Ultracold Atom-Atom Collisions in a Nonresonant Laser Field

Melezhik, Vladimir S.; Hu, Chi-Yu

doi:10.1103/physrevlett.90.083202

Cited by 37 publications

(38 citation statements)

References 20 publications

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“…Our model might be extended to the cases of fermions or distinguishable atom scattering, including transverse excitation/diexcitation processes [8]. It permits also for the investigation of other trap geometries [48] and more realistic interatomic interactions.…”

Section: Discussionmentioning

confidence: 99%

Shifts and widths of Feshbach resonances in atomic waveguides

2012

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We develop and analyze a theoretical model which yields the shifts and widths of Feshbach resonances in an atomic waveguide. It is based on a multichannel approach for confinement-induced resonances (CIRs) and atomic transitions in the waveguides in the multimode regime. We replace in this scheme the single-channel scalar interatomic interaction by the four-channel tensorial potential modeling resonances of broad, narrow and overlapping character according to the two-channel parametrization of A.D.Lange et. al. [35]. As an input the experimentally known parameters of Feshbach resonances in the absence of the waveguide are used. We calculate the shifts and widths of s-, d-and g-wave magnetic Feshbach resonances of Cs atoms emerging in harmonic waveguides as CIRs and resonant enhancement of the transmission at zeros of the free space scattering length. We have found the linear dependence of the width of the resonance on the longitudinal atomic momentum and quadratic dependence on the waiveguide width. Our model opens novel possibilities for quantitative studies of the scattering processes in ultracold atomic gases in waveguides beyond the framework of s-wave resonant scattering.

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Section: Discussionmentioning

confidence: 99%

Shifts and widths of Feshbach resonances in atomic waveguides

2012

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“…To this end, we employ the computational scheme described in Ref. [40], which has been successfully applied to the atom-atom [41][42][43] as well as to the dipole-dipole confined scattering [44,45].…”

Section: Problem Formulationmentioning

confidence: 99%

Confinement-induced resonances in ultracold atom-ion systems

Melezhik

Negretti

2016

Phys. Rev. A

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We investigate confinement-induced resonances in a system composed by a tightly trapped ion and a moving atom in a waveguide. We determine the conditions for the appearance of such resonances in a broad region -from the "long-wavelength" limit to the opposite case when the typical length scale of the atom-ion polarisation potential essentially exceeds the transverse waveguide width. We find considerable dependence of the resonance position on the atomic mass which, however, disappears in the "long-wavelength and zero-energy" limit, where the known result for the confined atom-atom scattering is reproduced. We also derive an analytic and a semi-analytic formula for the resonance position in the "long-wavelength and zero-energy" limit and we investigate numerically how the position of the resonance is affected by a finite atomic colliding energy. Our results, which can be investigated experimentally in the near future, could be used to determine the atom-ion scattering length, the temperature of the atomic ensemble in the presence of an ion impurity, and to control the atom-phonon coupling in a linear ion crystal in interaction with a quasi one dimensional atomic quantum gas.

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“…The present computational scheme to solve for Ψ(t) is a four dimensional extension of a three dimensional method originally developed to treat, among others, bound-bound and bound-continuum transitions for atomic systems in external fields [26,27,28]. In this scheme, an angular basis f j (θ, φ) is constructed on the grid (θ j , φ j ) using the exponentials e imφ and the Legendre function P m l (θ), such that the only non-diagonal terms are the angular parts of the kinetic energy operators, namely, L 2 /2µr 2 and −∂ 2 φ /2Mρ 2 R .…”

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confidence: 99%

Suppression of Quantum Scattering in Strongly Confined Systems

Kim¹,

2006

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We demonstrate that scattering of particles strongly interacting in three dimensions (3D) can be suppressed at low energies in a quasi-one dimensional (1D) confinement. The underlying mechanism is the interference of the s-and p-wave scattering contributions with large s-and p-wave 3D scattering lengths being a necessary prerequisite. This low-dimensional quantum scattering effect might be useful in "interacting" quasi-1D ultracold atomic gases, guided atom interferometry and impurity scattering in strongly confined quantum wire-based electronic devices.

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Ultracold Atom-Atom Collisions in a Nonresonant Laser Field

Cited by 37 publications

References 20 publications

Shifts and widths of Feshbach resonances in atomic waveguides

Shifts and widths of Feshbach resonances in atomic waveguides

Confinement-induced resonances in ultracold atom-ion systems

Suppression of Quantum Scattering in Strongly Confined Systems

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