# Black-hole lasing in coherently coupled two-component atomic condensates

## TL;DR

This paper theoretically investigates black-hole lasing in a two-component atomic Bose-Einstein condensate, highlighting the dynamical instability onset in the spin excitations within a flowing, coherently coupled system.

## Contribution

It introduces a novel theoretical analysis of black-hole lasing in two-component condensates, emphasizing the role of spin-dependent interactions and experimental feasibility.

## Key findings

- Dynamical instability occurs in the spin branch with a finite supersonic region.
- Both homogeneous and trapped condensate geometries are analyzed.
- Experimental advantages for back-reaction studies are identified.

## Abstract

We theoretically study the black-hole lasing phenomenon in a flowing one-dimensional, coherently coupled two component atomic Bose-Einstein condensate whose constituent atoms interact via a spin-dependent s-wave contact interaction. We show by a numerical analysis the onset of the dynamical instability in the spin branch of the excitations, once a finite supersonic region is created in this branch. We study both a spatially homogeneous geometry and a harmonically trapped condensate. Experimental advantages of the two-component configuration are pointed out, with an eye towards studies of back-reaction phenomena.