Measurement of the interaction strength in a Bose-Fermi mixture with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">Rb</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>87</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">K</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><

Goldwin, J.; Inouye, S.; Olsen, Michelle L.; Newman, Bonna; DePaola, B. D.; Jin, D. S.

doi:10.1103/physreva.70.021601

Cited by 97 publications

(86 citation statements)

References 34 publications

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“…[18], which however bears large error bars, and it is in reasonable agreement with Ref. [21]. It is otherwise neither consistent with the determination of [19] nor with the observation of a collapse instability in this mixture [27,28].…”

Section: K-rbãs (A0)supporting

confidence: 70%

Feshbach spectroscopy of aK−Rbatomic mixture

et al. 2006

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We perform extensive magnetic Feshbach spectroscopy of an ultracold mixture of fermionic 40 K and bosonic 87 Rb atoms. The magnetic-field locations of 14 interspecies resonances is used to construct a quantum collision model able to predict accurate collisional parameters for all K-Rb isotopic pairs. In particular we determine the interspecies s-wave singlet and triplet scattering lengths for the 40 K-87 Rb mixture as (−111 ± 5)a0 and (−215 ± 10)a0 respectively. We also predict accurate scattering lengths and position of Feshbach resonances for the other K-Rb isotopic pairs. We discuss the consequences of our results for current and future experiments with ultracold K-Rb mixtures.PACS numbers: 34.50. 32.80.Pj; Quantum degenerate atomic mixtures [1,2,3,4,5,6] are promising for the study of a variety of novel physical phenomena, such as production of quantum gases of polar molecules [7], boson-induced superfluidity of fermions [8], and quantum phases of matter in optical lattices [9] or random potentials [10]. The study of these phenomena requires the use of magnetically tunable Feshbach resonances [11] to control the interaction. A detailed knowledge of resonances and collisional parameters is however necessary to achieve such control. Feshbach resonances have been deeply investigated in homonuclear systems, and recently observed also in some heteronuclear mixtures [12,13,14]. However, accurate Feshbach spectroscopy, has been performed so far only on homonuclear systems [15,16,17]. We report here an extensive experimental study of Feshbach resonances in a 40 K-87 Rb mixture. This is used to construct a quantum collisional model able to predict the relevant parameters for all K-Rb isotopic pairs, including both boson-fermion and boson-boson pairs of great experimental interest.In particular this study allows us to determine univocally the scattering lengths for the 40 K-87 Rb mixture, for which contrasting determinations have been reported. The values we find for the singlet a s and triplet a t scattering lengths are (−111 ± 5)a 0 and (−215 ± 10)a 0 , respectively. We also determine high-accuracy values for inter-isotope triplet and singlet scattering lengths for all other K-Rb pairs. In addition, we determine all relevant parameters of Feshbach resonances in the 40 K-87 Rb mixture and demonstrate the presence of several Feshbach resonances in other K-Rb isotopic pairs. Our findings have important consequences for both ongoing and future experiments with K-Rb mixtures.The apparatus and techniques used have already been presented in detail elsewhere [4] and are only briefly summarized here. We prepare samples of typically 10 5 K fermions and 5×10 5 Rb bosons at ultralow temperatures using two successive phases of laser and evaporative cooling. The mixture is magnetically trapped in the states |F = 9/2, m F = 9/2 for K and |2, 2 for Rb. The atomic sample is then adiabatically transferred to a purely optical trap, created by two off-resonance laser beams, at a wavelength of 830 nm, crossing in the horizontal plane. ...

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Section: K-rbãs (A0)supporting

confidence: 70%

Feshbach spectroscopy of aK−Rbatomic mixture

et al. 2006

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“…In recent experiments [13,14] the quantum degenerate mixtures of 40 K and 87 Rb are studied where m B = 87m p , m B = 40m p and ω ⊥ = 215 Hz. Equations (2.1), (2.2) have been studied numerically in [7].…”

Section: Basic Equationsmentioning

confidence: 99%

Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice

Kostov

Gerdjikov

Valchev

2007

SIGMA

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Abstract. We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus k. We also discuss particular cases when the quasiperiodic solutions become periodic ones. In the limit of a sinusoidal potential (k → 0) our solutions model a quasi-one dimensional quantum degenerate BoseFermi mixture trapped in optical lattice. In the limit k → 1 the solutions are expressed by hyperbolic function solutions (vector solitons). Thus we are able to obtain in an unified way quasi-periodic and periodic waves, and solitons. The precise conditions for existence of every class of solutions are derived. There are indications that such waves and localized objects may be observed in experiments with cold quantum degenerate gases.

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“…We now find, for a given trap, the maximum strength of attraction between bosons which still allows for the existence of the stable Bose-Einstein condensate. We look for the minimum of the energy (11). The necessary condition for that turns to the set of following equations for the widths…”

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confidence: 99%

“…where [4,10,11], we included three different values of it. We show also points obtained from numerical integration of a set of equations that are a hydrodynamic version of Eqs.…”

mentioning

confidence: 99%

On the stability of Bose–Fermi mixtures

Karpiuk¹,

Brewczyk²,

Gajda³

et al. 2005

J. Phys. B: At. Mol. Opt. Phys.

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We consider the stability of a mixture of degenerate Bose and Fermi gases. Even though the bosons effectively repel each other the mixture can still collapse provided the Bose and Fermi gases attract each other strongly enough. For a given number of atoms and the strengths of the interactions between them we find the geometry of a maximally compact trap that supports the stable mixture. We compare a simple analytical estimation for the critical axial frequency of the trap with results based on the numerical solution of hydrodynamic equations for Bose-Fermi mixture.

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Measurement of the interaction strength in a Bose-Fermi mixture withRb87andK<

Cited by 97 publications

References 34 publications

Feshbach spectroscopy of aK−Rbatomic mixture

Feshbach spectroscopy of aK−Rbatomic mixture

Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice

On the stability of Bose–Fermi mixtures

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