Abstract
The quantum system associated with a resistor-shunted weak-link junction circuit may be described in terms of a single Lagrangian. In this representation the degrees of freedom internal to the dissipative energy of the resistor can be systematically separated from the Hamiltonian formulation of the circuit. This allows us to solve the quantum states of the junction while the effects of the resistor on the circuit are included as a Lagrangian multiplier. In this manner the effects of the measuring apparatus or resistor on the quantum state of the junction may be calculable. The calculations are in very good agreement with experiments.
Keywords
resistor shunted weak link junction circuit, quantum circuit theory, Lagrangian, YBaCuO, weak link bridges
Subject Categories
Quantum theory, Grain boundaries
Disciplines
Electromagnetics and photonics | Other Electrical and Computer Engineering
Publisher
American Physical Society
Publication Date
1-1-1994
Rights Information
Copyright 1994 American Physical Society
Rights Holder
American Physical Society
Permanent URL
Recommended Citation
How, H.; Jiang, H.; Widom, A.; and Vittoria, C., "Quantum circuit-theory and measurements on YBaCuO grain-boundary weak-link bridges" (1994). Electrical and Computer Engineering Faculty Publications. Paper 110. http://hdl.handle.net/2047/d20002281
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Included in
Electromagnetics and photonics Commons, Other Electrical and Computer Engineering Commons
Notes
Originally published in Physical Review B 49, 1403-1406 (1994). doi 10.1103/PhysRevB49.1403 (http://link.aps.org/doi/10.1103/PhysRevB49.1403).