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Sandbox Physics
Cold liquids and superconducting order

Materials · Measurements · Explanation

Josephson’s prediction: phase could drive a zero-voltage current

What was new about a supercurrent through an insulating barrier?

  1. Couple two superconductors

  2. Set a relative phase

  3. Predict pair current

  4. Test current, voltage and magnetic interference

A superconducting phase difference is a collective circuit variable. Its response requires more than a single-electron transmission probability.

The prediction concerned coherent pair transfer

Josephson predicted in 1962 that two weakly coupled superconductors could carry a phase-dependent supercurrent without a dc voltage. The electrodes possess collective phase coherence, so the coupling has consequences beyond quasiparticle tunneling.

Experiments soon tested zero-voltage current, magnetic interference and voltage–frequency relations. The 1973 award recognized the theoretical prediction as its own contribution.

Sources: [1]

Phase and voltage are linked

In the simplest sinusoidal junction, phase sets the pair current. A voltage causes phase to advance in time. A steady voltage can consequently produce an oscillating supercurrent, with frequency set by the pair charge and Planck’s constant.

Is=Icsin⁡φ,dφdt=2eVℏI_{\mathrm s}=I_{\mathrm c}\sin\varphi,\qquad\frac{d\varphi}{dt}=\frac{2eV}{\hbar}

Sources: [1]

A loop adds magnetic interference

Two junctions in a superconducting loop constrain their phase differences through magnetic flux. Their currents combine constructively or destructively, producing a periodic flux response. Inductance, junction asymmetry and noise modify the ideal pattern.

Sources: [1]

Different circuit Labs ask different questions

The SQUID Lab examines loop interference, the switching Lab examines escape from a biased state, and the Transmon Lab examines bound energy levels. They share Josephson coupling but have different geometries, controls and evidence. None substitutes for all the others.

Sources: [1][2]

Sources and reading notes

  1. Josephson: The discovery of tunneling supercurrents (1973)

    The phase-dependent pair current, voltage-driven phase evolution and subsequent experimental tests.

  2. Nobel Prize in Physics 1973: official award

    Official attribution and award year. The observation or theoretical paper may be much earlier.

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