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Dynamics of vector solitons in condensates of Bose-Einstein with spin-orbit interaction

Cesar Antonio Ibañez FLORIAN

Published Mar 8, 2019• 0 citations
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Abstract

Submitted by Sheila MONTEIRO (sheila.monteiro@ufma.br) on 2019-10-09T20:29:44Z No. of bitstreams: 1 CESAR-FLORIAN.pdf: 26123609 bytes, checksum: be0106c93e4bb6d8feda964e8cc01dd8 (MD5)

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Recently, research of solitons in Bose–Einstein condensates has become a popular topic. Here, we mainly study exact analytical solutions of Gross–Pitaevskii equations describing spin-orbit coupled spin-1 Bose–Einstein condensates. To begin with, we show the analytical relation between different types of one-dimensional spin-orbit coupling and Zeeman effect. In addition, we find a transformation that can simplify the three-component Gross–Pitaevskii equations with spin-orbit coupling into the nonlinear Schrödinger equation. The abundant stripe phase and dynamic characteristics of the system are investigated.