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A mean field theory of expanding hybrid atom-molecule Bose-Einstein condensates is applied to the recent MPI experiments on ${}^{87}$Rb that demonstrated the formation of ultracold molecules due to Feshbach resonance. The subsequent…

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

We consider scattering atoms from a fully Bose-Einstein condensed gas. If we take these atoms to be identical to those in the Bose-Einstein condensate, this scattering process is to a large extent analogous to Andreev reflection from the…

Statistical Mechanics · Physics 2014-10-13 M. J. Bijlsma , H. T. C. Stoof

We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with time-independent external potential. For the stationary states with zero flow density the general…

Quantum Physics · Physics 2009-11-13 Wenhua Hai , Guishu Chong , Jianwen Song

We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an…

Quantum Gases · Physics 2026-04-03 Sk Siddik , Golam Ali Sekh

A Bose-Einstein condensate in an external potential consisting of a superposition of a harmonic and a random potential is considered theoretically. From a semi-quantitative analysis we find the size, shape and excitation energy as a…

Statistical Mechanics · Physics 2009-11-13 T. Nattermann , V. L. Pokrovsky

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

Mathematical Physics · Physics 2021-01-01 Maximilian Pechmann

Mean field approximation treats only coherent aspects of the evolution of a Bose Einstein condensate. However, in many experiments some atoms scatter out of the condensate. We study an analytic model of two counter-propagating atomic…

Other Condensed Matter · Physics 2009-11-10 P. Zin , J. Chwedenczuk , A. Perez , K. Rzazewski , M. Trippenbach

We study the zero-temperature grand potential of a three-dimensional superfluid made of ultracold fermionic alkali-metal atoms in the BCS-BEC crossover. In particular, we analyze the zero-point energy of both fermionic single-particle…

Quantum Gases · Physics 2015-03-13 L. Salasnich , G. Bighin

We formulate the basic theoretical methods for Bose-Einstein Condensation of atoms close to a Feshbach resonance, in which the tunable scattering length of the atoms is described using a system of coupled atom and molecule fields. These…

Atomic and Molecular Clusters · Physics 2011-09-15 Catarina E Sahlberg , C W Gardiner

The evolution of atomic solitary waves in Bose-Einstein condensate (BEC) under adiabatic changes of the atomic scattering length is investigated. The variations of amplitude, width, and velocity of soliton are found for both spatial and…

Condensed Matter · Physics 2009-11-10 F. Kh. Abdullaev , Mario Salerno

Trapped bosonic atoms can be cooled down to temperatures where the atomic cloud experiences Bose-Einstein condensation. Almost all atoms in a dilute gaseous system can be Bose-condensed, which implies that this system is in a coherent…

Quantum Gases · Physics 2024-06-27 V. I. Yukalov , E. P. Yukalova

We study a finite-time thermodynamic refrigeration cycle realized numerically in three-dimensional, weakly interacting Bose-Einstein condensates (BECs). The setup consists of three spatially separated condensates -- system, piston, and…

Chemical chain reactions are known to enable extremely sensitive detection schemes in chemical, biological, and medical analysis, and have even been used in the search for dark matter. Here we show that coherent, ultracold chemical…

Quantum Gases · Physics 2022-08-15 Seong-Ho Shinn , Uwe R. Fischer , Daniel Braun

We analyze the coherent formation of molecular BEC from an atomic BEC, using a parametric field theory approach. We point out the transition between a quantum soliton regime, where atoms couple in a local way - to a classical soliton…

Statistical Mechanics · Physics 2009-11-07 P. D. Drummond , K. V. Kheruntsyan , H. He

Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose-Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the…

High Energy Physics - Theory · Physics 2015-01-16 Xiuming Zhang , Chi Tian

We study the coupled atom-molecular quantized ring vortices of 87Rb Bose-Einstein Condensates (BEC) trapped in a rotating three dimensional (3D) anisotropic cylindrical trap both in time independent and time-dependent Gross-Pitaevskii…

Quantum Gases · Physics 2020-04-22 Sreoshi Dutta , Krishna Rai Dastidar , Chanchal Chaudhuri

In trapped Bose-Einstein condensates (BECs), \emph{condensate growth} refers to the process in which an increasing number of quasi-particles are immediately transferred from the non-condensate state (the thermal cloud) into the condensate…

Mathematical Physics · Physics 2025-12-23 Gigliola Staffilani , Minh-Binh Tran

We have produced a Bose-Einstein condensate of metastable helium (4He*) containing over 1.5x10^7 atoms, which is a factor of 25 higher than previously achieved. The improved starting conditions for evaporative cooling are obtained by…

Other Condensed Matter · Physics 2007-05-23 A. S. Tychkov , T. Jeltes , J. M. McNamara , P. J. J. Tol , N. Herschbach , W. Hogervorst , W. Vassen

Bose-Einstein condensation in alkali atoms has materialized quite an interesting system, namely a condensate with a spin degree of freedom. In analogy with the A-phase of the superfluid $^3$He, numerous textures with nonvanishing vorticity…

Condensed Matter · Physics 2009-10-31 Mikio Nakahara , Tomoya Isoshima , Kazushige Machida , Shin-ichiro Ogawa , Tetsuo Ohmi

Condensate of spin-1 atoms frozen in a unique spatial mode may possess large internal degrees of freedom. The scattering amplitudes of polarized cold atoms scattered by the condensate are obtained with the method of fractional parentage…

Quantum Gases · Physics 2018-05-09 Zhibing Li , Chengguang Bao , Wei Zheng
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