Feshbach resonances in mixtures of ultracold<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Li</mml:mi><mml:mprescripts /><mml:none /><mml:mn>6</mml:mn></mml:mmultiscripts></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Rb</mml:mi><mml:mprescripts /><mml:none /><mml:mn>87</mml:mn></mml:mmultiscripts></mml:math>gases

Deh, B.; Marzok, C.; Zimmermann, C.; Courteille, Ph. W.

doi:10.1103/physreva.77.010701

Cited by 85 publications

(94 citation statements)

References 40 publications

(47 reference statements)

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“…Experiments with ultra-cold gases in the one-dimensional (1D) and quasi-1D traps have been recently performed [1,11,12,13], amid the rapidly growing interest to the investigation of mixtures of ultra-cold gases [14,15,16,17,18,19,20]. Different aspects of the three-body dynamics in 1D have been analyzed in a number of recent papers, e. g., the bound-state spectrum of two-component compound in [21], low-energy three-body recombination in [22], application of the integral equations in [23], and variants of the hyperradial expansion in [24,25,26].…”

Section: Introductionmentioning

confidence: 99%

Bound states and scattering lengths of three two-component particles with zero-range interactions under one-dimensional confinement

Kartavtsev

Malykh

Sofianos

2009

J. Exp. Theor. Phys.

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The universal three-body dynamics in ultra-cold binary gases confined to one-dimensional motion are studied. The three-body binding energies and the (2 + 1)-scattering lengths are calculated for two identical particles of mass m and a different one of mass m 1 , which interactions is described in the low-energy limit by zero-range potentials. The critical values of the mass ratio m/m 1 , at which the three-body states arise and the (2 + 1)-scattering length equals zero, are determined both for zero and infinite interaction strength λ 1 of the identical particles. A number of exact results are enlisted and asymptotic dependences both for m/m 1 → ∞ and λ 1 → −∞ are derived.Combining the numerical and analytical results, a schematic diagram showing the number of the three-body bound states and the sign of the (2 + 1)-scattering length in the plane of the mass ratio and interaction-strength ratio is deduced. The results provide a description of the homogeneous and mixed phases of atoms and molecules in dilute binary quantum gases.

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Section: Introductionmentioning

confidence: 99%

Bound states and scattering lengths of three two-component particles with zero-range interactions under one-dimensional confinement

Kartavtsev

Malykh

Sofianos

2009

J. Exp. Theor. Phys.

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“…FRs between different alkaline species have been identified for a variety of Bose-Bose [18][19][20][21], Bose-Fermi mixtures [22][23][24][25][26][27][28] as well as for the Fermi-Fermi mixture of 6 Li-40 K [29]. While the broad intraspecies FRs in 133 Cs [30,31] and 6 Li [32][33][34][35][36] are well-explored, until * weidemueller@uni-heidelberg.de now, only little is known about the interspecies interaction properties of Li and Cs.…”

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Observation of interspecies6Li-133Cs Feshbach resonances

et al. 2013

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We report on the observation of nineteen interspecies Feshbach resonances in an optically trapped ultracold Bose-Fermi mixture of 133 Cs and 6 Li in the two energetically lowest spin states. We assign the resonances to s-and p-wave molecular channels by a coupled-channels calculation, resulting in an accurate determination of LiCs ground state potentials. Fits of the resonance position based on the undressed Asymptotic Bound State model do not provide the same level of accuracy as the coupled-channels calculation. Several broad s-wave resonances provide prospects to create fermionic LiCs molecules with a large dipole moment via Feshbach association followed by stimulated Raman passage. Two of the s-wave resonances overlap with a zero crossing of the Cs scattering length which offers prospects for the investigation of polarons in an ultracold Li-Cs mixture. [4][5][6], which gives access to the study of many-body physics, quantum chemistry and precision measurements [7,8]. With a permanent electric dipole moment of 5.5 Debye [9,10], the largest among all alkali-metal dimers, a system of LiCs molecules in their energetically lowest states [11] is considered to be an excellent candidate for the investigation of dipolar quantum gases [12]. Another application of the precise tunability close to a FR is the study of Efimov trimers [13]. The large mass ratio of m Cs /m Li = 22 results in an advantageous universal scaling factor of 4.88 instead of 22.7 as found for a system of equal masses [14], resulting in excellent conditions for observing a series of several Efimov resonances, which, so far, has not been achieved. Interspecies FR can be also used to control the interaction between an impurity and a Bose-Einstein Condensate (BEC). Such a system can directly be mapped to the Fröhlich polaron Hamiltonian [15][16][17], which describes the interaction of an electron gas with the charged lattice atoms in a crystal. As the excitations in a Bose-Einstein condensate represent the lattice phonons, a FR allows the precise adjustment of the modeled phonon-electron coupling strength α, thus allowing one to explore fundamental solid-state systems.FRs between different alkaline species have been identified for a variety of Bose-Bose [18][19][20][21] Cs were studied by means of thermalization measurements at zero magnetic field [40], however, the tunability of the interspecies scattering properties via tuning the magnetic field has yet remained unexplored. Here, we report on the observation of nineteen interspecies loss features in different spin channels of an optically trapped 6 Li -133 Cs mixture, by scanning a homogeneous magnetic field (Feshbach spectroscopy). The magnetic field positions and widths of the observed FRs are analyzed in a full coupled-channels calculation, allowing a consistent assignment of the resonances.We have realized an all-optical preparation scheme to simultaneously trap an ultracold 6 Li -133 Cs mixture with a magnetic field control up to 1300 G by sequentially transferring Li and Cs atoms into an optic...

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“…For an energy 50 Hz above the threshold of the entrance channel which is well in the s-wave scattering regime the MC solution was calculated for different magnetic fields B in [16]. For B < 1500 G two s-wave resonances occur, a broad one at B = 1066, 917 G which was also observed experimentally [17], and a narrow one at B = 1282.576 G. The dependence of the scattering length a sc on the magnetic field strength is shown in Fig. 1.…”

Section: Introductionmentioning

confidence: 95%

Two-channel model of photoassociation in the vicinity of a Feshbach resonance

Schneider

Sáenz

2009

Phys. Rev. A

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We derive the two-channel (TC) description of the photoassociation (PA) process in the presence of a magnetic Feshbach resonance and compare to full coupled multi-channel calculations for the scattering of 6 Li-87 Rb. Previously derived results [P. Pellegrini et al., Phys. Rev. Lett. 101, 053201 (2008)] are corrected. The PA process is shown to be fully described by two parameters: the maximal transition rate and the point of vanishing transition rate. The TC approximation reproduces excellently the PA transition rates of the full multi-channel calculation and reveals, e.g., that the enhancement of the rate at a resonance is directly connected to the position of vanishing rate. For the description of two independent resonances it was found that only three parameters completely characterize the PA process.

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Feshbach resonances in mixtures of ultracoldLi6andRb87gases

Cited by 85 publications

References 40 publications

Bound states and scattering lengths of three two-component particles with zero-range interactions under one-dimensional confinement

Bound states and scattering lengths of three two-component particles with zero-range interactions under one-dimensional confinement

Observation of interspecies6Li-133Cs Feshbach resonances

Two-channel model of photoassociation in the vicinity of a Feshbach resonance

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