Generation of linear waves in the flow of Bose-Einstein condensate past an obstacle

TL;DR

This paper develops a theoretical framework for understanding linear wave patterns generated when a Bose-Einstein condensate flows past an obstacle, aligning well with numerical simulations and experimental observations.

Contribution

It introduces a new theoretical model for linear wave structures in BEC flow past obstacles, extending understanding of wave formation and amplitude dependence.

Findings

The shape of wave crests is characterized.

Amplitude dependence on coordinates is quantified.

The theory aligns with previous numerical and experimental results.

Abstract

The theory of linear wave structures generated in Bose-Einstein condensate flow past an obstacle is developed. The shape of wave crests and dependence of amplitude on coordinates far enough from the obstacle are calculated. The results are in good agreement with the results of numerical simulations obtained earlier. The theory gives a qualitative description of experiments with Bose-Einstein condensate flow past an obstacle after condensate's release from a trap.