Information-theoretical approach to Josephson tunneling
J. Aliaga, Hilda A. Cerdeira, A. N. Proto, D. Otero
DOI 10.1103/PhysRevB.40.4375 · Physical Review B
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Abstract
A simplified Hamiltonian model of pair tunneling between two weakly coupled superconductors is used to obtain the ac Josephson current. A closed operator algebra is defined through commutation with the Hamiltonian. With the use of information theory, we find a subalgebra (quasi-angular-momentum operators) that allows us to obtain naturally the dependence of the Josephson current on the phase, as well as a geometric interpretation of the phase. The quasi-spin algebra permits us to find a consistent solution for the imbalance of charge without resorting to further constraints.
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