2013
DOI: 10.1103/physreva.87.025601
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Two-dimensional dipolar Bose gas with the roton-maxon excitation spectrum

Abstract: We discuss fluctuations in a dilute two-dimensional Bose-condensed dipolar gas, which has a rotonmaxon character of the excitation spectrum. We calculate the density-density correlation function, fluctuation corrections to the chemical potential, compressibility, and the normal (superfluid) fraction. It is shown that the presence of the roton strongly enhances fluctuations of the density, and we establish the validity criterion of the Bogoliubov approach. At T = 0 the condensate depletion becomes significant i… Show more

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Cited by 64 publications
(131 citation statements)
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“…The field operator of noncondensed particles transforms aŝ ψ(r) = (1/V ) kâ k e ik.r with V being the system volume, and the DDI potential takes the formṼ d (k) = C dd (3 cos 2 θ k − 1)/3 [1,23], where the vector k represents the momentum transfer imparted by the collision.…”
Section: Uniform Casementioning
confidence: 99%
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“…The field operator of noncondensed particles transforms aŝ ψ(r) = (1/V ) kâ k e ik.r with V being the system volume, and the DDI potential takes the formṼ d (k) = C dd (3 cos 2 θ k − 1)/3 [1,23], where the vector k represents the momentum transfer imparted by the collision.…”
Section: Uniform Casementioning
confidence: 99%
“…If the DDI vanishes (h 3 (ǫ dd = 0) = 1), the validity criterion of the theory becomes √ n c a 3 (1 + g 3 n c /g 2 ) 3/2 ≪ 1 at T = 0, and (T /g 2 n c ) √ n c a 3 (1 + g 3 n c /g 2 ) −1/2 ≪ 1 at T ≪ g 2 n c . Corrections to the chemical potential due to the quantum and thermal fluctuations are given by [23,25] …”
Section: Uniform Casementioning
confidence: 99%
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“…(1) corresponds to the kinetic energy, the third one to the contact three-body repulsion (g 3 > 0), and the two-body interaction Hamiltonian H 2 at low energies can be substituted by an effective momentumdependent (pseudo)potential (see, e.g., Ref. [35])…”
mentioning
confidence: 99%
“…Rotonization of the spectrum implies a dynamical instability [23,26,27]. In the frame of the model (6) the system would collapse [28].…”
mentioning
confidence: 99%