Bose-Einstein condensation of correlated atoms in a trap

Moustakidis, Ch. C.; Massen, S. E.

doi:10.1103/physreva.65.063613

Cited by 8 publications

(10 citation statements)

References 39 publications

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“…If the parameter ρa 3 s is essentially increased, then interparticle correlations could become important and even the whole picture based on the local interaction, involving just a scattering length, could turn invalid. Correlations become crucial, making the simple mean-field approximation unreliable, already at ρa s ∼ 10 −2 [54,236]. Feshbach resonances, first, were observed in BoseEinstein condensates of 85 Rb, near the magnetic field B 0 = 160 G with width ∆B = −6 G [237], and of 23 Na, near B 0 = 907 G with ∆B = 1 G [238].…”

Section: Particle Correlationsmentioning

confidence: 99%

Principal problems in Bose-Einstein condensation of dilute gases

2004

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A survey is given of the present state of the art in studying Bose-Einstein condensation of dilute atomic gases. The bulk of attention is focused on the principal theoretical problems, though the related experiments are also mentioned. Both uniform and nonuniform trapped gases are considered. Existing theoretical contradictions are critically analysed. A correct understanding of the principal theoretical problems is necessary for gaining a more penetrating insight into experiments with trapped atoms and for their proper interpretation.Comment: Brief review, 53 pages, 2 figure

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Section: Particle Correlationsmentioning

confidence: 99%

Principal problems in Bose-Einstein condensation of dilute gases

2004

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“…Under the spontaneously broken gauge symmetry, the poles of the first-order and second-order Green functions coincide, that is, the single-particle spectrum coincides with the spectrum of collective excitations ε k [65,100]. For the latter, the necessary condition of condensate existence (2.117) translates into lim 121) with the condition n k ≥ 0 becoming the stability condition…”

Section: Condensate Existencementioning

confidence: 99%

“…For a strongly interacting system, atomic correlations can be rather important [10,[119][120][121][122]. But for dilute gases, the influence of correlations can be taken into account through defining an effective scattering length a s .…”

Section: Equations Of Motionmentioning

confidence: 99%

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Cold bosons in optical lattices

2009

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Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate are formulated. Theoretical methods for describing regular periodic lattices are presented. A special attention is paid to the discussion of Bose-atom properties in the frame of the boson Hubbard model. Optical lattices with arbitrary strong disorder, induced by random potentials, are treated. Possible applications of cold atoms in optical lattices are discussed, with an emphasis of their usefulness for quantum information processing and quantum computing.

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“…In particular, we propose a measure of the molecular condensate fraction and apply it to few-fermion systems with up to N = 6 atoms. Related analyses have previously been pursued for bosonic gases [49][50][51] and one-dimensional systems [52][53][54], but we are not aware of analogous studies for trapped three-dimensional twocomponent Fermi gases.…”

Section: Introductionmentioning

confidence: 99%

Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction

Blume¹,

Daily²

2011

Comptes Rendus. Physique

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We investigate small equal-mass two-component Fermi gases under external spherically symmetric confinement in which atoms with opposite spins interact through a short-range two-body model potential. We employ a non-perturbative microscopic framework, the stochastic variational approach, and determine the system properties as functions of the interspecies s-wave scattering length as, the orbital angular momentum L of the system, and the numbers N1 and N2 of spin-up and spin-down atoms (with N1 − N2 = 0 or 1 and N ≤ 6, where N = N1 + N2). At unitarity, we determine the energies of the five-and six-particle systems for various ranges r0 of the underlying two-body model potential and extrapolate to the zero-range limit. These energies serve as benchmark results that can be used to validate and assess other numerical approaches. We also present structural properties such as the pair distribution function and the radial density. Furthermore, we analyze the one-body and two-body density matrices. A measure for the molecular condensate fraction is proposed and applied. Our calculations show explicitly that the natural orbitals and the momentum distributions of atomic Fermi gases approach those characteristic for a molecular Bose gas if the s-wave scattering length as, as > 0, is sufficiently small.

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Bose-Einstein condensation of correlated atoms in a trap

Cited by 8 publications

References 39 publications

Principal problems in Bose-Einstein condensation of dilute gases

Principal problems in Bose-Einstein condensation of dilute gases

Cold bosons in optical lattices

Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction

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