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Related papers: Multichannel quantum defect theory of strontium bo…

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Using the reactance matrix approach, we systematically develop new multichannel quantum defect theory models for the singlet and triplet S, P, D and F states of strontium based on improved energy level measurements. The new models reveal…

Atomic Physics · Physics 2014-07-17 C L Vaillant , M P A Jones , R M Potvliege

The multichannel quantum defect theory (MQDT) in combination with the frame transformation (FT) approach is applied to model the Fano-Feshbach resonances measured for $^{7}$Li$^{87}$Rb and $^{6}$Li$^{87}$Rb [Marzok {\it et al.} Phys. Rev. A…

Atomic Physics · Physics 2015-05-20 Jesús Pérez-Ríos , Sourav Dutta , Yong P. Chen , Chris H. Greene

The complex Rydberg structure of ytterbium atoms is shaped by multiple low-lying ion-core-excited states and strong channel interactions, which presents both opportunities and challenges for quantum information processing and precision…

Atomic Physics · Physics 2025-07-16 Rin Kuroda , Vernon M. Hughes , Martin Poitrinal , Michael Peper , Jeff D. Thompson

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 present a multiscale quantum-defect theory based on the first analytic solution for a two-scale long range potential consisting of a Coulomb potential and a polarization potential. In its application to atomic structure, the theory…

Atomic Physics · Physics 2016-10-25 Haixiang Fu , Mingzhe Li , Meng Khoon Tey , Li You , Bo Gao

In this work, Rydberg energy levels of the triatomic hydrogen molecule ($\rm{H_3}$) are studied with multichannel quantum-defect theory. We extract the body-frame p-wave quantum defects from highly accurate \emph{ab initio} electronic…

Quantum Physics · Physics 2015-05-19 Jia Wang , Chris H. Greene

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

The Siegert states are approached in framework of Bloch-Lane-Robson formalism for quantum collisions. The Siegert state is not described by a pole of Wigner R- matrix but rather by the equation $1- R_{nn}L_n = 0$, relating R- matrix element…

Atomic Physics · Physics 2016-07-27 C. Hategan , R. A. Ionescu , H. H. Wolter

The transformation introduced by Giusti-Suzor and Fano and extended by Lecomte and Ueda for the study of resonance structures in the multichannel quantum defect theory (MQDT) is used to reformulate MQDT into the forms having one-to-one…

Atomic Physics · Physics 2009-11-07 Chun-Woo Lee

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 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 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

The multichannel quantum defect theory (MQDT) can be reinterpreted as a quantum Poincare map in representation of angular momentum. This has two important implications: we have a paradigm of a true quantum Poincare map without…

chao-dyn · Physics 2016-08-31 F. Leyvraz , R. A. Mendez-Sanchez , M. Lombardi , T. H. Seligman

The Python functions distributed with this article can be used for calculating the parameters of multichannel quantum defect theory models describing excited bound states of complex atoms. These parameters are obtained by fitting a model to…

Atomic Physics · Physics 2024-09-20 R. M. Potvliege

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…

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 report on the atom loss spectroscopy of strontium Rydberg atoms in a magneto-optical trap, using a two-photon excitation scheme through the intermediate state $5\mathrm{s}5\mathrm{p} \, ^3\mathrm{P}_1$. Energies of the…

The new formulation of the theory of multichannel scattering on the example of collinear model is proposed. It is shown, that in the closed three-body scattering system the principle of quantum determinism in general case breaks down and we…

Quantum Physics · Physics 2007-05-23 Alexander V. Bogdanov , Ashot S. Gevorkyan

We observe the formation of long-range Cs$_2$ Rydberg molecules consisting of a Rydberg and a ground-state atom by photoassociation spectroscopy in an ultracold Cs gas near 6s$_{1/2}$($F$=3,4)$\rightarrow$np$_{3/2}$ resonances (n=26-34).…

Atomic Physics · Physics 2015-06-23 Heiner Saßmannshausen , Frédéric Merkt , Johannes Deiglmayr
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