Main Equations Describing The SIS Junction
The Josephson equation relates the superconducting current (usually called the supercurrent) through the tunnel junction to the phase difference ,
- (Josephson current-phase relationship)
Here is the critical current of the tunnel junction, determined by the area and thickness of the tunnel barrier in the junction, and by the properties of the superconductors on either side of the barrier. For a junction with identical superconductors on either side of the barrier, the critical current is related to the superconducting gap and the normal state resistance of the tunnel junction by the Ambegaokar-Baratoff formula
- (Ambegaokar-Baratoff formula)
The Gor'kov phase evolution equation gives the rate of change of the phase (the velocity of the phase) as a linear function of the voltage as
- (Gor'kov-Josephson phase evolution equation)
This equation is a generalization of the Schrödinger equation for the phase of the BCS wavefunction (see BCS theory). The generalization was carried out by Gor'kov in 1958.
Read more about this topic: Phase Qubit
Famous quotes containing the words main, describing and/or junction:
“Aggression, the writer’s main source of energy.”
—Ted Solotaroff (b. 1928)
“I am not describing a distant utopia, but the kind of education which must be the great urgent work of our time. By the end of this decade, unless the work is well along, our opportunity will have slipped by.”
—Lyndon Baines Johnson (1908–1973)
“In order to get to East Russet you take the Vermont Central as far as Twitchell’s Falls and change there for Torpid River Junction, where a spur line takes you right into Gormley. At Gormley you are met by a buckboard which takes you back to Torpid River Junction again.”
—Robert Benchley (1889–1945)