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We study the behavior of the Eisenbud-Wigner collisional time delay around Feshbach resonances in cold and ultracold atomic and molecular collisions. We carry out coupled-channels scattering calculations on ultracold Rb and Cs collisions.…

Atomic Physics · Physics 2019-10-23 Matthew D. Frye , Jeremy M. Hutson

We consider the spectrum of two ultracold harmonically trapped atoms interacting via short-range interactions. The Green's function approach is used to unify the two and three dimensional cases. We derive criteria for the universality of…

Quantum Gases · Physics 2012-05-03 N. T. Zinner

Cold inelastic collisions of atoms or molecules are analyzed using very general arguments. In free space, the deactivation rate can be enhanced or suppressed together with the scattering length of the corresponding elastic collision via a…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , Y. B. Band

We study the association and dissociation dynamics of weakly bound heteronuclear Feshbach molecules using transverse RF-fields for expected parameters accessible through the microgravity environment of NASA's Cold Atom Laboratory (CAL)…

Atomic Physics · Physics 2017-02-01 J. P. D'Incao , M. Krutzik , E. Elliott , J. R. Williams

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

We directly measured the normalized $\it{s}$-wave scattering cross-section of ultracold $^{40}\rm{K}$ atoms across a magnetic-field Feshbach resonance by colliding pairs of degenerate Fermi gases (DFGs) and imaging the scattered atoms. We…

We characterize Feshbach resonances in all isotopologues of the $\mathrm{Li}{-}\mathrm{Li}$ system with improved interaction potentials. Starting from spectroscopically accurate Morse/long-range (MLR) potential-energy curves for the singlet…

Atomic Physics · Physics 2026-03-04 Jing-Chen Zhang , Paul Julienne , Yu Liu

Feshbach scattering resonances are being utilized in atomic gases to explore the entire crossover region from a Bose-Einstein Condensation (BEC) of composite bosons to a Bardeen-Cooper-Schrieffer (BCS) of Cooper pairs. Several theoretical…

Superconductivity · Physics 2009-11-10 S. De Palo , M. L. Chiofalo , M. J. Holland , S. J. J. M. F. Kokkelmans

We present a theory of a degenerate atomic Fermi gas, interacting through a narrow Feshbach resonance, whose position and therefore strength can be tuned experimentally, as demonstrated recently in ultracold trapped atomic gases. The…

Superconductivity · Physics 2007-05-23 V. Gurarie , L. Radzihovsky

We present a detailed analysis of the two-channel atom-molecule effective Hamiltonian for an ultracold two-component homogeneous Fermi gas interacting near a Feshbach resonance. We particularly focus on the two-body and many-body properties…

Other Condensed Matter · Physics 2014-11-17 G. M. Falco , H. T. C. Stoof

Quantum defect embedding theory (QDET) is a many-body embedding method designed to describe condensed systems with correlated electrons localized within a given region of space, for example spin defects in semiconductors and insulators.…

Materials Science · Physics 2025-08-28 Siyuan Chen , Victor Wen-zhe Yu , Yu Jin , Marco Govoni , Giulia Galli

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…

Atomic Physics · Physics 2015-06-04 Michael Mayle , Brandon P. Ruzic , John L. Bohn

We introduce a new framework for quantifying the complexity of quantum channels, grounded in a suitably chosen resource set. This class of convex functions is designed to analyze the complexity of both open and closed quantum systems. By…

Quantum Physics · Physics 2026-01-12 Roy Araiza , Yidong Chen , Marius Junge , Peixue Wu

We show that recent experiments in hybrid qubit-oscillator devices that measure the phase-space characteristic function of the oscillator via the qubit can be seen through the lens of functional calculus and path integrals, drawing a clear…

Quantum Physics · Physics 2024-11-11 S. Varona , S. Saner , O. Băzăvan , G. Araneda , G. Aarts , A. Bermudez

A comprehensive search for "broad" Feshbach resonances (FRs) in all possible combinations of stable alkali-metal atoms is carried out, using a multi-channel quantum-defect theory assisted by the analytic wave functions for a long-range…

Quantum Gases · Physics 2018-10-31 Yue Cui , Min Deng , Li You , Bo Gao , Meng Khoon Tey

Optical control enables new high resolution probes of narrow collisional (Feshbach) resonances, which are strongly dependent on the relative momentum of colliding atom pairs, and important for simulating neutron matter with ultracold atomic…

Quantum Gases · Physics 2018-10-31 N. Arunkumar , A. Jagannathan , J. E. Thomas

The many-boson problem in presence of an asymptotically narrow Feshbach resonance is considered. The low energy properties are investigated using a two-channel Hamiltonian. The energy spectrum of this model is shown to be bounded from below…

Quantum Physics · Physics 2013-05-06 Ludovic Pricoupenko

We show that the essential properties of a Feshbach resonance in cold atomic gases can be tuned by dressing the atomic states in different scattering channels through inter-channel couplings. Such a scheme can be readily implemented in the…

Quantum Gases · Physics 2017-11-08 Tian-Shu Deng , Wei Zhang , Wei Yi

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account of both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting…

Other Condensed Matter · Physics 2009-11-11 L. -M. Duan

We investigate the presence of Feshbach resonances in ultracold alkali-dialkali reactive collisions. Quantum scattering calculations are performed on a new Na_3 quartet potential energy surface. An analysis of scattering features is…

Quantum Physics · Physics 2009-11-13 A. Simoni , J-M. Launay , P. Soldan
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