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We discuss the transition of fermion systems to a condensate of Bose dimers, when the interaction is varied by use of a Feshbach resonance. We argue that there is an intermediate phase between the superfluid Fermi gas and the Bose…

Statistical Mechanics · Physics 2007-05-23 Aurel Bulgac , George F. Bertsch

We study ultracold three-body collisions of bosons and fermions when the interatomic interaction is tuned near a narrow Feshbach resonance. We show that the width of the resonance has a substantial impact on the collisional properties of…

Quantum Physics · Physics 2011-05-04 Yujun Wang , J. P. D'Incao , B. D. Esry

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

Many-body effects may influence properties, such as scattering parameters, nature of pairing, etc., close to a Feshbach resonance in the fermion BEC-BCS crossover problem. We study effects such as these using a tractable crossing-symmetric…

Quantum Gases · Physics 2015-06-05 Renyuan Liao , Khandker F. Quader

We create an ultracold dense quantum gas of ground state molecules bound by more than 1000 wavenumbers by stimulated two-photon transfer of molecules associated on a Feshbach resonance from a Bose-Einstein condensate of cesium atoms. The…

A method is introduced to renormalize the zero-range interaction for use in mean-field and many-body theory, starting from two-body calculations. The density-renormalized delta-function interaction is then applied using mean-field theory to…

Superconductivity · Physics 2015-06-25 Javier von Stecher , Chris H. Greene

Motivated by a recent experiment by ENS group on the mixture of Bose and Fermi superfluids (arxiv:1404.2548), we investigate the effective scattering between a bosonic atom and a molecule(dimer) of fermion atoms. It is found that the…

Quantum Gases · Physics 2014-10-30 Xiaoling Cui

We have loaded an ultracold gas of fermionic atoms into a far off resonance optical dipole trap and precisely controlled the spin composition of the trapped gas. We have measured a magnetic-field Feshbach resonance between atoms in the two…

Statistical Mechanics · Physics 2009-11-07 T. Loftus , C. A. Regal , C. Ticknor , J. L. Bohn , D. S. Jin

We consider the normal state of a dense ultracold atomic Fermi gas in the presence of a Feshbach resonance. We study the BCS and the molecular instabilities and their interplay, within the framework of a recent many-body approach. We find…

Statistical Mechanics · Physics 2007-05-23 R. Combescot

Within the framework of the variational approach the ground state is studied in a gas of Fermi atoms near the Feshbach resonance at negative scattering length. The structure of the originating superfluid state is formed by two coherently…

Other Condensed Matter · Physics 2007-05-23 Yu. Kagan , L. A. Maksimov

Particle-like excitations, or quasi-particles, emerging from interacting fermionic and bosonic quantum fields underlie many intriguing quantum phenomena in high energy and condensed matter systems. Computation of the properties of these…

Quantum Gases · Physics 2023-08-29 Krutik Patel , Geyue Cai , Henry Ando , Cheng Chin

The mean-field approximations of many-boson dynamics are known to be effective in many physical relevant situations. The mathematical justifications of such approximations rely generally on specific considerations which depend too much on…

Mathematical Physics · Physics 2018-10-29 Clément Rouffort

The time evolution of a dilute atomic boson-fermion mixture is studied at zero temperature, when the external magnetic field is brought close to a interspecies Feshbach resonance. On short time scales we find that before a collapse or phase…

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

We consider the problem of a single \down atom in the presence of a Fermi sea of \up atoms, in the vicinity of a Feshbach resonance. We calculate the chemical potential and the effective mass of the \down atom using two simple approaches: a…

Statistical Mechanics · Physics 2010-07-23 R. Combescot , A. Recati , C. Lobo , F. Chevy

We investigate the non-universal behavior of the BCS-BEC crossover model at the normal to superfluid transition. By using a finite temperature quantum field theoretical approach due to Nozieres and Schmitt-Rink and by making the effective…

Superconductivity · Physics 2007-05-23 L. M. Jensen

We derive a theory of superfluidity for a dilute Fermi gas that is valid when scattering resonances are present. The treatment of a resonance in many-body atomic physics requires a novel mean-field approach starting from an unconventional…

Soft Condensed Matter · Physics 2009-11-07 S. J. J. M. F. Kokkelmans , J. N. Milstein , M. L. Chiofalo , R. Walser , M. J. Holland

We investigate an ultracold Bose-Fermi mixture with a Feshbach resonance between two hyperfine states of fermions. Using a functional integral method, we calculate collective modes associated with fermion-pairs and bosons in a superfluid…

Other Condensed Matter · Physics 2007-06-13 Hiroyuki Shibata , Nobuhiko Yokoshi , Susumu Kurihara

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

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

The electromagnetic characteristics of the fractional quantum Hall states are studied by formulating an effective vector-field theory that takes into account projection to the exact Landau levels from the beginning. The effective theory is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. Shizuya