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Bose-Einstein condensation (BEC) of an ideal gas is investigated, beyond the thermodynamic limit, for a finite number $N$ of particles trapped in a generic three-dimensional power-law potential. We derive an analytical expression for the…

Quantum Gases · Physics 2019-04-04 Amine Jaouadi , Mourad Telmini , Eric Charron

Quench experiments on a unitary Bose gas around a broad Feshbach resonance have led to the discovery of universal dynamics. This universality is manifested in the measured atomic momentum distributions where, asymptotically, a…

Quantum Gases · Physics 2025-06-26 Ke Wang , Zhendong Zhang , Shu Nagata , Zhiqiang Wang , K. Levin

We investigate the prospects of controlling charge-exchange in ultracold collisions of heteroisotopic combinations of atoms and ions of the same element. The treatment, readily applicable to alkali or alkanine-earth metals, is illustrated…

Atomic Physics · Physics 2017-06-26 Marko Gacesa , Robin Côté

We discuss the long range nature of the molecules produced in recent experiments on molecular Bose-Einstein condensation. The properties of these molecules depend on the full two-body Hamiltonian and not just on the states of the system in…

Condensed Matter · Physics 2007-05-23 Thorsten Koehler , Thomas Gasenzer , Paul Julienne , Keith Burnett

We put forward a scheme for controlling Josephson-like tunneling in two-component Bose-Einstein condensates coupled with microwave field via Feshbach resonance and tuning aspect ratio of trapping potential. We prove how to realize a perfect…

Other Condensed Matter · Physics 2007-05-23 Bo Xiong , Weiping Zhang , W. M. Liu

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 consider a gas of neutral fermionic atoms at ultra-low temperatures, with the attractive interaction tuned to Feshbach resonance. We calculate, the variation of the chemical potential and the energy per particle as a function of…

Other Condensed Matter · Physics 2009-11-11 R. K. Bhaduri , M. V. N. Murthy , M. K. Srivastava

Ultracold molecules are associated from an atomic Bose-Einstein condensate by ramping a magnetic field across a Feshbach resonance. The reverse ramp dissociates the molecules. The kinetic energy released in the dissociation process is used…

Statistical Mechanics · Physics 2007-05-23 Stephan Dürr , Thomas Volz , Gerhard Rempe

We consider the stability of an ultracold trapped Bose-Einstein condensate near a Feshbach resonance. Using a modified Gross-Pitaevskii equation that includes higher-order terms and a multi-channel model of Feshbach resonances, we find…

Other Condensed Matter · Physics 2009-09-22 N. T. Zinner , M. Thøgersen

We present measurements of interspecies Feshbach resonances and subsequent creation of dual-species Bose-Einstein condensates of $^{23}\mathrm{Na}$ and $^{39}\mathrm{K}$. We prepare both optically trapped ensembles in the spin state…

We report on the experimental realization of a bosonic quantum degenerate mixture of highly-magnetic 168Er and nonmagnetic 174Yb. Quantum degeneracy is reached by forced evaporation in an all-optical trap. Formation of the two Bose-Einstein…

Quantum Gases · Physics 2023-04-03 Florian Schäfer , Yuki Haruna , Yoshiro Takahashi

We explore the Bose condensed phases of an atomic gas on the molecular side of a Feshbach resonance. In the absence of atom-molecule and molecule-molecule scattering, we show that the atomic condensate is either a saddle point of the free…

Other Condensed Matter · Physics 2007-05-23 Sourish Basu , Erich J. Mueller

We reveal the existence of high-density Feshbach resonances in the collision between the ground and metastable states of $^{171}$Yb and coherently produce the associated Feshbach molecules by photoassociation. The extremely small transition…

Atomic Physics · Physics 2016-02-01 Shintaro Taie , Shunsuke Watanabe , Tomohiro Ichinose , Yoshiro Takahashi

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

Feshbach resonances are the essential tool to control the interaction between atoms in ultracold quantum gases. They have found numerous experimental applications, opening up the way to important breakthroughs. This Review broadly covers…

Other Condensed Matter · Physics 2010-05-04 Cheng Chin , Rudolf Grimm , Paul Julienne , Eite Tiesinga

We study the coherent atomic tunneling between two zero-temperature Bose-Einstein condensates (BEC) confined in a double-well magnetic trap. Two Gross-Pitaevskii equations for the self-interacting BEC amplitudes, coupled by a transfer…

Soft Condensed Matter · Physics 2009-10-30 A. Smerzi , S. Fantoni , S. Giovanazzi , . R. Shenoy

We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

Mathematical Physics · Physics 2025-12-12 Daniele Ferretti , Kalle Koskinen

Theoretical treatments of non-equilibrium dynamics in strongly interacting Bose-Fermi mixtures are complicated by the inherent non-Gaussian nature of the vacuum two-body physics, invalidating the typical Hartree-Fock-Bogoliubov…

We analyze the dynamics of quantum statistics in a harmonically trapped Bose-Einstein condensate, whose two-body interaction strength is controlled via a Feshbach resonance. From an initially non-interacting coherent state, the quantum…

Other Condensed Matter · Physics 2008-02-19 S. Wuester , B. J. Dabrowska-Wuester , S. M. Scott , J. D. Close , C. M. Savage

The entropy of the coexisting gas of ultra cold fermionic atoms and Bosonic molecular condensate confined in a magnetic trap has been calculated from equation of motion approaches. We have found that the entropy production depends not only…

Quantum Gases · Physics 2013-07-24 M. N. Sinharoy
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