Bose-Einstein Condensates with Derivative and Long-Range Interactions as Set-Ups for Analog Black Holes

Abstract

General types of Bose-Einstein condensates are considered. The formation of black-hole analogues is examined for both short- and long-range interactions for arbitrary spatial dimensions greater than two. The former case includes non-linear derivative terms plus an inevitable external potential, while the latter one consists solely of gravity-like self-interactions for which intrinsic formation of analogue Schwarzschild-type background space-times is possible. The corresponding geometries are studied, and it is shown how they can be made stable. Their Hawking temperature is estimated, and it is found that in certain set-ups it can be significantly increased, thus providing better detectability.

Comments: 8 pages; 4 figures; v2: changes to match published version