# Quantum dark soliton (qubits) in Bose Einstein condensates

## TL;DR

This paper explores the use of dark solitons in Bose-Einstein condensates as qubits, analyzing their spectrum, coupling with phonons, and potential for quantum information applications, with estimated lifetimes of several seconds.

## Contribution

It introduces a novel approach to create and analyze qubits using dark solitons in Bose-Einstein condensates, including their spectral properties and decoherence mechanisms.

## Key findings

- Qubit lifetime estimated at a few seconds.
- Conditions for dark soliton-based qubits identified.
- Coupling between phonons and solitons characterized.

## Abstract

We study the possibility of using dark soliton in quasi one dimensional Bose Einstein condensates to produce two level system (qubits) by exploiting the intrinsic nonlinear and the coherent nature of the matter waves. We calculate the soliton spectrum and the conditions for a qubit to exist. We also compute the coupling between the phonons and the soliton and investigate the emission rate of the qubits in that case. Remarkably, the qubit lifetime is estimated to be of the order of a few seconds, being by the dark soliton "death" due to quantum evaporation.