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We solve the two-particle s-wave scattering problem for ultracold atom gases confined in arbitrary quasi-one-dimensional trapping potentials, allowing for two different atom species. As a consequence, the center-of-mass and relative degrees…

Other Condensed Matter · Physics 2007-05-23 V. Peano , M. Thorwart , C. Mora , R. Egger

We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the…

Quantum Gases · Physics 2015-05-14 H. P. Büchler

Most of the current theories on the p-wave superfluid in cold atomic gases are based on the effective-range theory for the two-body scattering, where the low energy p-wave scattering amplitude $f_1(k)$ is given by $%…

Atomic Physics · Physics 2015-05-20 Peng Zhang , Pascal Naidon , Masahito Ueda

In the ultracold gases of alkali-earth (like) atoms, a new type of Feshbach resonance, i.e., the orbital Feshbach resonance (OFR), has been proposed and experimentally observed in ultracold $^{173}$Yb atoms. When the OFR of the $^{173}$Yb…

Quantum Gases · Physics 2017-02-01 Yanting Cheng , Ren Zhang , Peng Zhang

We consider the magnetically tunable Feshbach resonances that may exist in ultracold mixtures of molecules in $^2\Sigma$ states and alkali-metal atoms. We focus on Rb+CaF as a prototype system. There are likely to be Feshbach resonances…

Atomic Physics · Physics 2023-06-05 Robert C. Bird , Michael R. Tarbutt , Jeremy M. Hutson

A rigorous quantum theory of atomic collisions in the presence of radio frequency (rf) magnetic fields is developed and applied to elucidate the effects of combined dc and rf magnetic fields on elastic scattering in ultracold collisions of…

Atomic Physics · Physics 2010-05-12 T. V. Tscherbul , T. Calarco , I. Lesanovsky , R. V. Krems , A. Dalgarno , J. Schmiedmayer

The energy spectrum and corresponding wave functions of two bosonic particles confined in a spherically symmetric shell trap and interacting via a three-dimensional zero-range potential are computed. Confinement-induced resonances,…

Quantum Physics · Physics 2025-07-01 C. Moritz Carmesin , Maxim A. Efremov

We experimentally investigate the mix-dimensional scattering occurring when the collisional partners live in different dimensions. We employ a binary mixture of ultracold atoms and exploit a species-selective 1D optical lattice to confine…

Quantum Gases · Physics 2010-04-16 G. Lamporesi , J. Catani , G. Barontini , Y. Nishida , M. Inguscio , F. Minardi

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

When two atoms interact in the presence of an anharmonic potential, such as an optical lattice, the center of mass motion cannot be separated from the relative motion. In addition to generating a confinement-induced resonance (or shifting…

Quantum Gases · Physics 2015-03-13 J. P. Kestner , L. -M. Duan

We study $^{87}$Rb cold collisions in a static magnetic field and a single-color radio frequency (RF) field by employing the multi-channel quantum defect theory in combination with the Floquet method to solve the two-body time-dependent…

Atomic Physics · Physics 2017-02-15 Yijue Ding , Jose P. D'Incao , Chris H. Greene

We have developed a model of Feshbach resonances in gases of ultracold alkali metal atoms using the ideas of multichannel quantum defect theory. Our model requires just three parameters describing the interactions - the singlet and triplet…

Other Condensed Matter · Physics 2009-04-30 Thomas M. Hanna , Eite Tiesinga , Paul S. Julienne

We use the dressed potentials obtained in the adiabatic representation of two coupled channels to calculate s-wave Feshbach resonances in a 3D spherically symmetric potential with an open channel interacting with a closed channel. Analytic…

Atomic Physics · Physics 2014-11-26 T. Wasak , M. Krych , Z. Idziaszek , M. Trippenbach , Y. Avishai , Y. B. Band

We present a proposal for controlling the conversion of ultracold atoms into molecules by fixing the phase difference between two oscillating magnetic fields. The scheme is based on the use of a magnetic Feshbach resonance with a field…

Quantum Gases · Physics 2015-11-05 J. Plata

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 observe new Feshbach resonances in ultracold mixtures of $^{85}$Rb and $^{87}$Rb atoms in the $^{85}$Rb$|2, +2\rangle$+$^{87}$Rb$|1, +1\rangle$ and $^{85}$Rb$|2, -2\rangle$+$^{87}$Rb$|1, -1\rangle$ scattering channels. The positions and…

Quantum Gases · Physics 2016-12-09 Shen Dong , Yue Cui , Chuyang Shen , Yewei Wu , Meng Khoon Tey , Li You , Bo Gao

High partial-wave ($l\ge2$) Feshbach resonance (FR) in an ultracold mixture of $^{85}$Rb-$^{87}$Rb atoms is investigated experimentally aided by a partial-wave insensitive analytic multichannel quantum-defect theory (MQDT). Two "broad"…

Quantum Gases · Physics 2017-12-06 Yue Cui , Chuyang Shen , Min Deng , Shen Dong , Cheng Chen , Rong Lü , Bo Gao , Meng Khoon Tey , Li You

We have measured the interaction energy and three-body recombination rate for a two-component Fermi gas near a narrow Feshbach resonance and found both to be strongly energy dependent. Even for deBroglie wavelengths greatly exceeding the…

Quantum Gases · Physics 2015-06-03 E. L. Hazlett , Y. Zhang , R. W. Stites , K. M. O'Hara

Feshbach resonances are an invaluable tool in atomic physics, enabling precise control of interactions and the preparation of complex quantum phases of matter. Here, we theoretically analyze a solid-state analogue of a Feshbach resonance in…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Clemens Kuhlenkamp , Michael Knap , Marcel Wagner , Richard Schmidt , Atac Imamoglu

In a system of ultracold atoms near a Feshbach resonance, pairs of atoms can be associated into universal dimers by an oscillating magnetic field with frequency near that determined by the dimer binding energy. We present a simple…

Quantum Gases · Physics 2015-03-18 Christian Langmack , D. Hudson Smith , Eric Braaten
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