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The realization of Bose-Einstein condensation in ultracold trapped gases has led to a revival of interest in that fascinating quantum phenomenon. This experimental achievement necessitated both extremely low temperatures and sufficiently…

Quantum Gases · Physics 2021-02-22 Mihály Máté , Örs Legeza , Rolf Schilling , Mason Yousif , Christian Schilling

A Gaussian ansatz for the wave function of two-dimensional harmonically trapped anisotropic Bose-Einstein condensates is shown to lead, via a variational procedure, to a coupled system of two second-order, nonlinear ordinary differential…

Condensed Matter · Physics 2009-11-07 F. Haas

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

In this article we introduce a multi-modal variational method to analytically estimate the full number- and corresponding energy-density profile of a spin-1 Bose-Einstein condensate (BEC) for a number of particles as low as 500 under…

Quantum Gases · Physics 2023-01-18 Projjwal K. Kanjilal , A. Bhattacharyay

We consider a Bose-Einstein condensate in a double-well potential undergoing a dynamical transition from the regime of Josephson oscillations to the regime of self-trapping. We analyze the statistical properties of the ground state (or the…

Quantum Gases · Physics 2010-05-13 B. Julia-Diaz , D. Dagnino , M. Lewenstein , J. Martorell , A. Polls

We analyze the localization of a Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic optical-lattice potential by numerically solving the 1D Gross-Pitaevskii equation (1D GPE). We first derive the 1D GPE from the…

Quantum Gases · Physics 2016-01-26 L. Salasnich , S. K. Adhikari

We study a modified three-dimensional Gross-Pitaevski equation that describes a static impurity in a dipolar Bose-Einstein condensate (BEC). Our focus is on the interplay between the shape of the impurity and the anisotropy of the medium…

Quantum Gases · Physics 2024-11-28 Neelam Shukla , Artem G. Volosniev , Jeremy R. Armstrong

The dynamical behavior of Bose-Einstein condensation (BEC) in a gas with attractive interactions is striking. Quantum theory predicts that BEC of a spatially homogeneous gas with attractive interactions is precluded by a conventional phase…

Condensed Matter · Physics 2009-10-31 Jordan M. Gerton , Dmitry Strekalov , Ionut Prodan , Randall G. Hulet

We calculate the vortex structures of an elongated two-component Bose-Einstein condensate. We study how these structures depend on the intra-component and inter-component interaction strengths. We present analytic and numeric results…

Quantum Gases · Physics 2011-12-09 Ran Wei , Erich Mueller

We give an overview on current experiments on Bose-Einstein condensation (BEC) in a one-dimensional (1D) optical lattice. We introduce measurements of ground state, tunnelling and dynamical properties as well as investigations of atom…

Condensed Matter · Physics 2015-09-11 S. Burger , F. S. Cataliotti , F. Ferlaino , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

As an atomic Bose Einstein condensate (BEC) is coupled to a source of uncondensed atoms at the same temperature and to a sink (extraction towards an atom laser) the idealized description in terms of a Gross-Pitaevsky equation (GP) no longer…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. T. Arecchi , J. Bragard , L. M. Castellano

Bose-Einstein condensation has been achieved in a magnetic surface micro trap with 4x10^5 87Rb atoms. The strongly anisotropic trapping potential is generated by a microstructure which consists of microfabricated linear copper conductors at…

Statistical Mechanics · Physics 2017-08-16 H. Ott , J. Fortagh , G. Schlotterbeck , A. Grossmann , C. Zimmermann

By exact numerical solutions of the Gross-Pitaevskii (GP) equation in 3D, we assess the validity of 1D and 2D approximations in the study of Bose-Einstein condensates confined in harmonic trap potentials. Typically, these approximations are…

Bose-Einstein condensates (BECs) confined on shell-shaped surfaces have been proposed as a platform for exploring many nontrivial quantum phenomena on curved spaces. However, as the shell-shaped trapping potential generated with the…

Quantum Gases · Physics 2022-12-21 Fan Jia , Zerong Huang , Liyuan Qiu , Rongzi Zhou , Yangqian Yan , Dajun Wang

We investigate systems of interacting bosonic particles confined within slab-like boxes of size L^2 x Z with Z<<L, at their three-dimensional (3D) BEC transition temperature T_c, and below T_c where they experience a quasi-2D…

Quantum Gases · Physics 2017-11-01 Francesco Delfino , Ettore Vicari

We identify all possible classes of solutions for two-component Bose-Einstein condensates (BECs) within the Thomas-Fermi (TF) approximation, and check these results against numerical simulations of the coupled Gross-Pitaevskii equations…

Condensed Matter · Physics 2007-05-23 M. Trippenbach , K. Goral , K. Rzazewski , B. A. Malomed , Y. B. Band

We investigate some aspects of the Bose-Einstein condensation (BEC) of quantum gases in the presence of inhomogeneous conditions. We consider three-dimensional (3D) quantum gases trapped by an external potential when the temperature is…

Quantum Gases · Physics 2017-05-10 Francesco Delfino , Ettore Vicari

We report observation of Bose-Einstein condensation of a trapped, dilute gas of atomic hydrogen. The condensate and normal gas are studied by two-photon spectroscopy of the 1S-2S transition. Interactions among the atoms produce a shift of…

Quasi one dimensional Bose-Einstein condensates (BECs) in elongated traps exhibit significant phase fluctuations even at very low temperatures. We present recent experimental results on the dynamic transformation of phase fluctuations into…

In this work, we consider quasi-one-dimensional Bose-Einstein condensates (BECs), with spatially varying collisional interactions, trapped in double well potentials. In particular, we study a setup in which such a 'collisionally…

Pattern Formation and Solitons · Physics 2015-05-13 C. Wang , P. G. Kevrekidis , N. Whitaker , D. J. Frantzeskakis , P. Schmelcher , S. Middelkamp