quantity

magnetic flux

A measure of the total magnetic field passing through a surface, central to superconducting qubit operation.
9 related articles · 2 formulas

Description

Magnetic flux is a measure of the total magnetic field passing through a given surface area. It is a fundamental concept in electromagnetism, quantifying how much magnetic field lines penetrate a surface. In quantum physics, magnetic flux plays a critical role in phenomena like superconductivity and the operation of superconducting qubits, where the quantization of flux leads to discrete energy levels.

History

The concept of magnetic flux was developed in the 19th century, with Michael Faraday's law of induction relating changes in flux to induced electromotive force. The quantization of flux in superconductors was predicted by Fritz London in 1950 and experimentally confirmed in 1961.

How it works

Mathematically, magnetic flux is the product of the magnetic field strength and the area it passes through, adjusted for the angle between the field and the surface normal. In superconductors, magnetic flux is quantized in units of the flux quantum, meaning it can only take discrete values. This quantization arises from the requirement that the superconducting wavefunction be single-valued, leading to the formation of vortices that carry integer multiples of the flux quantum.

In practice

Magnetic flux is central to the design of superconducting qubits, where the qubit state is controlled by applying precise magnetic flux values, as well as in magnetic sensors and transformers.

Fun fact

In superconducting circuits, magnetic flux can be 'trapped' in loops, and the title 'Металл запирает магнитный поток' highlights how certain metals can lock in flux, a key effect for quantum memory.

Concept graph →

Formulas

$$\Delta Q = \nu \frac{e \Delta \Phi}{\Phi_0}$$
Charge quantization in superconductors relates flux change to accumulated charge.
What is in the formula
\Delta QvariableAccumulated charge change in the superconductor — electric charge coulomb
\Delta \PhivariableChange in magnetic flux through the superconducting loop — magnetic flux weber
\nuvariableFilling factor (integer or fractional) of the quantum Hall state — dimensionless
econstantMagnitude of the electric charge of a single electron or proton — elementary charge = 1.602176634e-19 coulomb
\Phi_0constantSuperconducting flux quantum, h/(2e), the fundamental unit of magnetic flux in a superconductor — magnetic flux quantum = 2.067833848e-15 weber
$$\Phi_0 = \frac{h}{2e}$$
The magnetic flux quantum is the fundamental unit of magnetic flux in superconductors.
What is in the formula
Φ_0variableMagnetic flux quantum — magnetic flux weber
hconstantPlanck constant, the fundamental quantum of action — planck constant = 6.62607015e-34 joule second
econstantElementary charge, the magnitude of charge of a single electron — elementary charge = 1.602176634e-19 coulomb

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