Magnetic polarization of quantum vortices in He II

Abstract

The weak magnetic polarization which a quantum vortex in a superfluid Bose liquid acquires as a result of the mutual electric polarization of atoms and the nonuniform distribution of the atomic density in its core is discussed. A rectilinear single-quantum vortex carries a magnetic moment directed along and proportional to the length of the vortex line. The magnetic moment density per unit length and the corresponding quantum of magnetic flux (vortex fluxoid) are directly related with the quantum circulation of the superfluid flow in the vortex. Numerical estimates of this effect are presented for vortices in He II.

Vortices in spin-0 superfluids carry magnetic flux

“…Comparing our EFT result (16) and the result (2) of our earlier discussion based on the flexo-electric effect, one sees that the two expressions (for dilute systems where ∆n ≈ n ≈ n s ) coincide when the undetermined…”

“…More generally, any configuration with the topology of a superfluid vortex will necessarily carry a non-vanishing magnetic flux. A configuration of ν well-separated vortices will have total flux which is just ν time the minimal value (16).…”

A study of the electric response of He II at the excitation of second sound waves

“…The experiments of Ref. [3,4] stimulated a large number of theoretical studies and suggested various theoretical explanations for this phenomenon [5,6,7,8,9,10,11,12]. For instance, in Ref.…”

Two approaches to the description of dilute superfluid Bose systems

“…One possible way to describe microscopically the observed effects is the application of Zubarev's method to these systems (phenomenological approaches to the problem can be found in the theoretical studies Refs. [7][8][9][10][11][12][13][14][15][16]. For dilute Bose systems, for which a consistent microscopic theory can only be built, the main result can be obtained by replacing the field operators in the i-th excited state with C-numbers.…”