Variational theory for the ground state and collective excitations of an elongated dipolar condensate |
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Authors: | P Blair Blakie D Baillie Sukla Pal |
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Institution: | Dodd-Walls Centre for Photonic and Quantum Technologies, New Zealand and Department of Physics, University of Otago, Dunedin 9016, New Zealand |
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Abstract: | We develop a variational theory for a dipolar condensate in an elongated(cigar shaped)confinement potential. Our formulation provides an effective one-dimensional extended meanfield theory for the ground state and its collective excitations. We apply our theory to investigate the properties of rotons in the system comparing the variational treatment to a full numerical solution. We consider the effect of quantum fluctuations on the scattering length at which the roton excitation softens to zero energy. |
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Keywords: | dipolar Bose–Einstein condensate ground states collective excitations |
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