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Many bosons can occupy a single quantum state without a limit. This state is described by quantum-mechanical Bose-Einstein statistics, which allows the formation of a Bose-Einstein condensate at low temperatures and high particle densities.…

We investigate the Bose-Einstein condensation (BEC, superfluidity) of particle-hole pairs in ultracold Fermionic atoms with repulsive interactionsand arbitrary polarization, which are trapped within optical lattices. Near a Feshbach…

Atomic Physics · Physics 2007-05-23 Chaohong Lee

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

We discuss typical experimental signatures for the Bose-Einstein condensation (BEC) of an ultracold Bose gas in an inhomogeneous optical lattice at finite temperature. Applying the Hartree-Fock-Bogoliubov-Popov formalism, we calculate…

Quantum Gases · Physics 2014-09-08 Ke-Ji Chen , Jingkun Wang , Wei Yi , Wei Zhang

The fundamental phenomenon of Bose-Einstein Condensation (BEC) has been observed in different systems of real and quasi-particles. The condensation of real particles is achieved through a major reduction in temperature while for…

There is a long standing problem about how close a connection exists between superfluidity and Bose condensation. Employing recent technology, for the case of confined finite Bose condensed systems in TOP traps, these questions concerning…

Statistical Mechanics · Physics 2007-05-23 Juhao Wu , A. Widom

We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The…

Quantum Gases · Physics 2019-11-04 Ofir E. Alon

We present an analytically solvable theory of Bose-Einstein condensation in thin film geometries. Analytical closed-form expressions for the critical temperature are obtained in both the low-to-moderate confinement regime (where the film…

Quantum Gases · Physics 2022-03-31 Riccardo Travaglino , Alessio Zaccone

The dynamics of collapsing and exploding trapped Bose-Einstein condensat es caused by a sudden switch of interactions from repulsive to attractive a re studied by numerically integrating the Gross-Pitaevskii equation with atomic loss for an…

Condensed Matter · Physics 2016-08-31 Hiroki Saito , Masahito Ueda

We report the realization of Bose-Einstein condensates of 39K atoms without the aid of an additional atomic coolant. Our route to Bose-Einstein condensation comprises Sub Doppler laser cooling of large atomic clouds with more than 10^10…

We consider the ground state of a trapped Bose-Einstein condensate in two dimensions. In the mean-field approximation, the ground state density profile satisfies the Gross-Pitaevskii equation. We compute the leading quantum corrections to…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Haarek Haugerud

We outline the general features of the conventional mean-field theory for the description of Bose-Einstein condensates at near zero temperatures. This approach, based on a phenomenological model, appears to give excellent agreement with…

Statistical Mechanics · Physics 2009-10-30 N. P. Proukakis , K. Burnett

We theoretically investigate the optical focusing of a rubidium Bose-Einstein condensate onto a planar surface. Our analysis uses a Gaussian variational method that includes the effects of two-body atom-atom interactions and three-body…

Quantum Physics · Physics 2021-06-23 A. M. Kordbacheh , S. S. Szigeti , A. M. Martin

Processes of association in an atomic Bose-Einstein condensate, and dissociation of the resulting molecular condensate, due to Feshbach resonance in a time-dependent magnetic field, are analyzed incorporating non-mean-field quantum…

Condensed Matter · Physics 2007-05-23 V. A. Yurovsky , A. Ben-Reuven

We have transported gaseous Bose-Einstein condensates over distances up to 44 cm. This was accomplished by trapping the condensate in the focus of an infrared laser and translating the location of the laser focus with controlled…

Soft Condensed Matter · Physics 2009-11-07 T. L. Gustavson , A. P. Chikkatur , A. E. Leanhardt , A. Gorlitz , S. Gupta , D. E. Pritchard , W. Ketterle

Phase transitions are well understood and generally followed by the behavior of the associated thermodynamic quantities, such as in the case of the $\lambda$ point superfluid transition of liquid helium, which is observed in its heat…

We report the realization of a Bose-Einstein condensate of europium atoms, which is a strongly dipolar species with unique properties, a highly symmetric $[\mathrm{Xe}]\ 4f^7 6s^2\ {}^8\mathrm{S}_{7/2}$ electronic ground state and a…

Quantum Gases · Physics 2022-12-07 Yuki Miyazawa , Ryotaro Inoue , Hiroki Matsui , Gyohei Nomura , Mikio Kozuma

We explore the phenomenon of Bose-Einstein condensation in two and one-dimensional Dunkl-boson gases confined within a power-law potential, employing the framework of Dunkl-deformed boson theory. Our investigation involves the calculation…

Quantum Gases · Physics 2025-08-06 A. Hocine , F. Merabtine , B. Hamil , B. C. Lütfüoğlu , M. Benarous

In two-dimensional traps, since the theoretical study of Bose-Einstein condensation (BEC) will encounter the problem of divergence, the actual contribution of the divergent terms is often estimated in some indirect ways with the accuracy to…

Quantum Gases · Physics 2019-05-03 Mi Xie

We study the thermodynamics of Bose-Einstein condensation in a weakly interacting quasi-homogeneous atomic gas, prepared in an optical-box trap. We characterise the critical point for condensation and observe saturation of the thermal…