Low-energy atomic collision with dipole interactions

Deb, Bimalendu; You, Li

doi:10.1103/physreva.64.022717

Cited by 62 publications

(67 citation statements)

References 26 publications

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“…Threshold laws for various power-law long-range potentials have been written about extensively in the past [28,29,30,31,32,33,34,35,36,37,38,39,40,41]. In this section we summarize the main results relevant to the energy dependence of cross sections, using the first Born approximation to make the math transparent.…”

Section: Threshold Laws In the Born Approximationmentioning

confidence: 99%

Ultracold collisions of fermionic OD radicals

Авдеенков

Bohn

2005

Phys. Rev. A

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We discuss consequences of Fermi exchange symmetry on collisions of polar molecules at low temperatures (below 1 K), considering the OD radical as a prototype. At low fields and low temperatures, Fermi statistics can stabilize a gas of OD molecules against state-changing collisions. We find, however, that this stability does not extend to temperatures high enough to assist with evaporative cooling. In addition, we establish that a novel "field-linked" resonance state of OD dimers exists, in analogy with the similar states predicted for bosonic OH.

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Section: Threshold Laws In the Born Approximationmentioning

confidence: 99%

Ultracold collisions of fermionic OD radicals

Авдеенков

Bohn

2005

Phys. Rev. A

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“…Such states will, however, contribute rotational Feshbach resonances in realistic collisions. The isotopomer 16 O 1 H that we consider here has a nuclear spin of I = 1/2, which with a half-integer rotational quantum number defines the OH molecule as a boson. Thus we should take into account hyperfine structure to ensure the proper Bose symmetry.…”

Section: Oh Moleculementioning

confidence: 99%

“…The dipole-dipole interaction, which scales with intermolecular separation R as 1/R 3 , renders cold molecule collisions completely different from cold atom collisions. This is because a 1/R 3 interaction is characterized by energy-independent low energy cross sections in all partial waves, not just in s-waves [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Collisional dynamics of ultracold OH molecules in an electrostatic field

2002

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Ultracold collisions of polar OH molecules are considered in the presence of an electrostatic field. The field exerts a strong influence on both elastic and state-changing inelastic collision rate constants, leading to clear experimental signatures that should help disentangle the theory of cold molecule collisions.Based on the collision rates we discuss the prospects for evaporative cooling of electrostatically trapped OH. We also find that the scattering properties at ultralow temperatures prove to be remarkably independent of the details of the short-range interaction, owing to avoided crossings in the long-range adiabatic potential curves. The behavior of the scattering rate constants is qualitatively understood in terms of a novel set of long-range states of the [OH] 2 dimer.

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“…We model the shortrange interaction V sr ( r) between the dipoles by a simplistic hardwall potential, V sr ( r) = ∞ for r < r c and 0 for r > r c , so that the full model potential is given by V m ( r) = V sr ( r) for r < r c and V dd ( r) for r > r c . The boundary condition imposed by r c can be thought of as introducing a short-range K-matrix, which is modified by the long-range dipole potential [9]. The characteristic length scale of V sr ( r) is given by the hardcore radius r c and that of V dd ( r) by the dipole length D * , D * = µd 2 / 2 , where µ denotes the reduced mass.…”

mentioning

confidence: 99%

“…This ratio can be tuned experimentally by varying D * through the application of an electric field [9].…”

mentioning

confidence: 99%

Low-energy resonances and bound states of aligned bosonic and fermionic dipoles

Kanjilal

Blume

2008

Phys. Rev. A

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The low-energy scattering properties of two aligned identical bosonic and identical fermionic dipoles are analyzed. Generalized scattering lengths are determined as functions of the dipole moment and the scattering energy. Near resonance, where a new bound state is being pulled in, all non-vanishing generalized scattering lengths diverge, with the a 00 and a 11 scattering lengths being dominant for identical bosons and identical fermions, respectively, near both broad and narrow resonances. Implications for the energy spectrum and the eigenfunctions of trapped two-dipole systems and for pseudo-potential treatments are discussed. PACS numbers: 34.10.+x Currently, the creation of ultracold heteronuclear ground state molecules poses one of the major experimental challenges in the field of ultracold physics [1]. The trapping of ultracold ground state molecules with large phase space density promises to allow an exciting array of novel research lines to be studied. Although the largest phase space density of ultracold ground state molecules achieved to date is still fairly small, a number of promising cooling schemes have been demonstrated [2]. Thus, it is expected that degenerate molecular gases with large electric dipole moment will be created in the laboratory in the near future. Polar molecules are a candidate for qubits in quantum computing [3] and may be used in high precision measurements that aim at placing yet stricter limits on the electric dipole moment of the electron [4]. Furthermore, dipolar gases are predicted to show roton-like features [5] and to exhibit rich stability diagrams whose details depend on the trapping geometry [6]. The stability of dipolar atomic Cr condensates has recently been investigated experimentally. To enhance the anisotropic effects, which are due to Cr's magnetic dipole moment, the s-wave scattering length was tuned to zero by applying an external field in the vicinity of a Fano-Feshbach resonance [7].To create and then utilize ultracold molecules, it is mandatory to develop a detailed understanding of the scattering properties of two interacting dipoles in free space and in a trap. Unlike the interaction between s-wave alkali atoms, the interaction between two dipoles is long-range and angledependent. A two-dipole system can, e.g., be realized experimentally by loading an optical lattice with either two or zero dipoles per site. If the optical lattice is sufficiently deep and if the interaction between nearest and next to nearest neighbors are absent or negligible, then each optical lattice site can be treated as an independent approximately harmonic trap. This paper determines the scattering properties of two aligned dipoles, either identical bosons or identical fermions, as functions of the dipole moment and the scattering energy. In general, the dipoles can either be magnetic or electric. For concreteness, we restrict our discussion in the following to the scattering between molecular electric dipoles. Sequences of scattering resonances, which can be classified as "broad...

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Low-energy atomic collision with dipole interactions

Cited by 62 publications

References 26 publications

Ultracold collisions of fermionic OD radicals

Ultracold collisions of fermionic OD radicals

Collisional dynamics of ultracold OH molecules in an electrostatic field

Low-energy resonances and bound states of aligned bosonic and fermionic dipoles

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