Many-Body Analysis of the Hess-Fairbank Effect in One-Dimensional Bose-Einstein Condensates with Attractive Interactions

Abstract

In terms of the many-body energy spectrum obtained by a diagonalization of Hamiltonian, we discuss the Hess-Fiarbank effect in an attractive Bose-Einstein condensate on a one-dimensional ring. Depending on the strength of interaction and the rotational frequency of the container, there exist two characteristic features in the spectrum. We argue that the existence of a regime of a huge number of low-lying levels causes the smearing of the plateau of the quantized circulation in contrast to conventional superfluids with repulsive interaction.