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We discuss the collective modes in an alkaline-earth Fermi gas close to an orbital Feshbach resonance. Unlike the usual Feshbach resonance, the orbital Feshbach resonance in alkaline-earth atoms realizes a two-band superfluid system where…

Quantum Gases · Physics 2017-05-03 Yi-Cai Zhang , Shanshan Ding , Shizhong Zhang

The lowest order constrained variational method [Phys. Rev. Lett. 88, 210403 (2002)] has been generalized for a dilute (in the sense that the range of interatomic potential is small compared with inter-particle spacing) uniform gas of…

Soft Condensed Matter · Physics 2007-05-23 Yeong E. Kim , Alexander L. Zubarev

We consider a pair of atoms in an arbitrary trapping potential in the presence of magnetically tunable Feshbach resonance. We find the energy levels and occupation of the bound molecular states taking into account possible coupling between…

Quantum Gases · Physics 2013-04-17 Krzysztof Jachymski , Zbigniew Idziaszek , Tommaso Calarco

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

We consider the spectrum of two ultracold harmonically trapped atoms interacting via short-range interactions. The Green's function approach is used to unify the two and three dimensional cases. We derive criteria for the universality of…

Quantum Gases · Physics 2012-05-03 N. T. Zinner

We report the observation of a dimensional crossover of a narrow $p$-wave Feshbach resonance in an ultracold, spin-polarized $^6$Li Fermi gas confined by a one-dimensional optical lattice. In the three-dimensional limit, atom loss near the…

Quantum Gases · Physics 2026-03-03 Hang Yu , Liao Sun , Shaokun Liu , Shuai Peng , Jiaming Li , Le Luo

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

We investigate the prospects of controlling charge-exchange in ultracold collisions of heteroisotopic combinations of atoms and ions of the same element. The treatment, readily applicable to alkali or alkanine-earth metals, is illustrated…

Atomic Physics · Physics 2017-06-26 Marko Gacesa , Robin Côté

The spectrum of two bosons and two fermions in a trap is calculated using a correlated-Gaussian basis throughout the range of a broad Fano-Feshbach resonance. The calculations provide a few-body solution to the magneto-association of…

Atomic Physics · Physics 2013-07-31 Chen Zhang , Javier von Stecher , Chris H. Greene

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 analyze molecular bound states of atomic quantum gases near a Feshbach resonance. A simple, renormalizable field theoretic model is shown to have exact solutions in the two-body sector, whose binding energy agrees well with observed…

Statistical Mechanics · Physics 2009-11-10 P. D. Drummond , K. V. Kheruntsyan

We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. The universal spectrum is recovered for the least bound states, whereas for…

Quantum Gases · Physics 2012-11-27 P. K. Sørensen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We investigate the confinement induced resonance in spin-orbit coupled cold atoms with Raman coupling. We find that the quasi-bound levels induced by the spin-orbit coupling and Raman coupling result in the Feshbach-type resonances. For…

Quantum Gases · Physics 2014-05-29 Yi-Cai Zhang , Shu-Wei Song , Wu-Ming Liu

We consider the four-boson and 3+1 fermionic problems with a model Hamiltonian which encapsulates the mechanism of the Feshbach resonance involving the coherent coupling of two atoms in the open channel and a molecule in the closed channel.…

Quantum Gases · Physics 2011-03-01 Christophe Mora , Yvan Castin , Ludovic Pricoupenko

Understanding and controlling interactions of ultracold molecules is a cornerstone of quantum chemistry. While the laboratory creation of degenerate molecular gases comprised of bosonic atoms has unlocked powerful new platforms for quantum…

Quantum Gases · Physics 2025-12-30 Zhiqiang Wang , Ke Wang , Zhendong Zhang , Qijin Chen , Cheng Chin , K. Levin

We report the observation of a broad magnetic Feshbach resonance with a large background scattering length in an ultracold fermionic mixture of $^{23}$Na$^{40}$K molecules and $^{40}$K atoms, with both species prepared in their lowest…

Quantum Gases · Physics 2025-11-25 Zhen Su , Tong-Hui Shou , Huan Yang , Jin Cao , Bo-Yuan Wang , Ting Xie , Jun Rui , Bo Zhao , Jian-Wei Pan

Using a Feshbach resonance, we create ultracold fermionic molecules starting from a Bose-Fermi atom gas mixture. The resulting mixture of atoms and weakly bound molecules provides a rich system for studying few-body collisions because of…

Other Condensed Matter · Physics 2009-09-29 J. J. Zirbel , K. -K. Ni , S. Ospelkaus , J. P. D'Incao , C. E. Wieman , J. Ye , D. S. Jin

In systems of ultracold atoms, pairwise interactions can be resonantly enhanced by a new mechanism which does not rely upon a magnetic Feshbach resonance. In this mechanism, interactions are controlled by tuning the frequency of an…

Quantum Gases · Physics 2015-10-14 D. Hudson Smith

We theoretically investigate the high-temperature thermodynamics of a harmonically trapped Fermi gas across a narrow Feshbach resonance, by using the second-order quantum virial expansion, and point out some new features compared to the…

Quantum Gases · Physics 2014-01-08 Shi-Guo Peng , Shuo-Han Zhao , Kaijun Jiang

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