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We numerically study the problem of two fermions in a three dimensional optical lattice interacting via a zero-range Feshbach resonance, and display the dispersions of the bound states as a two-particle band structure with unique features…

Quantum Gases · Physics 2015-03-19 M. L. Wall , L. D. Carr

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

We investigate the real-time buildup of short-range correlations in a nondegenerate ultracold Bose gas near a narrow Fano-Feshbach resonance. Using rapid optical control, we quench the closed-channel molecular energy to resonance on…

The energy of the two-component Fermi gas with the s-wave contact interaction is a simple linear functional of its momentum distribution: $$E_\text{internal}=\hbar^2\Omega C/4\pi am+\sum_{\vect k\sigma}(\hbar^2 k^2/2m)(n_{\vect…

Statistical Mechanics · Physics 2015-06-25 Shina Tan

Two-component Fermi and Bose gases with infinitely large interspecies s-wave scattering length $a_s$ exhibit a variety of intriguing properties. Among these are the scale invariance of two-component Fermi gases with equal masses, and the…

Quantum Gases · Physics 2015-05-20 D. Blume , K. M. Daily

We present a study of a gas of bosons confined in one dimension with Feshbach resonant interactions, at zero temperature. Unlike the gas of one dimensional bosons with non-resonant interactions, which is known to be equivalent to a system…

Statistical Mechanics · Physics 2007-05-23 V. Gurarie

Using a two-channel model, we investigate theoretically the binding energy of confinement-induced Feshbach molecules in two- and one-dimensional ultracold atomic systems, near a Feshbach resonance. We show that the two-channel prediction…

Quantum Gases · Physics 2012-10-09 Shi-Guo Peng , Hui Hu , Xia-Ji Liu , Kaijun Jiang

We present a unique theoretical description of the physics of the spherically trapped $N$-atom degenerate Fermi gas (DFG) at zero temperature based on an ordinary Schr\"{o}dinger equation with a microscopic, two body interaction potential.…

Other Condensed Matter · Physics 2009-11-11 Seth T. Rittenhouse , M. J. Cavagnero , Javier von Stecher , Chris H. Greene

We consider weakly bound diatomic molecules (dimers) formed in a two-component atomic Fermi gas with a large positive scattering length for the interspecies interaction. We develop a theoretical approach for calculating atom-dimer and…

Statistical Mechanics · Physics 2009-02-05 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

Two-dimensional Fermi gases with universal short-range interactions are known to exhibit a quantum anomaly, where a classical scale and conformal invariance is broken by quantum effects at strong coupling. We argue that in a quasi…

Quantum Gases · Physics 2022-05-24 Viktor Bekassy , Johannes Hofmann

In view of recent experiments on ultra-cold polarized fermions, the zero-range potential approach is generalized to situations where two-body scattering is resonant in the p-wave channel. We introduce a modified scalar product which reveals…

Other Condensed Matter · Physics 2007-05-23 Ludovic Pricoupenko

We analyse a narrow Feshbach resonance with ultra-cold chromium atoms colliding in d-wave. The resonance is made possible by dipole-dipole interactions, which couple an incoming $l=2$ collision channel with a bound molecular state with…

Atomic Physics · Physics 2009-11-13 Q. Beaufils , A. Crubellier , T. Zanon , B. Laburthe-Tolra , E. Marechal , L. Vernac , O. Gorceix

In the ultracold gases of alkali-earth (like) atoms, a new type of Feshbach resonance, i.e., the orbital Feshbach resonance (OFR), has been proposed and experimentally observed in ultracold $^{173}$Yb atoms. When the OFR of the $^{173}$Yb…

Quantum Gases · Physics 2017-02-01 Yanting Cheng , Ren Zhang , Peng Zhang

We develop a full multichannel spin model in momentum space to investigate three-body recombination of identical alkali-metal atoms colliding in a magnetic field. The model combines the exact three-atom spin structure and realistic pairwise…

Quantum Gases · Physics 2021-02-24 T. Secker , J. -L. Li , P. M. A. Mestrom , S. J. J. M. F. Kokkelmans

The contact ${\cal I}$, introduced by Tan, has emerged as a key parameter characterizing universal properties of strongly interacting Fermi gases. For ultracold Fermi gases near a Feshbach resonance, the contact depends upon two quantities:…

Quantum Gases · Physics 2015-05-20 E. D. Kuhnle , S. Hoinka , P. Dyke , H. Hu , P. Hannaford , C. J. Vale

We study systems of few two-component fermions interacting in a Harmonic Oscillator trap. The fermion-fermion interaction is generated in a finite basis with a unitary transformation of the exact two-body spectrum given by the Busch…

Quantum Gases · Physics 2013-05-23 J. Rotureau

We use all-optical methods to produce a highly-degenerate Fermi gas of spin-1/2 $^6$Li atoms. A magnetic field tunes the gas near a collisional (Feshbach) resonance, producing strong interactions between spin-up and spin-down atoms. This…

Other Condensed Matter · Physics 2009-11-13 A. Turlapov , J. Kinast , B. Clancy , Le Luo , J. Joseph , J. E. Thomas

We study the $p$-wave elastic collision rates in a two-dimensional spin-polarized ultracold Fermi gas in the presence of a $p$-wave Feshbach resonance. We derive the analytical relation of the elastic collision rate coefficient in the close…

Quantum Gases · Physics 2024-02-19 Muhammad Awais Altaf , Takashi Mukaiyama , Muhammad Waseem

Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a…

Quantum Gases · Physics 2017-10-31 Alexander Galea , Tash Zielinski , Stefano Gandolfi , Alexandros Gezerlis

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