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We construct simple analytic models of the $S$-matrix, accounting for both scattering resonances and smooth background contributions for collisions that occur below the s-wave threshold. Such models are important for studying…

Atomic Physics · Physics 2010-11-25 S. G. Bhongale , S. J. J. M. F. Kokkelmans , Ivan H. Deutsch

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

We use laser light near resonant with an optical bound-to-bound transition to shift the magnetic field at which a Feshbach resonance occurs. We operate in a regime of large detuning and large laser intensity. This reduces the light-induced…

Other Condensed Matter · Physics 2009-06-23 D. M. Bauer , M. Lettner , C. Vo , G. Rempe , S. Dürr

We show that for ultra-cold neutral bosonic atoms held in a three-dimensional periodic potential or optical lattice, a Hubbard model with dominant, attractive three-body interactions can be generated. In fact, we derive that the effect of…

Quantum Gases · Physics 2016-05-04 Saurabh Paul , P. R. Johnson , Eite Tiesinga

We describe three-body collisions close to a Feshbach resonance by taking into account two-body scattering processes involving both the open and the closed channel. We extract the atom-dimer scattering length and the three-body…

Other Condensed Matter · Physics 2014-11-17 P. Massignan , H. T. C. Stoof

We report on the realization of a quantum degenerate atomic Fermi gas in an optical lattice. Fermi surfaces of noninteracting fermions are studied in a three-dimensional lattice. Using a Feshbach resonance, we observe a coupling of the…

Strongly Correlated Electrons · Physics 2007-05-23 Thilo Stöferle , Henning Moritz , Christian Schori , Kenneth Günter , Michael Köhl , Tilman Esslinger

We calculate the binding energy of two atoms interacting near a Feshbach resonance in the presence of a 1D periodic potential. The critical value of the scattering length needed to produce a molecule as well as the value of the molecular…

Soft Condensed Matter · Physics 2009-11-11 G. Orso , L. P. Pitaevskii , S. Stringari , M. Wouters

Quantum lattice solitons in a system of two ultracold bosons near Feshbach resonance are investigated. It is shown that their binding energy, effective mass, and spatial width, can be manipulated varying the detuning from the Feshbach…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , D. V. Skryabin

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

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

We propose to go beyond the usual Hubbard model description of atoms in optical lattices and show how few-body physics can be used to simulate many-body phenomena, e.g., an electron-phonon system. We take one atomic species to be trapped in…

Quantum Gases · Physics 2014-09-26 Zhihao Lan , Carlos Lobo

We consider a three-boson system with resonant binary interactions and show that three-body observables depend only on the resonance width and the scattering length. The effect of narrow resonances is qualitatively different from that of…

Statistical Mechanics · Physics 2007-05-23 D. S. Petrov

A simple two-atom model is shown to describe a Bose-Einstein condensate of alkali atoms subjected to external magnetic field ramps near a Feshbach resonance. The implications uncovered for two atoms in a trap can be applied at least…

Condensed Matter · Physics 2009-11-10 Bogdan Borca , D. Blume , Chris H. Greene

Revealing the quantum properties of matter requires a high degree of experimental control accompanied by a profound theoretical understanding. At ultracold temperatures, quantities that appear continuous in everyday life, such as the…

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 consider an atomic Fermi gas confined in a uniform optical lattice potential, where the atoms can pair into molecules via a magnetic field controlled narrow Feshbach resonance. The phase diagram of the resulting atom-molecule mixture in…

Other Condensed Matter · Physics 2009-07-20 O. Soe Sorensen , N. Nygaard , P. B. Blakie

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

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

Magnetic Feshbach resonances play a central role in experimental research of atomic gases at ultracold temperatures, as they allow one to control the microscopic interactions between ultracold atoms by tuning an applied magnetic field.…

Atomic Physics · Physics 2014-04-11 Alisdair O. G. Wallis , Roman V. Krems

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