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VOLUME 78 | ISSUE 7 | PAGE 915
Quantum Zeno effect in the Cooper-pair transport through a double-island Josephson system
A. Shnirman+, Y. Makhlin+,*

+Institut für Theoretische Festkörperphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany
*L.D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia


PACS: 73.23.Hk, 74.50.+r, 85.25.Cp
Abstract
Motivated by recent experiments, we analyze transport of Cooper pairs through a double-island Josephson qubit. At low bias in a certain range of gate voltages coherent superpositions of charge states play a crucial role. Analysis of the evolution of the density matrix allows us to cover a wide range of parameters, incl. situations with degenerate levels, when dissipation strongly affects the coherent eigenstates. At high noise levels the so-called Zeno effect can be observed, which slows down the transport. Our analysis explains certain features of the I-V curves, in particular the visibility and shape of resonant peaks and lines.


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