Schematic structure of the phase separated states (a) and (b). The shaded region, in which all three components are nonzero, extends over approximately one spin healing length or magnetic healing length , whichever is greater. The relative size of the domains is indicated by the arrows. The corresponding wave function profiles obtained numerically with periodic boundary conditions in the case of for with (c) and (d). The , , and components are indicated by dash-dotted, dashed, and dotted curves, respectively. The solid lines represent the total density.
Ground state phase diagram of the polar condensate. The symbols correspond to numerical data obtained for the parameters of , with solid triangles representing 2C, open circles and open squares . The solid lines and shading correspond to the analytical formulas from Table I.
Ground state profiles in a harmonic trap potential. Phase separation occurs in a polar condensate when the magnetic field strength is increased from , (a) to , (b) and , (c). As a comparison, the ground state of a condensate is shown for , (d). The , , and components are indicated by dash-dotted, dashed, and dotted curves, respectively. The solid lines represents the total density. The other parameters are , , , , and .
Creation of spin domains by applying a magnetic field. The magnetic field is gradually increased from zero to its final value over (a, d), over (b,e), and over (c,f). The left column shows the time dependence of the atom density in the initially unoccupied component, and the right column shows the final domain profiles. In the last case, corresponding to nonadiabatic switching, multiple domains are formed. Other parameters are as in Fig. 3.
Ground states of spin-1 condensates in a homogenous magnetic field. The states and correspond to phase separation (see Fig. 1).
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