Phase State as a Cooper-Pair Number: Phase Minimum Uncertainty State for Josephson Junction

Hong-Yi Fan · International Journal of Modern Physics B · 2003

Based on Feynman's explanation that a Cooper pair is "a bound pair act as a Bose particle", we propose a bosonic phase operator formalism and a bosonic Hamiltonian model for Josephson junction. The Cooper pair number — phase uncertainty relation is thus established. The corresponding minimum uncertainty state is derived which turns out to be a phase state.

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