Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Analyzing Feshbach resonances: A Li6−Cs133 case study

R. Pires, M. Repp, Juris Ulmanis, E. D. Kuhnle, Matthias Weidemüller, T. G. Tiecke, Chris H. Greene, Brandon Ruzic, John L. Bohn, E. Tiemann

Published Jul 30, 2014• 26 citations
Publisher

Abstract

A comprehensive comparison of a coupled-channel calculation, the asymptotic bound-state model, and the multichannel quantum-defect theory is made and is quantitatively compared to experimentally observed Feshbach resonances in a Li-Cs system.
DOI
10.1103/physreva.90.012710

Related papers

Multichannel quantum defect theory model of Feshbach resonances

Thomas M. Hanna, Eite Tiesinga, Paul S. Julienne

Bulletin of the American Physical Society•Mar 18, 2009•0 citations

Analyzing Feshbach resonances -- A $^6$Li -$^{133}$Cs case study

R. Pires, Repp, Marc, Juris Ulmanis +7 more

We provide a comprehensive comparison of a coupled channels calculation, the asymptotic bound state model (ABM), and the multichannel quantum defect theory (MQDT). Quantitative results for $^6$Li -$^{133}$Cs are presented and compared to previously measured $^6$Li -$^{133}$Cs Feshbach resonances (FRs) [M. Repp et al., Phys. Rev. A 87 010701(R) (2013)]. We demonstrate how the accuracy of the ABM can be stepwise improved by including magnetic dipole-dipole interactions and coupling to a non-dominant virtual state. We present a MQDT calculation, where magnetic dipole-dipole and second order spin-orbit interactions are included. A frame transformation formalism is introduced, which allows the assignment of measured FRs with only three parameters. All three models achieve a total rms error of < 1G on the observed FRs. We critically compare the different models in view of the accuracy for the description of FRs and the required input parameters for the calculations.

arXiv:1406.0477•Jun 2, 2014•3 citations

Analyzing Feshbach resonances: A [superscript 6]Li-[superscript 133]Cs case study

R. Pires, M. Repp, Juris Ulmanis +7 more

We provide a comprehensive comparison of a coupled channel calculation, the asymptotic bound-state model (ABM), and the multichannel quantum defect theory (MQDT). Quantitative results for [superscript 6]Li-[superscript 133]Cs are presented and compared to previously measured [superscript 6]Li-[superscript 133]Cs Feshbach resonances (FRs) [Repp et al., Phys. Rev. A 87, 010701(R) (2013)]. We demonstrate how the accuracy of the ABM can be stepwise improved by including magnetic dipole-dipole interactions and coupling to a nondominant virtual state. We present a MQDT calculation, where magnetic dipole-dipole and second-order spin-orbit interactions are included. A frame transformation formalism is introduced, which allows the assignment of measured FRs with only three parameters. All three models achieve a total rms error of <1G on the observed FRs. We critically compare the different models in view of the accuracy for the description of FRs and the required input parameters for the calculations.

Physical Review Letters•Jul 1, 2014•0 citations

Investigations of Feshbach Resonances in Bosonic and Fermionic Lithium

Guthrie B. Partridge, Kevin E. Strecker, Andrew G. Truscott +2 more

APS•May 1, 2002•0 citations

Experimental study of Lithium-6 close to Feshbach resonances

Frédéric Chevy, J. McKeever, Junliang Zhang +8 more

Bulletin of the American Physical Society•May 19, 2005•0 citations

Quantum defect theory description of weakly bound levels and Feshbach resonances in LiRb

Jesús Pérez‐Ríos, Sourav Dutta, Yong P Chen +1 more

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 et al (2009 Phys. Rev. A 79 012717 ). The MQDT results show a level of accuracy comparable to that of previous models based on direct, fully numerical solutions of the the coupled channel Schrödinger equations. Here, energy levels deduced from 2-photon photoassociation (PA) spectra for 7 Li 85 Rb are assigned by applying the MQDT approach, obtaining the bound state energies for the coupled channel problem. Our results confirm that MQDT yields a compact description of PA observables as well as the Fano–Feshbach resonance positions and widths.

arXiv:1412.4295•New Journal of Physics•Apr 27, 2015•7 citations
Analyzing Feshbach resonances -- A 6^66Li -133^{133}133Cs case study
We provide a comprehensive comparison of a coupled channels calculation, the asymptotic bound state model (ABM), and the multichannel quantum defect theory (MQDT). Quantitative results for 6^66Li -133^{133}133Cs are presented and compared to previously measured 6^66Li -133^{133}133Cs Feshbach resonances (FRs) [M. Repp et al., Phys. Rev. A 87 010701(R) (2013)]. We demonstrate how the accuracy of the ABM can be stepwise improved by including magnetic dipole-dipole interactions and coupling to a non-dominant virtual state. We present a MQDT calculation, where magnetic dipole-dipole and second order spin-orbit interactions are included. A frame transformation formalism is introduced, which allows the assignment of measured FRs with only three parameters. All three models achieve a total rms error of < 1G on the observed FRs. We critically compare the different models in view of the accuracy for the description of FRs and the required input parameters for the calculations.
We provide a comprehensive comparison of a coupled channel calculation, the asymptotic bound-state model (ABM), and the multichannel quantum defect theory (MQDT). Quantitative results for [superscript 6]Li-[superscript 133]Cs are presented and compared to previously measured [superscript 6]Li-[superscript 133]Cs Feshbach resonances (FRs) [Repp et al., Phys. Rev. A 87, 010701(R) (2013)]. We demonstrate how the accuracy of the ABM can be stepwise improved by including magnetic dipole-dipole interactions and coupling to a nondominant virtual state. We present a MQDT calculation, where magnetic dipole-dipole and second-order spin-orbit interactions are included. A frame transformation formalism is introduced, which allows the assignment of measured FRs with only three parameters. All three models achieve a total rms error of <1G on the observed FRs. We critically compare the different models in view of the accuracy for the description of FRs and the required input parameters for the calculations.
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 et al (2009 Phys. Rev. A 79 012717 ). The MQDT results show a level of accuracy comparable to that of previous models based on direct, fully numerical solutions of the the coupled channel Schrödinger equations. Here, energy levels deduced from 2-photon photoassociation (PA) spectra for 7 Li 85 Rb are assigned by applying the MQDT approach, obtaining the bound state energies for the coupled channel problem. Our results confirm that MQDT yields a compact description of PA observables as well as the Fano–Feshbach resonance positions and widths.