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We study the quantum phase transition in an atomic Bose gas near a Feshbach resonance in terms of the renormalization group. This quantum phase transition is characterized by an Ising order parameter. We show that in the low temperature…

Statistical Mechanics · Physics 2009-11-10 Yu-Wen Lee , Yu-Li Lee

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

We demonstrate a reversible conversion of a Li2 molecular Bose-Einstein condensate to a degenerate Fermi gas of atoms by adiabatically crossing a Feshbach resonance. By optical in situ imaging, we observe a smooth change of the cloud size…

Other Condensed Matter · Physics 2007-05-23 M. Bartenstein , A. Altmeyer , S. Riedl , S. Jochim , C. Chin , J. Hecker Denschlag , R. Grimm

Atomic interactions play an important role in the properties of ultracold atomic gases. In single component bosonic systems, its effect is already present at the critical point for the Bose-Einstein condensate phase transition by shifting…

Quantum Gases · Physics 2026-02-16 Pedro M. Gaspar , Vanderlei S. Bagnato , Patricia C. M. Castilho

We present a proposal for controlling the conversion of ultracold atoms into molecules by fixing the phase difference between two oscillating magnetic fields. The scheme is based on the use of a magnetic Feshbach resonance with a field…

Quantum Gases · Physics 2015-11-05 J. Plata

Dynamics of atomic and molecular bright solitons in a hybrid atom-molecular BEC (Bose Einstein Condensate) system of 85Rb coupled through Magnetic Feshbach Resonance (MFR) has been investigated. By solving the time independent…

Quantum Physics · Physics 2016-05-17 Krishna Rai Dastidar , Deb Shankar Ray

We show that in an atomic Fermi gas near a Feshbach resonance the crossover between a Bose-Einstein condensate of diatomic molecules and a Bose-Einstein condensate of Cooper pairs occurs at positive detuning, i.e., when the molecular energy…

Statistical Mechanics · Physics 2011-08-12 G. M. Falco , H. T. C. Stoof

As it was proposed and recently verified experimentally, the mechanism of Feshbach resonance in a condensate can create a second condensate component of molecules that coexists with the atomic condensate. In this work we investigate…

Photoassociation and the Feshbach resonance are, in principle, feasible means for creating a molecular Bose-Einstein condensate from an already-quantum-degenerate gas of atoms; however, mean-field shifts and irreversible decay place…

Atomic Physics · Physics 2009-11-07 Matt Mackie

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

Recently, effects of Feshbach resonances in atom-atom interactions were observed by varying the external magnetic field of an atomic Bose-Einstein condensate (BEC). We point out that the quasi-bound molecules created in the intermediate…

Condensed Matter · Physics 2019-08-17 Eddy Timmermans , Paolo Tommasini , Robin Cote , Mahir Hussein , Arthur Kerman

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…

In this paper, we investigate the atom-molecule conversion dynamics of a generalized many-body model that includes the atom-atom, atom-molecule, and molecule-molecule interactions, emphasizing the efficiency of the Feshbach molecular…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Jing Li , Di-Fa Ye , Chao Ma , Li-Bin Fu , Jie Liu

We discuss the effect of interatomic interactions on the condensation temperature $T_c$ of a laboratory atomic Bose-Einstein condensate under the influence of an external trapping magnetic field. We predict that accounting for hyperfine…

Quantum Gases · Physics 2014-09-16 Fabio Briscese , Sergei Sergeenkov , Marcela Grether , Manuel de Llano

A Bose-Einstein condensate may be prepared in a highly elongated harmonic trap with negligible interatomic interactions using a Feshbach resonance. If a strong repulsive interatomic interaction is switched on and the axial trap is removed…

Other Condensed Matter · Physics 2010-09-08 A. Ruschhaupt , A. del Campo , J. G. Muga

Controlling physical systems and their dynamics on the level of individual quanta propels both fundamental science and quantum technologies. Trapped atomic and molecular systems, neutral and charged, are at the forefront of quantum science.…

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

When the temperature of a trapped Bose gas is below the Bose-Einstein transition temperature and above absolute zero, the gas is composed of two distinct components: the Bose-Einstein condensate and the cloud of thermal excitations. The…

Analysis of PDEs · Mathematics 2021-07-09 Gheorghe Craciun , Minh-Binh Tran

Motivated by experiments on heteronuclear Feshbach resonances in Bose mixtures, we investigate s-wave pairing of two species of bosons in an optical lattice. The zero temperature phase diagram supports a rich array of superfluid and Mott…

Strongly Correlated Electrons · Physics 2013-05-29 M. J. Bhaseen , A. O. Silver , M. Hohenadler , B. D. Simons

We show that an ansatz based on independent composite bosons [Phys. Rep. 463, 215 (2008)] accurately describes the condensate fraction of molecular Bose-Einstein condensates in ultracold Fermi gases. The entanglement between the fermionic…

Quantum Gases · Physics 2017-02-22 P. Alexander Bouvrie , Malte C. Tichy , Itzhak Roditi