Ground states of trapped spin-1 condensates in magnetic field

Abstract

We consider a spin-1 Bose-Einstein condensate trapped in a harmonic potential under the influence of a homogeneous magnetic field. We investigate spatial and spin structure of the mean-field ground states under constraints on the number of atoms and the total magnetization. We show that the trapping potential can make the antiferromagnetic condensate separate into three, and ferromagnetic condensate into two distinct phases. In the ferromagnetic case, the magnetization is located in the center of the harmonic trap, while in the antiferromagnetic case magnetized phases appear in the outer regions. We describe how the transition from the Thomas-Fermi regime to the single-mode approximation regime with decreasing number of atoms results in the disappearance of the domains. We suggest that the ground states can be created in experiment by adiabatically changing the magnetic field strength.

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• Analytic models for density of a ground-state spinor condensate
• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Dynamics of the modified Kibble-Żurek mechanism in antiferromagnetic spin-1 condensates
• Thermal fluctuations and quantum phase transition in antiferromagnetic Bose-Einstein condensates
• Spin-1 bosons in an external magnetic field and a three body interaction potential
• A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field
• Spin domains in ground state of a trapped spin-1 condensate: A general study under Thomas-Fermi approximation
• Non-adiabatic quantum phase transition in a trapped spinor condensate
• Spin distillation cooling of ultracold Bose gases