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We numerically study the problem of two fermions in a three dimensional optical lattice interacting via a zero-range Feshbach resonance, and display the dispersions of the bound states as a two-particle band structure with unique features…

Quantum Gases · Physics 2015-03-19 M. L. Wall , L. D. Carr

We measure higher partial wave Feshbach resonances in an ultracold mixture of fermionic $^6$Li and bosonic $^{133}$Cs by magnetic field dependent atom-loss spectroscopy. For the $p$-wave Feshbach resonances we observe triplet structures…

Here we present a four-channel model that incorporates a magnetically tunable Feshbach resonance in a system of three atoms that interact via pairwise van der Waals interactions. Our method is designed to model recent experiments where the…

Atomic Physics · Physics 2023-06-14 Kajsa-My Tempest , Svante Jonsell

We calculate the three-body recombination rate into a shallow dimer in a gas of cold bosonic atoms near a Feshbach resonance using a two-channel contact interaction model. The two-channel model naturally describes the variation of the…

Atomic Physics · Physics 2012-04-25 P. K. Sørensen , D. V. Fedorov , A. S. Jensen

Strongly confining an ultracold atomic gas in one direction to create a quasi-2D system alters the scattering properties of this gas. We investigate the effects of confinement on Feshbach scattering resonances and show that strong…

Condensed Matter · Physics 2009-11-10 M. Wouters , J. Tempere , J. T. Devreese

Fermionic superfluidity in atomic Fermi gases across a Feshbach resonance is normally described by the atom-molecule theory, which treats the closed channel as a noninteracting point boson. In this work we present a theoretical description…

Quantum Gases · Physics 2015-02-24 Lianyi He , Hui Hu , Xia-Ji Liu

We report on observations and modeling of interspecies magnetic Feshbach resonances in dilute ultracold mixtures of open-shell alkali-metal $^6$Li and closed-shell $^{173}$Yb atoms with temperatures just above quantum degeneracy for both…

In this Letter we report the experimental results on optical control of a p-wave Feshbach resonance, by utilizing a laser driven bound-to-bound transition to shift the energy of closed channel molecule. The magnetic field location for…

In this chapter, we describe scattering resonance phenomena in general, and focus on the mechanism of Feshbach resonances, for which a multi-channel treatment is required. We derive the dependence of the scattering phase shift on magnetic…

Quantum Gases · Physics 2017-08-23 S. J. J. M. F. Kokkelmans

We revisit the basic properties of Fano-Feshbach resonances in two-body systems with van der Waals tail interactions, such as ultracold neutral atoms. Using a two-channel model and two different methods, we investigate the relationship…

Quantum Gases · Physics 2019-11-06 Pascal Naidon , Ludovic Pricoupenko

The projection-operator formalism of Feshbach is applied to resonance scattering in a single-channel case. The method is based on the division of the full function space into two segments, internal (localized) and external (infinitely…

Two-particle scattering in graphene is a multichannel problem, where the energies of the identical or opposite-helicity channels lie in disjoint energy segments. Due to the absence of Galilean invariance, these segments depend on the total…

Mesoscale and Nanoscale Physics · Physics 2014-01-23 C. Gaul , F. Domínguez-Adame , F. Sols , I. Zapata

We report on the observation of interspecies Feshbach resonances in an ultracold, optically trapped mixture of Rb and Cs atoms. In a magnetic field range up to 300 G we find 23 interspecies Feshbach resonances in the lowest spin channel and…

Other Condensed Matter · Physics 2015-05-13 K. Pilch , A. D. Lange , A. Prantner , G. Kerner , F. Ferlaino , H. -C. Naegerl , R. Grimm

The orbital Feshbach resonance (OFR) is a novel scheme for magnetically tuning the interactions in closed-shell fermionic atoms. Remarkably, unlike the Feshbach resonances in alkali atoms, the open and closed channels of the OFR are only…

Quantum Gases · Physics 2020-02-25 E. K. Laird , Z. -Y. Shi , M. M. Parish , J. Levinsen

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

We provide an exact solution of the Efimov spectrum in ultracold gases within the standard two-channel model for Feshbach resonances. It is shown that the finite range in the Feshbach coupling makes the introduction of an adjustable…

Quantum Gases · Physics 2012-12-18 Richard Schmidt , Steffen Patrick Rath , Wilhelm Zwerger

A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to…

Statistical Mechanics · Physics 2007-05-23 V. A. Yurovsky

We study a spin-polarized degenerate Fermi gas interacting via a p-wave Feshbach resonance in an optical lattice. The strong confinement available in this system allows us to realize one- and two-dimensional gases and therefore to restrict…

Other Condensed Matter · Physics 2011-07-19 Kenneth Günter , Thilo Stöferle , Henning Moritz , Michael Köhl , Tilman Esslinger

We report evidence for spin-rotation coupling in $p$-wave Feshbach resonances in an ultracold mixture of fermionic $^6$Li and bosonic $^{133}$Cs lifting the commonly observed degeneracy of states with equal absolute value of…

We derive pseudo-potentials that describe the scattering between two particles in two spatial dimensions for any partial wave m, whose scattering strength is parameterized in terms of the m-dependent phase shift. Using our m=0…

Other Condensed Matter · Physics 2009-11-11 K. Kanjilal , D. Blume