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A low energy effective theory based on a microscopic multi-channel description of the atom-atom interaction is derived for the scattering of alkali atoms in different hyperfine states. This theory describes all scattering properties,…

Other Condensed Matter · Physics 2007-05-23 G. M. Bruun , A. D. Jackson , E. E. Kolomeitsev

Near Feshbach resonances, $n|a|^3\gg 1$, systems of Bose and Fermi particles become strongly interacting/dense. In this unitary limit both bosons and fermions have very different properties than in a dilute gas, e.g., the energy per…

Superconductivity · Physics 2009-11-10 H. Heiselberg

It is well-known that the magnetic Feshbach resonances of cold atoms are sensitive to the magnitude of the external magnetic field. Much less attention has been paid to the direction of such a field. In this work we calculate the scattering…

Quantum Gases · Physics 2014-06-25 Shi-Guo Peng , Shina Tan , Kaijun Jiang

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. H. Smith

We elucidate universal many-body properties of a one-dimensional, two-component ultracold Fermi gas near the $p$-wave Feshbach resonance. The low-energy scattering in this system can be characterized by two parameters, that is, $p$-wave…

Quantum Gases · Physics 2021-09-01 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi , Kei Iida

We report the experimental determination of the scattering parameters for a p-wave Feshbach resonance in a single component Fermi gas of 6Li atoms in the lowest spin state. The time scale of the cross-dimensional relaxation reflects the…

Atomic Physics · Physics 2016-09-30 Takuya Nakasuji , Jun Yoshida , Takashi Mukaiyama

We calculate the radio frequency (RF) spectrum of fermionic atoms near a narrow Feshbach resonance, explaining observations made in ultracold samples of $^6\rm{Li}$ [E. L. Hazlett {\it et al.}, Phys. Rev. Lett. {\bf 108}, 045304 (2012)]. We…

Quantum Gases · Physics 2014-01-31 Junjun Xu , Qiang Gu , Erich J. Mueller

We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-wave pseudopotential with an energy-dependent…

Atomic Physics · Physics 2013-05-29 Zbigniew Idziaszek

We study the density-wave states of quasi-one-dimensional atomic gas mixture of one- and two-component boson and fermion using the mean-field approximation. Owing to the Peierls instability in the quasi-one-dimensional fermion system, the…

Other Condensed Matter · Physics 2009-11-10 E. Nakano , H. Yabu

We observe new Feshbach resonances in ultracold mixtures of $^{85}$Rb and $^{87}$Rb atoms in the $^{85}$Rb$|2, +2\rangle$+$^{87}$Rb$|1, +1\rangle$ and $^{85}$Rb$|2, -2\rangle$+$^{87}$Rb$|1, -1\rangle$ scattering channels. The positions and…

Quantum Gases · Physics 2016-12-09 Shen Dong , Yue Cui , Chuyang Shen , Yewei Wu , Meng Khoon Tey , Li You , Bo Gao

We study the dimer-dimer scattering length $a_4$ for a two-component Fermi mixture in which the different fermions have different masses $m\us$ and $m\ds$. This is made in the framework of the exact field theoretical method. In the large…

Quantum Gases · Physics 2013-05-30 F. Alzetto , R. Combescot , X. Leyronas

We discuss the emergence of p-wave superfluidity of identical atomic fermions in a two-dimensional optical lattice. The optical lattice potential manifests itself in an interplay between an increase in the density of states on the Fermi…

Quantum Gases · Physics 2017-04-20 A. K. Fedorov , V. I. Yudson , G. V. Shlyapnikov

The physics of Feshbach resonance is analyzed using an analytic expression for the $s$-wave scattering phase-shift and the scattering length $a$ which we derive within a two-channel tight-binding model. Employing a unified treatment of…

Quantum Gases · Physics 2015-06-16 Y. Avishai , Y. B. Band , M. Trippenbach

For calculating low-energy properties of a dilute gas of atoms interacting via a Feshbach resonance, we develop an effective theory in which the parameters that enter are an atom-molecule coupling strength and the magnetic moment of the…

Statistical Mechanics · Physics 2009-11-10 G. M. Bruun , C. J. Pethick

We consider Feshbach scattering of fermions in a one-dimensional optical lattice. By formulating the scattering theory in the crystal momentum basis, one can exploit the lattice symmetry and factorize the scattering problem in terms of…

Atomic and Molecular Clusters · Physics 2009-11-13 M. Grupp , R. Walser , W. P. Schleich , A. Muramatsu , M. Weitz

In a Feshbach resonance, the effective s-wave scattering length grows when one moves toward the resonance point, and eventually diverges at this point. There is one characteristic energy scale, $\delta_c$, defined as, in the negative side…

Quantum Gases · Physics 2013-01-01 Guojun Zhu

In the wake of successful experiments in Fermi condensates, experimental attention is broadening to study resonant interactions in degenerate Bose-Fermi mixtures. Here we consider the properties and stability of the fermionic molecules that…

Statistical Mechanics · Physics 2009-11-11 Alexander V. Avdeenkov , Daniele C. E. Bortolotti , John. L. Bohn

We have measured a p-wave Feshbach resonance in a single-component, ultracold Fermi gas of potassium atoms. We have used this resonance to enhance the normally suppressed p-wave collision cross-section to values larger than the background…

Condensed Matter · Physics 2009-02-20 C. A. Regal , C. Ticknor , J. L. Bohn , D. S. Jin

Feshbach scattering resonances are being utilized in atomic gases to explore the entire crossover region from a Bose-Einstein Condensation (BEC) of composite bosons to a Bardeen-Cooper-Schrieffer (BCS) of Cooper pairs. Several theoretical…

Superconductivity · Physics 2009-11-10 S. De Palo , M. L. Chiofalo , M. J. Holland , S. J. J. M. F. Kokkelmans

Recent experiments on atom loss in ultra-cold Fermi gases all show a maximum at a magnetic field below Feshbach resonance, where the s-wave scattering length is large (close to inter-particle distance) and positive. These experiments have…

Quantum Gases · Physics 2015-05-27 Shizhong Zhang , Tin-Lun Ho