 Grenoble Cedex 9, France

  • *Electronic address: mikko.mottonen@tkk.fi

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Vol. 73, Iss. 21 — 1 June 2006

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