Analytic models for density of a ground-state spinor condensate
arXiv:1507.06883 · doi:10.1103/PhysRevA.92.023616
Abstract
We demonstrate that the ground state of a trapped spin-1 and spin-2 spinor ferromagnetic Bose-Einstein condensate (BEC) can be well approximated by a single decoupled Gross-Pitaevskii (GP) equation. Useful analytic models for the ground-state densities of ferromagnetic BECs are obtained from the Thomas-Fermi approximation (TFA) to this decoupled equation. Similarly, for the ground states of spin-1 anti-ferromagnetic and spin-2 anti-ferromagnetic and cyclic BECs, some of the spin component densities are zero which reduces the coupled GP equation to a simple reduced form. Analytic models for ground state densities are also obtained for anti-ferromagnetic and cyclic BECs from the TFA to the respective reduced GP equations. The analytic densities are illustrated and compared with the full numerical solution of the GP equation with realistic experimental parameters.
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- Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
- Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates
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- Non-adiabatic quantum phase transition in a trapped spinor condensate
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- Multi-component states for trapped spin-1 Bose-Einstein Condensates in the presence of magnetic field
- Ground states and their characterization of spin- Bose-Einstein condensates