706 research outputs found
Vortex structures of rotating spin-orbit coupled Bose-Einstein condensates
We consider the quasi-2D two-component Bose-Einstein condensates with Rashba
spin-orbit (SO) coupling in a rotating trap. An external Zeeman term favoring
spin polarization along the radial direction is also considered, which has the
same form as the non-canonical part of the mechanical angular momentum. The
rotating condensate exhibits rich structures as varying the strengths of
trapping potential and interaction. With a strong trapping potential, the
condensate exhibits a half-quantum vortex-lattice configuration. Such a
configuration is driven to the normal one by introducing the external radial
Zeeman field. In the case of a weak trap potential, the condensate exhibits a
multi-domain pattern of plane-wave states under the external radial Zeeman
field.Comment: 8 pages, 7 figures, two figures are adde
Two-component polariton condensate in optical microcavity
We present a scheme for engineering the extended two-component Bose-Hubbard
model using polariton condensate supported by optical microcavity. Compared to
the usual two-component Bose-Hubbard model with only Kerr nonlinearity, our
model includes a nonlinear tunneling term which depends on the number
difference of the particle in the two modes. In the mean field treatment, this
model is an analog to a nonrigid pendulum with a variable pendulum length whose
sign can be also changed. We study the dynamic and ground state properties of
this model and show that there exists a first-order phase transition as the
strength of the nonlinear tunneling rate is varied. Furthermore, we propose a
scheme to obtain the polariton condensate wave function.Comment: 9 pages, 8 figure
Synthetic Landau levels and spinor vortex matter on Haldane spherical surface with magnetic monopole
We present a flexible scheme to realize exact flat Landau levels on curved
spherical geometry in a system of spinful cold atoms. This is achieved by
Floquet engineering of a magnetic quadrupole field. We show that a synthetic
monopole field in real space can be created. We prove that the system can be
exactly mapped to the electron-monopole system on sphere, thus realizing
Haldane's spherical geometry for fractional quantum Hall physics. The scheme
works for either bosons or fermions. We investigate the ground state vortex
pattern for an -wave interacting atomic condensate by mapping this system to
the classical Thompson's problem. We further study the distortion and stability
of the vortex pattern when dipolar interaction is present. Our scheme is
compatible with current experimental setup, and may serve as a promising route
of investigating quantum Hall physics and exotic spinor vortex matter on curved
space.Comment: 11 pages, 4 figure
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