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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…

Atomic Physics · Physics 2015-05-28 Zbigniew Idziaszek , Andrea Simoni , Tommaso Calarco , Paul S. Julienne

We present a general formulation of multichannel quantum-defect theory (MQDT) for anisotropic long-range potentials. The theory unifies the treatment of atomic and molecular interactions of all types, and greatly expands the set of…

Atomic Physics · Physics 2020-08-19 Bo Gao

We extend the powerful formalism of multichannel quantum defect theory combined with a frame transformation to ultracold atom-molecule collisions in magnetic fields. By solving the coupled-channel equations with hyperfine and Zeeman…

Chemical Physics · Physics 2024-09-10 Masato Morita , Paul Brumer , Timur V. Tscherbul

Multichannel Quantum Defect Theory (MQDT) is shown to be capable of producing quantitatively accurate results for low-energy atom-molecule scattering calculations. With a suitable choice of reference potential and short-range matching…

Atomic Physics · Physics 2015-03-19 James F. E. Croft , Alisdair O. G. Wallis , Jeremy M. Hutson , Paul S. Julienne

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…

Atomic Physics · Physics 2009-11-11 Bo Gao , Eite Tiesinga , Carl J. Williams , 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…

Atomic Physics · Physics 2009-02-13 Zbigniew Idziaszek , Tommaso Calarco , Paul S. Julienne , Andrea Simoni

We study ultracold collisions of ions with neutral atoms in traps. Recently, ultracold atom-ion systems are becoming available in experimental setups, where their quantum states can be coherently controlled. This allows for an…

Quantum Physics · Physics 2010-02-15 Hauke Doerk-Bendig , Zbigniew Idziaszek , Tommaso Calarco

Multichannel quantum defect theory (MQDT) has been widely applied to resonant and non-resonant scattering in a variety of atomic collision processes. In recent years, the method has been applied to cold collisions with considerable success,…

Atomic Physics · Physics 2015-06-22 Jisha Hazra , Brandon P. Ruzic , N. Balakrishnan , John L. Bohn

We show that multichannel quantum defect theory (MQDT) can be applied successfully as an efficient computational method for cold molecular collisions in Li+NH, which has a deep and strongly anisotropic interaction potential. In this…

Chemical Physics · Physics 2013-05-10 James F. E. Croft , Jeremy M. Hutson

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…

Atomic Physics · Physics 2015-06-19 Constantinos Makrides , Bo Gao

We present some of the universal properties in ion-atom interaction derived from a newly formulated quantum-defect theory for $-1/r^4$ type of long-range interactions. For bound states, we present the universal bound spectrum, namely the…

Atomic Physics · Physics 2010-06-04 Bo Gao

We present a multiscale quantum-defect theory (QDT) for two identical atoms in a symmetric harmonic trap that combines the quantum-defect theory for the van der Waals interaction [B. Gao, Phys. Rev. A \textbf{64}, 010701(R) (2001)] at short…

Statistical Mechanics · Physics 2009-11-13 Yujun Chen , 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,…

Other Condensed Matter · Physics 2007-05-23 G. M. Bruun , A. D. Jackson , E. E. Kolomeitsev

Experimental setups that study laser-cooled ions immersed in baths of ultracold atoms merge the two exciting and well-established fields of quantum gases and trapped ions. These experiments benefit both from the exquisite read-out and…

Atomic Physics · Physics 2022-06-30 Rianne S. Lous , Rene Gerritsma

Multichannel quantum defect theory (MQDT) provides a powerful toolkit for describing and understanding collisions of cold alkali atoms. Various MQDT approximations differ primarily in how they characterize the so-called short-ranged…

Atomic Physics · Physics 2023-08-01 Alyson Laskowski , Nirav Mehta

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…

Atomic Physics · Physics 2015-06-12 Brandon P. Ruzic , Chris H. Greene , John L. Bohn

We present a quantum-defect theory (QDT) for the $-1/r^4$ type of long-range potential, as a foundation for a systematic understanding of charge-neutral quantum systems such as ion-atom, ion-molecule, electron-atom, and positron-atom…

Atomic Physics · Physics 2014-02-18 Bo Gao

As a physically motivated and computationally simple model for cold atomic and molecular collisions, the multichannel quantum defect theory (MQDT) with frame transformation (FT) formalism provides an analytical treatment of scattering…

Quantum theory is proposed of high energy electrons scattering in ultrathin crystals. This theory is based upon a special representation of the scattering amplitude in the form of the integral over the surface surrounding the crystal, and…

Accelerator Physics · Physics 2017-03-29 N. F. Shul'ga , S. N. Shulga

We consider a system composed of a trapped atom and a trapped ion. The ion charge induces in the atom an electric dipole moment, which attracts it with an r^{-4} dependence at large distances. In the regime considered here, the…

Quantum Physics · Physics 2009-11-13 Z. Idziaszek , T. Calarco , P. Zoller
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