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Related papers: Universal properties in ultracold ion-atom interac…

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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

Thermal rate coefficients for some atomic collisions have been observed to be remarkably independent of the details of interatomic interactions at short range. This makes these rate coefficients universal functions of the long-range…

Atomic Physics · Physics 2024-12-20 Xuyang Guo , Kirk W. Madison , James L. Booth , Roman V. Krems

We calculate bound and scattering properties of a system of two neutral atoms and an ion near an atom-ion Feshbach resonance. Our results indicate that long-range atom-ion interactions lead to significant deviations from universal behavior…

Atomic Physics · Physics 2025-11-07 Jacek Gȩbala , Michał Tomza , José P. D'Incao

We present a quantum theory of ion-atom interaction that is applicable at energies comparable to or smaller than the atomic hyperfine splitting and takes proper account of the effects of identical nuclei. The theory reveals the subtlety and…

Atomic Physics · Physics 2015-06-18 Ming Li , Li You , Bo Gao

A unique feature of ultracold atoms is the separation of length scales, $r_0\ll k_F^{-1}$, where $k_F$ and $r_0$ are the Fermi momentum characterizing the average particle distance and the range of interaction between atoms respectively.…

Quantum Gases · Physics 2016-02-03 Ming-Yuan He , Shao-Liang Zhang , Hon Ming Chan , Qi Zhou

Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer

We propose a novel experimental method to extend the investigation of ion-atom collisions from the so far studied cold, essentially classical regime to the ultracold, quantum regime. Key aspect of this method is the use of Rydberg molecules…

Atomic Physics · Physics 2018-04-18 T. Schmid , C. Veit , N. Zuber , R. Löw , T. Pfau , M. Tarana , M. Tomza

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

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…

Statistical Mechanics · Physics 2026-03-25 Shangguo Zhu , Shina Tan

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…

Other Condensed Matter · Physics 2017-08-23 Nathan Gemelke , Chen-Lung Hung , Xibo Zhang , Cheng Chin

Using a representation of multichannel quantum defect theory in terms of a quantum Poincar\'e map for bound Rydberg molecules, we apply Jung's scattering map to derive a generalized quantum map, that includes the continuum. We show, that…

Chemical Physics · Physics 2009-09-29 Barbara Dietz , Maurice Lombardi , Thomas H Seligman

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

We study charged particles in three dimensions interacting via a short-range potential in addition to the Coulomb potential. When the Bohr radius and the scattering length are much larger than the potential range, low-energy physics of the…

Nuclear Theory · Physics 2024-12-04 Shunta Mochizuki , Yusuke Nishida

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

An ion and a polar molecule interact by an anisotropic ion-dipole potential scaling as $- \alpha \cos (\theta)/r^2$ at large distances. Due to its long-range character, it modifies the properties of angular wave functions, which are no…

Atomic Physics · Physics 2021-03-03 Tomasz Wasak , Zbigniew Idziaszek

In systems of ultracold atoms, pairwise interactions are resonantly enhanced by the application of an oscillating magnetic field that is parallel to the spin-quantization axis of the atoms. The resonance occurs when the frequency of the…

Quantum Gases · Physics 2016-11-17 D. Hudson Smith

An effective field theory developed for systems interacting through short-range interactions can be applied to systems of cold atoms with a large scattering length and to nucleons at low energies. It is therefore the ideal tool to analyze…

Nuclear Theory · Physics 2013-09-09 L. Platter

Scattering resonances due to the dipole-dipole interaction between ultracold molecules, induced by static or microwave fields, are studied theoretically. We develop a method for coupled-channel calculations that can efficiently impose many…

Quantum Gases · Physics 2023-07-11 Tijs Karman

We establish that two-dimensional dipolar quantum gases admit a universal description, i.e., their thermodynamic properties are independent of details of the interaction at short distances. The only relevant parameters are the dipole length…

Quantum Gases · Physics 2021-02-02 Johannes Hofmann , Wilhelm Zwerger

We present a fully quantum mechanical description of a free $^6$Li atom scattering from a trapped $^{171}$Yb$^+$ ion in one dimension. By reformulating the system in polar coordinates and employing the adiabatic representation, we extract a…

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