On the theory of vortex quantum tunnelling in the dense Bose superfluid helium II

Details On the theory of vortex quantum tunnelling in the dense Bose superfluid helium II On the theory of vortex quantum tunnelling in the dense Bose superfluid helium II

1998-05-21

arxiv.org/abs/cond-mat/9805272v2

Physica B 255, 41-54 (1998)

Physics

Condensed Matter

25 pages, 6 figures, revised version, to appear in Physica B

Scientific paper

10.1016/S0921-4526(98)00453-0

The quantum tunnelling and nucleation theory of vortices in helium II is reviewed. Arguments are given that the only reliable method to calculate tunnelling probabilities in this highly correlated, strongly interacting many-body system is the semiclassical, large scale approach for evaluation of the tunnelling exponent, which does not make any assumptions about the unknown dynamical behaviour of the fluid on microscopic scales. The geometric implications of this semiclassical theory are represented in some detail and its relevance for the interpretation of experimental data is discussed.

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