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We present an analytical study of three-state Feshbach resonances induced by second-order couplings. Such resonances arise when the scattering amplitude is modified by the interaction with a bound state that is not directly coupled to the…

Atomic Physics · Physics 2008-02-21 Christopher J. Hemming , Roman V. Krems

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

We report extentions and corrections to the measurement of the Feshbach resonance in 85Rb cold atom collisions reported earlier [J. L. Roberts et al., Phys. Rev. Lett. 81, 5109 (1998)]. In addition to a better determination of the position…

Atomic Physics · Physics 2012-08-27 J. L. Roberts , J. P. Burke, , N. R. Claussen , S. L. Cornish , E. A. Donley , C. E. Wieman

We consider a heteronuclear fermionic mixture on the molecular side of an interspecies Feshbach resonance and discuss atom-dimer scattering properties in uniform space and in the presence of an external confining potential, restricting the…

Quantum Gases · Physics 2013-05-29 J. Levinsen , T. G. Tiecke , J. T. M. Walraven , D. S. Petrov

Feschbach resonances in a non-s-wave channel of two-component bosonic mixtures can induce atomic Bose Einstein condensates with a non-zero orbital momentum in the optical lattice, if one component is in the Mott insulator state and the…

Other Condensed Matter · Physics 2009-11-11 A. B. Kuklov

We solve the three-body problem of an ultracold Fermi gas with parabolic confinement length $a_\perp$ and 3D scattering length $a$. On the two-body level, there is a Feshbach-type resonance at $a_\perp/a\approx 1.46$, and a dimer state for…

Statistical Mechanics · Physics 2007-05-23 C. Mora , R. Egger , A. O. Gogolin , A. Komnik

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

Quantum gas systems provide a unique experimental platform to study a fundamental paradigm of quantum many-body physics: the crossover between Bose-Einstein condensed (BEC) molecular pairs and Bardeen Cooper Schrieffer (BCS) superfluidity.…

Quantum Gases · Physics 2023-06-28 Yann Kiefer , Max Hachmann , Andreas Hemmerich

Fermions in an optical lattice near a wide Feshbach resonance are expected to be described by an effective Hamiltonian of the general Hubbard model with particle-assisted tunneling rates resulting from the strong atomic interaction [Phys.…

Other Condensed Matter · Physics 2009-11-13 T. Goodman , L. -M. Duan

We present exact results for the spectra of three fermionic atoms in a single well of an optical lattice. For the three lowest hyperfine states of Li6 atoms, we find a Borromean state across the region of the distinct pairwise Feshbach…

Other Condensed Matter · Physics 2008-11-26 T. Luu , A. Schwenk

A Feshbach resonance arises in cold atom scattering due to the complex interplay between several coupled channels. However, the essential physics of the resonance may be encapsulated in a simplified model consisting of just two coupled…

Other Condensed Matter · Physics 2009-11-11 Nicolai Nygaard , Barry I. Schneider , Paul S. Julienne

We study the dynamics of an atomic Bose-Einstein condensate in an optical lattice in which the electronic groundstate of each atom is weakly coupled to a highly excited Rydberg state by a far off-resonant laser. This dressing induces a…

Atomic Physics · Physics 2012-06-04 Weibin Li , Lama Hamadeh , Igor Lesanovsky

We study elastic collisions in an optically trapped spin mixture of fermionic lithium atoms in the presence of magnetic fields up to 1.5kG by measuring evaporative loss. Our experiments confirm the expected magnetic tunability of the…

Atomic Physics · Physics 2007-05-23 S. Jochim , M. Bartenstein , G. Hendl , J. Hecker Denschlag , R. Grimm , A. Mosk , M. Weidemüller

The s-wave scattering length for elastic collisions between 87Rb atoms in the state |f,m_f>=|1,1> is measured in the vicinity of a Feshbach resonance near 1007 G. Experimentally, the scattering length is determined from the mean-field…

Condensed Matter · Physics 2007-05-23 Thomas Volz , Stephan Dürr , Sebastian Ernst , Andreas Marte , Gerhard Rempe

We consider the long-range states expected for complexes formed from an alkali-metal diatomic molecule in a singlet state and an alkali-metal atom. We explore the structure of the Hamiltonian for such systems, and the couplings between the…

Atomic Physics · Physics 2023-03-13 Matthew D. Frye , Jeremy M. Hutson

We show that recent high-precision measurements of relative on-site interaction energies $\Delta U$ in a Mott insulator require a theoretical description beyond the standard Hubbard-model interpretation, when combined with an accurate…

Quantum Gases · Physics 2020-04-22 Thomas Secker , Jesse Amato-Grill , Wolfgang Ketterle , Servaas Kokkelmans

In this Letter we illustrate the possible cyclic fermion pairing states across Feshbach resonances in optical lattices. In cyclic fermion pairing, the pairing amplitude exhibits an oscillatory behavior as the detuning varies. We estimate…

Other Condensed Matter · Physics 2009-11-11 Fei Zhou

We demonstrate single site addressability in a two-dimensional optical lattice with 600 nm lattice spacing. After loading a Bose-Einstein condensate in the lattice potential we use a focused electron beam to remove atoms from selected…

Other Condensed Matter · Physics 2009-10-13 Peter Würtz , Tim Langen , Tatjana Gericke , Andreas Koglbauer , Herwig Ott

Three-body collisions of ultracold identical Bose atoms under tight cylindrical confinement are analyzed. A Feshbach resonance in two-body collisions is described by a two-channel zero-range interaction. Elimination of the closed channel in…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , A. Ben-Reuven , M. Olshanii

Feshbach resonances play a vital role in the success of cold atoms investigating strongly-correlated physics. The recent observation of their solid-state analog in the scattering of holes and intralayer excitons in transition metal…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Marcel Wagner , Rafał Ołdziejewski , Félix Rose , Verena Köder , Clemens Kuhlenkamp , Ataç İmamoğlu , Richard Schmidt