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We consider an ideal gas of Bose and Fermi atoms in a harmonic trap, with a Feshbach resonance in the interspecies atomic scattering that can lead to formation of fermionic molecules. We map out the phase diagram for this three-component…

Statistical Mechanics · Physics 2007-05-23 M. A. Morales , N. Nygaard , J. E. Williams , Charles W. Clark

We propose a new type of cooling mechanism for ultra-cold fermionic atom ensembles, which capitalizes on the energy dependence of inelastic collisions in the presence of a Feshbach resonance. We first discuss the case of a single magnetic…

Other Condensed Matter · Physics 2013-05-29 L. Mathey , Eite Tiesinga , Paul S. Julienne , Charles W. Clark

Atom-molecule equilibrium for molecular formation processes is discussed for boson-fermion, fermion-fermion, and boson-boson mixtures of ultracold atomic gases in the framework of quasichemical equilibrium theory. After presentation of the…

Soft Condensed Matter · Physics 2008-08-06 T. Nishimura , A. Matsumoto , H. Yabu

We present a nonequilibrium kinetic theory describing atom-molecule population dynamics in a two-component Fermi gas with a Feshbach resonance. Key collision integrals emerge that govern the relaxation of the atom-molecule mixture to…

Other Condensed Matter · Physics 2009-11-10 J. E. Williams , T. Nikuni , N. Nygaard , C. W. Clark

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 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 solve a model that describes a stimulated conversion between ultracold bosonic atoms and molecules. The reaction is triggered by a linearly time-dependent transition throughout the Feshbach resonance. Our solution predicts a…

Quantum Physics · Physics 2022-07-20 Rajesh K. Malla , Vladimir Y. Chernyak , Chen Sun , Nikolai A. Sinitsyn

Using a Feshbach resonance, we create ultracold fermionic molecules starting from a Bose-Fermi atom gas mixture. The resulting mixture of atoms and weakly bound molecules provides a rich system for studying few-body collisions because of…

Other Condensed Matter · Physics 2009-09-29 J. J. Zirbel , K. -K. Ni , S. Ospelkaus , J. P. D'Incao , C. E. Wieman , J. Ye , D. S. Jin

We optimize a collision-induced cooling process for ultracold atoms in the nondegenerate regime. It makes use of a Feshbach resonance, instead of rf radiation in evaporative cooling, to selectively expel hot atoms from a trap. Using…

Quantum Gases · Physics 2015-04-29 Marlon Nuske , Eite Tiesinga , L. Mathey

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 analyze the equilibration process between two either fermionic or bosonic reservoirs containing ultracold atoms with a fixed total number of particles that are weakly connected via a few-level quantum system. We allow for both the…

Understanding and controlling interactions of ultracold molecules is a cornerstone of quantum chemistry. While the laboratory creation of degenerate molecular gases comprised of bosonic atoms has unlocked powerful new platforms for quantum…

Quantum Gases · Physics 2025-12-30 Zhiqiang Wang , Ke Wang , Zhendong Zhang , Qijin Chen , Cheng Chin , K. Levin

This review describes recent experimental and theoretical advances in forming molecules in ultracold gases of trapped alkali metal atoms, both by magnetic tuning through Feshbach resonances and by photoassociation. Molecular Bose-Einstein…

Chemical Physics · Physics 2007-05-23 Jeremy M. Hutson , Pavel Soldan

The use of Feshbach resonances for tuning the interparticle interaction in ultracold Fermi gases has led to remarkable developments, in particular to the creation and Bose-Einstein condensation of weakly bound diatomic molecules of…

Other Condensed Matter · Physics 2008-10-13 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

We investigate evolution of the quantum coherence in the ultracold mixture of fermionic atoms and bosonic dimer molecules. Interactions are there experimentally controlled via tuning the external magnetic field. Consequently, the fermionic…

Superconductivity · Physics 2015-06-25 T. Domanski

The conversion of ultracold atoms to molecules via a magnetic Feshbach resonance with a sinusoidal modulation of the field is studied. Different practical realizations of this method in Bose atomic gases are analyzed. Our model incorporates…

Quantum Gases · Physics 2015-06-24 S. Brouard , J. Plata

We consider the properties of a gas of bosonic diatomic molecules in the limit when few of the molecules are dissociated. Taking into account the effects of dissociation and scattering among molecules and atoms, we calculate the dispersion…

Other Condensed Matter · Physics 2015-06-25 L. M. Jensen , H. Mäkelä , C. J. Pethick

Great advances in precision quantum measurement have been achieved with trapped ions and atomic gases at the lowest possible temperatures. These successes have inspired ideas to merge the two systems. In this way one can study the unique…

Quantum Physics · Physics 2023-03-21 T. Feldker , H. Fürst , H. Hirzler , N. V. Ewald , M. Mazzanti , D. Wiater , M. Tomza , R. Gerritsma

We theoretically examine a zero-temperature system of Fermi degenerate atoms coupled to bosonic molecules via collisionless rapid adiabatic passage across a Feshbach resonance, focusing on saturation of the molecular conversion efficiency…

Atomic Physics · Physics 2016-09-08 Matt Mackie , Olavi Dannenberg

We calculate the phase diagrams for a harmonically trapped ideal gas mixture of fermionic atoms and bosonic molecules in chemical and thermal equilibrium, where the internal energy of the molecules can be adjusted relative to that of the…

Statistical Mechanics · Physics 2009-11-10 J. E. Williams , N. Nygaard , C. W. Clark
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