Tunneling of Cooper pairs across voltage biased asymmetric single-Cooper-pair transistors
arXiv:cond-mat/0604092 · doi:10.1103/PhysRevB.74.054504
Abstract
We analyze tunneling of Cooper pairs across voltage biased asymmetric single-Cooper-pair transistors. Also tunneling of Cooper pairs across two capacitively coupled Cooper-pair boxes is considered, when the capacitive coupling and Cooper pair tunneling are provided by a small Josephson junction between the islands. The theoretical analysis is done at subgap voltages, where the current-voltage characteristics depend strongly on the macroscopic eigenstates of the island(s) and their coupling to the dissipative environment. As the environment we use an impedance which satisfies Re[Z]<<R_Q and a few LC-oscillators in series with Z. The numerically calculated I-V curves are compared with experiments where the quantum states of mesoscopic SQUIDs are probed with inelastic Cooper pair tunneling. The main features of the observed I-V data are reproduced. Especially, we find traces of band structure in the higher excited states of the Cooper-pair boxes as well as traces of multiphoton processes between two Cooper-pair boxes in the regime of large Josephson coupling.
arXiv comment9 pages, 9 figures, Revtex4
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Cited by in corpus (7)
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- Effect of decoherence on resonant Cooper-pair tunneling in a voltage-biased single-Cooper-pair transistor
- Inelastic scattering of microwave radiation in the dynamical Coulomb blockade
- Two-tone spectroscopy of high-frequency quantum circuits with a Josephson emitter