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Multichannel scattering and Feshbach resonances: Effective theory, phenomenology, and many-body effects
Title Multichannel scattering and Feshbach resonances: Effective theory, phenomenology, and many-body effects Author info G. M. Bruun, A. D. Jackson, Evgeni E. Kolomeitsev Author Bruun G. M. (34%)
Co-authors Jackson A. D. (33%)
Kolomeitsev Evgeni E. 1970- (33%)
Source document Physical Review A : covering atomic, molecular, and optical physics and quantum information. Vol. 71, no. 5 (2005), pp. 2713-2713. - Maryland : American Physical Society, 2005 Keywords atómová fyzika cold atoms T-matrix Language English Country United States of America systematics 539.1 Annotation A low-energy effective theory based on a microscopic multichannel description of the atom-atom interaction is derived for the scattering of alkali-metal atoms in different hyperfine states. This theory describes all scattering properties, including medium effects, in terms of the singlet and triplet scattering lengths and the range of the atom-atom potential and provides a link between a microscopic description of Feshbach scattering and more phenomenological approaches. It permits the calculation of medium effects on the resonance coming from the occupation of closed channel states. The examination of such effects is demonstrated to be of particular relevance to an experimentally important Feshbach resonance for 40K atoms. We analyze a recent rethermalization rate experiment on 40K and demonstrate that a measurement of the temperature dependence of this rate can determine the magnetic moment of the Feshbach molecule. Finally, the energy dependence of the Feshbach interaction is shown to introduce a negative effective range inversely proportional to the width of the resonance. Since our theory is based on a microscopic multichannel picture, it allows the explicit calculation of corrections to commonly used approximations such as the neglect of the effective range and the treatment of the Feshbach molecule as a point boson Public work category ADC No. of Archival Copy 26412 Repercussion category ZHU, Shangguo - TAN, Shina. Universality in s-wave and higher partial-wave Feshbach resonances : an illustration with a single atom near two scattering centers. In Physical review A. ISSN 1050-2947, 2013, vol. 87, no. 6, art. no. 063029.
SORENSEN, Peder K. - FEDOROV, Dmitri V. - JENSEN, Aksel S. Three-body recombination rates near a Feshbach resonance within a two-channel contact interaction model. In Few-body systems. ISSN 0177-7963, 2013, vol. 54, no. 5-6, pp. 579-590.
SORENSEN, Peder K. - FEDOROV, Dmitri V. - JENSEN, Aksel S. Three-body recombination with two-channel contact interactions. In Few-body systems. ISSN 0177-7963, 2013, vol. 54, no. 5-6, pp. 591-595.
ZINNER, N.T. Efimov trimers near the zero-crossing of a Feshbach resonance. In Few-body systems. ISSN 0177-7963, 2013, vol. 54, no. 5-6, pp. 597-603.
FEDOROV, D.V. - JENSEN, A.S. Two-channel Skyrme-Hartree-Fock model for Bose-Einstein condensate near Feshbach resonance. In Few-body systems. ISSN 0177-7963, 2013, vol. 54, no. 5-6, pp. 619-627.
ZHU, Guojun - LEGGETT, Anthony J. BEC-BCS crossover with Feshbach resonance for a three-hyperfine-species model. In Physical review A. ISSN 1050-2947, 2013, vol. 87, no. 2, art. no. 023627.
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QI, Ran - ZHAI, Hui. Highly polarized Fermi gases across a narrow Feshbach resonance. In Physical review A. ISSN 1050-2947, 2012, vol. 85, no. 4, art. no. 041603.
MASSIGNAN, P. Polarons and dressed molecules near narrow Feshbach resonances. In EPL. ISSN 0295-5075, 2012, vol. 98, no. 1, art. no. 10012.
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DE SILVA, Theja N. Density profiles and density oscillations of an interacting three-component normal Fermi gas. In Journal of physics B : atomic molecular and optical physics. ISSN 0953-4075, 2010, vol. 43, no. 3, art. no. 035301.
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BLACKLEY, Caroline L. - JULIENNE, Paul S. - HUTSON, Jeremy M. Effective-range approximations for resonant scattering of cold atoms. In Physical review A. ISSN 1050-2947, 2014, vol. 89, no. 4, art. no. 042701.
DYKE, P. - POLLACK, S.E. - HULET, R.G. Finite-range corrections near a Feshbach resonance and their role in the Efimov effect. In Physical review A. ISSN 1050-2947, 2013, vol. 88, no. 2, art. no. 023625.
FETTER, Alexander L. Quantum gases finite temperature and non-equilibrium dynamics foreword. In Quantum gases : finite temperature and non-equilibrium dynamics. Singapore : World scientific publishing, 2013. ISBN 978-1-848168-12-1.
HE, Lianyi - HU, Hui - LIU, Xia-Ji. Two-band description of resonant superfluidity in atomic Fermi gases. In Physical review A. ISSN 1050-2947, 2015, vol. 91, no. 2, art. no. 023622.
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