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Variational theory for the ground state and collective excitations of an elongated dipolar condensate

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arxiv 2004.09859 v2 pith:7AIZ5XSC submitted 2020-04-21 cond-mat.quant-gas

P. Blair Blakie , D. Baillie , Sukla Pal This is my paper
classification cond-mat.quant-gas
keywords theoryvariationalcollectivecondensatedipolarelongatedexcitationsground
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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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