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The collision of two atoms is an intrinsic multi-channel (MC) problem as becomes especially obvious in the presence of Feshbach resonances. Due to its complexity, however, single-channel (SC) approximations, which reproduce the long-range…

We address the two-dimensional band-structure of graphene above the vacuum level in the context of discrete states immersed in the three-dimensional continuum. Scattering resonances are discovered that originate from the coupling of the…

Mesoscale and Nanoscale Physics · Physics 2013-01-31 V. U. Nazarov , V. M. Silkin , E. E. Krasovskii

Many-body effects may influence properties, such as scattering parameters, nature of pairing, etc., close to a Feshbach resonance in the fermion BEC-BCS crossover problem. We study effects such as these using a tractable crossing-symmetric…

Quantum Gases · Physics 2015-06-05 Renyuan Liao , Khandker F. Quader

The study of state-to-state spin-exchange collisions in the vicinity of $p$-wave Feshbach resonances offer great opportunities to explore many-body interactions and novel quantum phases. Here, we report the observation of a spin-exchange…

Quantum Gases · Physics 2024-06-04 Shuai Peng , Tangqian Shu , Bowen Si , Sijia Peng , Yixin Guo , Yongchang Han , Jiaming Li , Gaoren Wang , Le Luo

We calculate the reflection and transmission probabilities in a one-dimensional Fermi gas with an equal mixing of the Rashba and Dresselhaus spin-orbit coupling (RD-SOC) produced by an external Raman laser field. These probabilities are…

Quantum Physics · Physics 2016-12-07 Su-Ju Wang , Chris H. Greene

We show that the probability of the collision-induced absorption of non-resonant microwave photons by a gas of ultracold molecules is dramatically enhanced near a Feshbach scattering resonance. This can be used for detecting Feshbach…

Atomic Physics · Physics 2010-10-28 Sergey V. Alyabyshev , Roman V. Krems

We present an analytic model to calculate the atomic scattering length near a Feshbach resonance from data on the molecular binding energy. Our approach considers finite-range square-well potentials and can be applied near broad, narrow, or…

Other Condensed Matter · Physics 2009-11-13 A. D. Lange , K. Pilch , A. Prantner , F. Ferlaino , B. Engeser , H. -C. Naegerl , R. Grimm , C. Chin

Helium atoms in the metastable $2^3{S_{1}}$ state (He$^*$) have unique advantages for ultracold atomic experiments. However, there is no known accessible Feshbach resonance in He$^*$, which could be used to manipulate the scattering length…

Quantum Gases · Physics 2021-09-29 T. M. F. Hirsch , D. G. Cocks , S. S. Hodgman

Modeling the underlying pairing mechanism of charge carriers in strongly correlated electrons, starting from a microscopic theory, is among the central challenges of condensed-matter physics. Hereby, the key task is to understand what…

Strongly Correlated Electrons · Physics 2024-03-21 Lukas Homeier , Pit Bermes , Fabian Grusdt

In the vicinity of a Feshbach resonance, a system of ultracold atoms on an optical lattice undergoes rich physical transformations which involve molecule formation and hopping of molecules on the lattice and thus goes beyond a single-band…

Quantum Gases · Physics 2015-11-20 A. Dirks , K. Mikelsons , H. R. Krishnamurthy , J. K. Freericks

We analyze a system of two-component fermions which interact via a Feshbach resonance in the presence of a three-dimensional lattice potential. By expressing a two-channel model of the resonance in the basis of Bloch states appropriate for…

Quantum Gases · Physics 2013-07-18 M. L. Wall , L. D. Carr

Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic 87Rb and fermionic 40K atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed…

Soft Condensed Matter · Physics 2009-11-10 S. Inouye , J. Goldwin , M. L. Olsen , C. Ticknor , J. L. Bohn , D. S. Jin

We present the RPA theory of the BEC-BCS crossover in an atomic Fermi gas near a Feshbach resonance that includes the relevant two-body atomic physics exactly. This allows us to determine the probability $Z$ for the dressed molecules in the…

Statistical Mechanics · Physics 2009-11-11 M. W. J. Romans , H. T. C. Stoof

Feshbach resonances are the essential tool to control the interaction between atoms in ultracold quantum gases. They have found numerous experimental applications, opening up the way to important breakthroughs. This Review broadly covers…

Other Condensed Matter · Physics 2010-05-04 Cheng Chin , Rudolf Grimm , Paul Julienne , Eite Tiesinga

We present a study of interspecies Feshbach resonances in ultracold $^{7}$Li-$^{133}$Cs Bose-Bose mixtures. We locate ten interspecies resonances in three different spin-state combinations. By comparing to coupled-channel calculations, we…

Quantum Gases · Physics 2022-08-26 W. -X. Li , Y. -D. Chen , Y. -T. Sun , S. Tung , Paul S. Julienne

In the absence of inelastic scattering, Feshbach resonances produce poles in scattering lengths and very large peaks in elastic cross sections. However, inelastic scattering removes the poles. Whenever the resonant state is coupled…

Atomic Physics · Physics 2007-06-13 Jeremy M. Hutson

We report the observation of a dimer-dimer inelastic collision resonance for ultracold Feshbach molecules made of bosonic sodium and rubidium atoms. This resonance, which we attribute to the crossing of the dimer-dimer threshold with a…

Quantum Gases · Physics 2019-08-16 Fudong Wang , Xin Ye , Mingyang Guo , D. Blume , Dajun Wang

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky

A coupled atom-molecule condensate with an intraspecies Feshbach resonance is employed to explore matter wave bistability both in the presence and in the absence of a unidirectional optical ring cavity. In particular, a set of conditions…

Quantum Gases · Physics 2015-05-18 Hong Y. Ling

We employ radio-frequency spectroscopy on weakly bound $^6$Li$_2$ molecules to precisely determine the molecular binding energies and the energy splittings between molecular states for different magnetic fields. These measurements allow us…