Simulation of single-qubit gates in spin-orbit coupled Bose-Einstein condensate with cubic-quintic nonlinearity by nonlinear perturbations

Fuente: arXiv
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Autori principali: Ghosh, Prithwish, Dey, Kajal Krishna, Sekh, Golam Ali
Natura: Preprint
Pubblicazione: 2026
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author Ghosh, Prithwish
Dey, Kajal Krishna
Sekh, Golam Ali
author_facet Ghosh, Prithwish
Dey, Kajal Krishna
Sekh, Golam Ali
contents We consider spin-orbit coupled Bose-Einstein condensates with cubic-quintic nonlinear interaction within the framework of second quantization formulation and find eigen states using numerical simulation and mean-field approximation. We show that two low-lying Schrodinger cat states remain degenerate up to a certain value of Raman coupling strength and these states can serve as qubit basis. We take three different nonlinear perturbations and find that the perturbations can result in different rotations of qubit state on Bloch sphere. We calculate the unitary operator corresponding to each perturbation and suggest the possibilities for obtaining various gates in ultra-cold atomic system.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26282
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Simulation of single-qubit gates in spin-orbit coupled Bose-Einstein condensate with cubic-quintic nonlinearity by nonlinear perturbations
Ghosh, Prithwish
Dey, Kajal Krishna
Sekh, Golam Ali
Quantum Gases
We consider spin-orbit coupled Bose-Einstein condensates with cubic-quintic nonlinear interaction within the framework of second quantization formulation and find eigen states using numerical simulation and mean-field approximation. We show that two low-lying Schrodinger cat states remain degenerate up to a certain value of Raman coupling strength and these states can serve as qubit basis. We take three different nonlinear perturbations and find that the perturbations can result in different rotations of qubit state on Bloch sphere. We calculate the unitary operator corresponding to each perturbation and suggest the possibilities for obtaining various gates in ultra-cold atomic system.
title Simulation of single-qubit gates in spin-orbit coupled Bose-Einstein condensate with cubic-quintic nonlinearity by nonlinear perturbations
topic Quantum Gases
url https://arxiv.org/abs/2603.26282