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

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.

arXiv comment9 pages, 5 figures

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Cited by in corpus (27)

• Pattern Formation in Quantum Ferrofluids: from Supersolids to Superglasses
• Supersolidity in an elongated dipolar condensate
• Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
• Density Fluctuations across the Superfluid-Supersolid Phase Transition in a Dipolar Quantum Gas
• Supersolidity and crystallization of a dipolar Bose gas in an infinite tube
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• Numerical calculation of dipolar quantum droplet stationary states
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• How to realise a homogeneous dipolar Bose gas in the roton regime
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• Quantum fluctuations in one-dimensional supersolids
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• Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
• Measurement of the excitation spectrum of a dipolar gas in the macrodroplet regime
• Hyperspherical approach to dipolar Bose-Einstein condensates beyond the mean-field limit
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• Quasiparticle projection method for dynamically unstable Bose-Einstein condensates
• Optical response of the supersolid polaron