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Ultracold molecules can be associated from ultracold atoms by ramping the magnetic field through a Feshbach resonance. A reverse ramp dissociates the molecules. Under suitable conditions, more than one outgoing partial wave can be…

Thermodynamic properties of a fermionic system close to the unitarity limit, where the 2-body scattering length |a| approaches infinity is studied at high temperature Boltzmann regime. For dilute systems the virial expansion coefficients in…

Nuclear Theory · Physics 2008-11-26 Gautam Rupak

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

In this letter we study the interaction energy in a mixture of Bose and Fermi superfluids realized in recent cold atom experiment. On the Bose-Einstein-condensate (BEC) side of a Feshbach resonance between fermionic atoms, this interaction…

Quantum Gases · Physics 2014-12-24 Ren Zhang , Wei Zhang , Hui Zhai , Peng Zhang

We test a non equilibrium approach to study the behavior of a Bose-Fermi mixture of alkali atoms in the presence of a Feshbach resonance between bosons and fermions. To this end we derive the Hartree-Fock-Bogoliubov (HFB) equations of…

Statistical Mechanics · Physics 2016-08-31 Daniele C. E. Bortolotti , Alexandr V. Avdeenkov , Christopher Ticknor , John L. Bohn

We derive the atom-molecule theory for an atomic gas near a broad Feshbach resonance, where the energy dependence of the atom-molecule coupling becomes crucial for understanding experimental results. We show how our many-body theory…

Statistical Mechanics · Physics 2014-10-13 G. M. Falco , H. T. C. Stoof

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 show that the atom-molecule mixture formed in a degenerate atomic Fermi gas with interspecies repulsion near a Feshbach resonance, constitutes a peculiar system where the atomic component is almost non-degenerate but quantum degeneracy…

Statistical Mechanics · Physics 2009-11-10 S. J. J. M. F. Kokkelmans , G. V. Shlyapnikov , C. Salomon

We study the extended Bose-Hubbard model on the square lattice at half filling as a function of next-nearest neighbor hopping amplitude and interaction strength. To variationally map out the phase diagram of this model, we develop a…

Strongly Correlated Electrons · Physics 2016-01-22 Hassan Shapourian , Bryan K. Clark

We study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive…

Quantum Gases · Physics 2012-04-17 Zhenhua Yu

The Feshbach resonance provides precise control over the scattering length and effective range of interactions between ultracold atoms. We propose the ultratransferable pseudopotential to model effective interaction ranges $-1.5 \leq…

Quantum Gases · Physics 2017-08-31 L. M. Schonenberg , P. C. Verpoort , G. J. Conduit

Coupled nonlinear Schrodinger equations for paraxial optics with two circular polarizations of light in a defocusing Kerr medium with anomalous dispersion coincide in form with the Gross-Pitaevskii equations for a binary Bose-Einstein…

Optics · Physics 2024-02-23 Victor P. Ruban

It is well-known that cold atoms near s-wave Feshbach resonances have universal properties that are insensitive to the short-range details of the interaction. What is less known is that atoms near higher partial wave Feshbach resonances…

Statistical Mechanics · Physics 2026-03-25 Shangguo Zhu , Shina Tan

We study the two-particle wave function of paired atoms in a Fermi gas with tunable interaction strengths controlled by Feshbach resonance. The Cooper pair wave function is examined for its bosonic characters, which is quantified by the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Y. H. Pong , C. K. Law

We develop a microscopic approach to the consistent construction of the kinetic theory of dilute weakly ionized gases of hydrogen-like atoms. The approach is based on the framework of the second quantization method in the presence of bound…

Statistical Mechanics · Physics 2016-12-08 Yu. V. Slyusarenko , O. Yu. Sliusarenko

In three spatial dimensions, in the unitary limit of a non-relativistic quantum Bose or Fermi gas, the scattering length diverges. This occurs at a renormalization group fixed point, thus these systems present interesting examples of…

Quantum Gases · Physics 2011-02-16 Pye-Ton How , Andre LeClair

Dilute Fermi systems with large s-wave scattering length a_s exhibit universal properties if the interparticle spacing r_o greatly exceeds the range of the underlying two-body interaction potential. In this regime, r_o is the only relevant…

Other Condensed Matter · Physics 2007-05-23 Ryan M. Kalas , D. Blume

Strongly confining an ultracold atomic gas in one direction to create a quasi-2D system alters the scattering properties of this gas. We investigate the effects of confinement on Feshbach scattering resonances and show that strong…

Condensed Matter · Physics 2009-11-10 M. Wouters , J. Tempere , J. T. Devreese

We study the dependence of the $p$-wave contact on the Fermi temperature $T_F$ and reduced temperature $T/T_F$ based on the number of closed-channel molecules. From the anisotropic pattern of dissociated molecules, we resolve the narrow…

Quantum Gases · Physics 2026-01-12 Kenta Nagase , Hikaru Takahashi , Soki Oshima , Takashi Mukaiyama

We study two-component Bose gases with Raman induced spin-orbit coupling via a perturbation approach at finite temperature. For weak coupling, free energy is expanded in terms of Raman coupling strength up to the second order, where the…

Quantum Gases · Physics 2016-04-01 Zeng-Qiang Yu