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

Understand

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.