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The entropy and kinetic, potential, and interaction energies of an atomic Fermi gas in a trap are studied under the assumption of thermal equilibrium for finite temperature. A Feshbach resonance can cause the fermions to pair into diatomic…

Statistical Mechanics · Physics 2009-11-10 L. D. Carr , R. Chiaramonte , M. J. Holland

We report on observations and modeling of interspecies magnetic Feshbach resonances in dilute ultracold mixtures of open-shell alkali-metal $^6$Li and closed-shell $^{173}$Yb atoms with temperatures just above quantum degeneracy for both…

We study atom losses associated to a previously unreported magnetic Feshbach resonance in potassium 39. This resonance is peculiar in that it presents $d$-wave character both in the open and in the closed channels, directly coupled by the…

Starting from a multichannel quantum-defect theory, we derive analytic descriptions of a magnetic Feshbach resonance in an arbitrary partial wave $l$, and the atomic interactions around it. An analytic formula, applicable to both broad and…

Atomic Physics · Physics 2011-08-17 Bo Gao

Optical control enables new high resolution probes of narrow collisional (Feshbach) resonances, which are strongly dependent on the relative momentum of colliding atom pairs, and important for simulating neutron matter with ultracold atomic…

Quantum Gases · Physics 2018-10-31 N. Arunkumar , A. Jagannathan , J. E. Thomas

Bose-Einstein condensate (BEC) is considered under conditions of Feshbach resonance in two-atom collisions due to a coupling of atomic pair and resonant molecular states. The association of condensate atoms can form a molecular BEC, and the…

Soft Condensed Matter · Physics 2007-05-23 Vladimir A. Yurovsky

We report on the observation of confinement-induced resonances in strongly interacting quantum-gas systems with tunable interactions for one- and two-dimensional geometry. Atom-atom scattering is substantially modified when the s-wave…

Ultracold assembly of diatomic molecules has enabled great advances in controlled chemistry, ultracold chemical physics, and quantum simulation with molecules. Extending the ultracold association to triatomic molecules will offer many new…

Atomic Physics · Physics 2022-03-10 Huan Yang , Xin-Yao Wang , Zhen Su , Jin Cao , De-Chao Zhang , Jun Rui , Bo Zhao , Chun-Li Bai , Jian-Wei Pan

We develop a theoretical model to describe the radio-frequency (rf) induced coupling of a pair of colliding atoms to a Feshbach molecule when a magnetic field arbitrarily far from the Feshbach resonance is modulated in time. We use the…

Atomic Physics · Physics 2008-12-24 Q. Beaufils , A. Crubellier , T. Zanon , B. Laburthe-Tolra , E. Marechal , L. Vernac , O. Gorceix

Motivated by a recent experiment by Zelevinsky et al. [Phys. Rev. Lett. 96, 203201], we present the theory for photoassociation and optical Feshbach resonances of atoms confined in a tight one-dimensional (1D) or two-dimensional (2D)…

Atomic Physics · Physics 2013-05-29 Pascal Naidon , Paul S. Julienne

We investigate magnetoassociation of ultracold fermionic Feshbach molecules in a mixture of $^{40}$K and $^{87}$Rb atoms, where we can create as many as $7\times 10^4$ $^{40}$K$^{87}$Rb molecules with a conversion efficiency as high as 45%.…

Quantum Gases · Physics 2013-09-12 Tyler D. Cumby , Ruth A. Shewmon , Ming-Guang Hu , John D. Perreault , Deborah S. Jin

We consider in detail the situation of applying a time dependent external magnetic field to a 87Rb atomic Bose-Einstein condensate held in a harmonic trap, in order to adiabatically sweep the interatomic interactions across a Feshbach…

Condensed Matter · Physics 2007-05-23 Krzysztof Goral , Thorsten Koehler , Simon A. Gardiner , Eite Tiesinga , Paul S. Julienne

Ultracold gases of interacting spin-orbit coupled fermions are predicted to display exotic phenomena such as topological superfluidity and its associated Majorana fermions. Here, we experimentally demonstrate a route to strongly-interacting…

Quantum Gases · Physics 2013-08-28 R. A. Williams , M. C. Beeler , L. J. LeBlanc , K. Jimenez-Garcia , I. B. Spielman

We study a model of two species of one-dimensional linearly dispersing fermions interacting via an s-wave Feshbach resonance at zero temperature. While this model is known to be integrable, it possesses novel features that have not…

Quantum Gases · Physics 2018-02-23 Abhinav Prem , Victor Gurarie

The relaxation processes in an ultra-cold degenerate atomic Fermi gas near a Feshbach resonance are considered. It is shown that the relaxation rate of the molecules being in a resonance with the atomic Fermi system is of the order of the…

Other Condensed Matter · Physics 2007-05-23 V. S. Babichenko

We present a simple one-dimensional example of a spin 1/2 particle submitted to a delta-type potential which interacs differently with the two components of the wavefunction and to an external magnetic field. It has two coupled channels,…

Atomic Physics · Physics 2012-10-01 Josep Taron

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

We explore the rich internal structure of Cs_2 Feshbach molecules. Pure ultracold molecular samples are prepared in a CO_2-laser trap, and a multitude of weakly bound states is populated by elaborate magnetic-field ramping techniques. Our…

Other Condensed Matter · Physics 2009-09-29 M. Mark , F. Ferlaino , S. Knoop , J. G. Danzl , T. Kraemer , C. Chin , H. -C. Naegerl , R. Grimm

We report on the experimental observation of a strongly interacting gas of ultracold two-electron fermions with orbital degree of freedom and magnetically tunable interactions. This realization has been enabled by the demonstration of a…

Quantum Gases · Physics 2015-12-30 G. Pagano , M. Mancini , G. Cappellini , L. Livi , C. Sias , J. Catani , M. Inguscio , L. Fallani

We derive one-dimensional effective Hamiltonians for spin-orbit coupled Fermi gases confined in quasi-one-dimensional trapping potentials. For energy regime around the two-body bound state energy, the effective Hamiltonian takes a…

Quantum Gases · Physics 2013-11-13 Ren Zhang , Wei Zhang