Oblique breathers generated by a flow of two-component Bose-Einstein condensate past a polarized obstacle

TL;DR

This paper predicts the formation of oblique breathers in a two-component Bose-Einstein condensate flowing past a polarized obstacle, highlighting the role of interaction differences and polarization modes.

Contribution

It introduces the concept of oblique breathers generated by flow past a polarized obstacle and develops an analytical theory for small-amplitude breathers.

Findings

Oblique breathers are generated under specific interaction conditions.

Analytical theory aligns with numerical simulations.

Polarization mode excitation dominates the breather formation.

Abstract

We predict that oblique breathers can be generated by a flow of two-component Bose-Einstein condensate past a polarized obstacle which attracts one component of the condensate and repels the other one. The breather exists if intra-species interaction constants differ from the inter-species interaction constant and it corresponds to the nonlinear excitation of the so-called polarization mode with domination of the relative motion of the components. Approximate analytical theory is developed for the case of small-amplitude breathers that is in reasonable agreement with the exact numerical results.