Condensed Matter Physics, 2013, vol. 16, No. 3, p. 33801:1-11
DOI:10.5488/CMP.16.33801           arXiv:1111.3671

Title: Merging diabolical points of a superconducting circuit
Author(s):
  R. Leone (Statistical Physics Group, Institut Jean Lamour, UMR CNRS 7198, Université de Lorraine, BP 70239, F-54506 Vand\oe uvre-lès-Nancy Cedex, France) ,
  A. Monjou (Statistical Physics Group, Institut Jean Lamour, UMR CNRS 7198, Université de Lorraine, BP 70239, F-54506 Vand\oe uvre-lès-Nancy Cedex, France)

We present the first theoretical study of the merging of diabolical points in the context of superconducting circuits. We begin by studying an analytically solvable four-level model which may serve as theoretical pattern for such a phenomenon. Then, we apply it to a circuit named Cooper pairs pump, whose diabolical points are already known.

Key words: Cooper pairs pump, diabolical points, degeneracies, merging
PACS: 85.25.Cp, 74.50.+r, 74.78.Na, 03.67.-a


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