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Starting from a multichannel quantum-defect theory, we derive analytic descriptions of a magnetic Feshbach resonance in an arbitrary partial wave $l$, and the atomic interactions around it. An analytic formula, applicable to both broad and…

原子物理 · 物理学 2011-08-17 Bo Gao

We develop an analytical model for ultracold atom-ion collisions using the multichannel quantum-defect formalism. The model is based on the analytical solutions of the r^-4 long-range potential and on the application of a frame…

原子物理 · 物理学 2015-05-28 Zbigniew Idziaszek , Andrea Simoni , Tommaso Calarco , Paul S. Julienne

Feshbach resonances in ultracold collisions often result from an interplay between many collision channels. Simple two-channel models can be introduced to capture the basic features, but cannot fully reproduce the situation when several…

原子物理 · 物理学 2013-11-07 Krzysztof Jachymski , Paul S. Julienne

Low dimensional behavior of two ultra-cold atoms trapped in two-and one-dimensional waveguides is investigated in the vicinity of a magnetic Feshbach resonance. A quantitative two-channel model for the Feshbach mechanism is used allowing an…

量子气体 · 物理学 2015-04-17 Tom Kristensen , Ludovic Pricoupenko

Magnetically tunable scattering resonances have been used with great success for precise control of s-wave scattering lengths in ultracold atomic collisions. We describe relatively simple yet quite powerful analytic treatments of such…

原子物理 · 物理学 2009-11-13 Paul S. Julienne , Bo Gao

A low energy effective theory based on a microscopic multi-channel description of the atom-atom interaction is derived for the scattering of alkali atoms in different hyperfine states. This theory describes all scattering properties,…

其他凝聚态物理 · 物理学 2007-05-23 G. M. Bruun , A. D. Jackson , E. E. Kolomeitsev

Experimental studies with ultracold atoms have enabled major breakthroughs in understanding three-body physics, historically a fundamental yet challenging problem. This is because the interactions among ultracold atoms can be precisely…

原子物理 · 物理学 2014-11-05 Yujun Wang , Paul S. Julienne

We have developed a model of Feshbach resonances in gases of ultracold alkali metal atoms using the ideas of multichannel quantum defect theory. Our model requires just three parameters describing the interactions - the singlet and triplet…

其他凝聚态物理 · 物理学 2009-04-30 Thomas M. Hanna , Eite Tiesinga , Paul S. Julienne

We study atom-ion scattering in the ultracold regime. To this aim, an analytical model based on the multichannel quantum defect formalism is developed and compared to close-coupled numerical calculations. We investigate the occurrence of…

原子物理 · 物理学 2009-02-13 Zbigniew Idziaszek , Tommaso Calarco , Paul S. Julienne , Andrea Simoni

It is well-known that cold atoms near s-wave Feshbach resonances have universal properties that are insensitive to the short-range details of the interaction. What is less known is that atoms near higher partial wave Feshbach resonances…

统计力学 · 物理学 2026-03-25 Shangguo Zhu , Shina Tan

We observe new Feshbach resonances in ultracold mixtures of $^{85}$Rb and $^{87}$Rb atoms in the $^{85}$Rb$|2, +2\rangle$+$^{87}$Rb$|1, +1\rangle$ and $^{85}$Rb$|2, -2\rangle$+$^{87}$Rb$|1, -1\rangle$ scattering channels. The positions and…

量子气体 · 物理学 2016-12-09 Shen Dong , Yue Cui , Chuyang Shen , Yewei Wu , Meng Khoon Tey , Li You , Bo Gao

We investigate the behaviour of single-channel theoretical models of cold and ultracold collisions that take account of inelastic and reactive processes using a single parameter to represent short-range loss. We present plots of the…

原子物理 · 物理学 2017-09-19 Matthew D. Frye , Paul S. Julienne , Jeremy M. Hutson

We develop an effective low energy theory for multi-channel scattering of cold atomic alkali atoms with particular focus on Feshbach resonances. The scattering matrix is expressed in terms of observables only and the theory allows for the…

其他凝聚态物理 · 物理学 2009-05-01 G. M. Bruun

We present a multichannel quantum-defect theory for magnetic Feshbach resonances in the interaction of two heteronuclear group I atoms. The theory provides a unified and a uniform description of resonances in all partial waves, and enables…

原子物理 · 物理学 2015-06-19 Constantinos Makrides , Bo Gao

We extend Multichannel Quantum Defect Theory (MQDT) to ultracold collisions involving high partial wave quantum numbers $L$. This requires a careful standardization of the MQDT reference wave functions at long range to ensure their linear…

原子物理 · 物理学 2015-06-12 Brandon P. Ruzic , Chris H. Greene , John L. Bohn

A universal characterization of interactions in few- and many-body quantum systems is often possible without detailed description of the interaction potential, and has become a defacto assumption for cold atom research. Universality in this…

其他凝聚态物理 · 物理学 2017-08-23 Nathan Gemelke , Chen-Lung Hung , Xibo Zhang , Cheng Chin

Progress in ultracold experiments with polar molecules requires a clear understanding of their interactions and reactivity at ultra-low collisional energies. Two important theoretical steps in this process are the characterization of…

原子物理 · 物理学 2015-05-18 Svetlana Kotochigova

We present a multichannel quantum-defect theory for slow atomic collisions that takes advantages of the analytic solutions for the long-range potential, and both the energy and the angular-momentum insensitivities of the short-range…

原子物理 · 物理学 2009-11-11 Bo Gao , Eite Tiesinga , Carl J. Williams , Paul S. Julienne

Compared to purely atomic collisions, ultracold collisions involving molecules have the potential to support a much larger number of Fano-Feshbach resonances due to the huge amount of ro-vibrational states available. In order to handle such…

原子物理 · 物理学 2015-06-04 Michael Mayle , Brandon P. Ruzic , John L. Bohn

We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-wave pseudopotential with an energy-dependent…

原子物理 · 物理学 2013-05-29 Zbigniew Idziaszek
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