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Advances in Differential Equations

On ground state of fractional spinor Bose Einstein condensates

Daomin Cao, Jinchun He, Haoyuan Xu, Meihua Yang

Published Mar 1, 2020• 0 citations
Publisher

Abstract

In this paper, we prove the existence of the positive ground state solution to fractional spin-1 Bose-Einstein condensation(BEC) in one dimension.
DOI
10.57262/ade/1584756036

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In this paper, we prove the existence of the ground state for the spinor Bose-Einstein condensates with the external Ioffe-Pitchard magnetic field in the one-dimensional case. We also characterize the ground states of spin-1 Bose-Einstein condensates with the external Ioffe-Pitchard magnetic field, i.e., for ferromagnetic systems, we show that under some condition, searching for ground state of ferromagnetic spin-1 BEC with the external Ioffe-Pitchard magnetic field can be reduced to a one-component minimization problem. 10.1017/S0004972712000305
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