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We consider the evolution of a dilute Bose-Einstein condensate in an optical trap formed by a doughnut laser mode. By solving a one dimensional Gross-Pitaevskii equation and looking at the variance and the statistical entropy associated…

Soft Condensed Matter · Physics 2009-10-31 Pierre Villain , Patrik Ohberg , Maciej Lewenstein

Starting from the equations of rotational hydrodynamics we study the macroscopic behaviour of a trapped Bose-Einstein condensate containing a large number of vortices. The stationary configurations of the system, the frequencies of the…

Soft Condensed Matter · Physics 2009-11-07 Marco Cozzini , Sandro Stringari

We investigate experimentally a Bose Einstein condensate placed in a 1D optical lattice whose phase or amplitude is modulated in a frequency range resonant with the first bands of the band structure. We study the combined effect of the…

Quantum Gases · Physics 2019-09-04 C. Cabrera-Gutiérrez , E. Michon , M. Arnal , V. Brunaud , T. Kawalec , J. Billy , D. Guéry-Odelin

The dynamics of a 2D Bose-Einstein condensate in optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , B. B. Baizakov , V. V. Konotop

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

This article provides a synopsis of our recent experimental work exploring Bose-Einstein condensation in metastable higher Bloch bands of optical lattices. Bipartite lattice geometries have allowed us to implement appropriate band…

Quantum Gases · Physics 2016-02-04 T. Kock , C. Hippler , A. Ewerbeck , A. Hemmerich

The hydrodynamic equations of superfluids for a weakly interacting Bose gas are generalized to include the effects of periodic optical potentials produced by stationary laser beams. The new equations are characterized by a renormalized…

Condensed Matter · Physics 2009-11-07 M. Kraemer , L. Pitaevskii , S. Stringari

We discuss the possibility of exponential quantum localization in systems of ultracold bosonic atoms with repulsive interactions in open optical lattices without disorder. We show that exponential localization occurs in the maximally…

Quantum Gases · Physics 2010-12-17 Roberto Franzosi , Salvatore M. Giampaolo , Fabrizio Illuminati

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

The dynamics of a metastable attractive Bose-Einstein condensate trapped by a system of laser beams is analyzed in the presence of small fluctuations of the laser intensity. It is shown that the condensate will eventually collapse. The…

Soft Condensed Matter · Physics 2007-05-23 J. Garnier , F. Kh. Abdullaev , B. B. Baizakov

In this Letter we report the investigation of transport and static properties of a Bose-Einstein condensate in a large-spaced optical lattice. The lattice spacing can be easily tuned starting from few micrometers by adjusting the relative…

Other Condensed Matter · Physics 2009-11-11 Leonardo Fallani , Chiara Fort , Jessica Lye , Massimo Inguscio

We study the transport of atoms across a localized Bose-Einstein condensate in a one-dimensional optical lattice. For atoms scattering off the condensate we predict total reflection as well as full transmission for certain parameter values…

Pattern Formation and Solitons · Physics 2007-05-23 Rodrigo A. Vicencio , Joachim Brand , Sergej Flach

We develop a systematic analytical approach to study the linear and nonlinear solitary excitations of quasi-one-dimensional Bose-Einstein condensates trapped in an optical lattice. For the linear case, the Bloch wave in the $nth$ energy…

Other Condensed Matter · Physics 2009-11-13 D. L. Wang , X. H. Yan , W. M. Liu

Motivated by recent experiments, we explore the kinetics of Bose-Einstein condensation in the upper band of a double well optical lattice. These experiments engineer a non-equilibrium situation in which the highest energy state in the band…

Quantum Gases · Physics 2020-03-18 Vaibhav Sharma , Sayan Choudhury , Erich J. Mueller

By direct numerical simulation and variational solution of the Gross-Pitaevskii equation, we studied the stationary and dynamic characteristics of a cigar-shaped, localized, collisionally inhomogeneous Bose-Einstein condensate trapped in a…

Quantum Gases · Physics 2015-05-27 Yongshan Cheng , S. K. Adhikari

We study the effect of a one dimensional periodic potential on the dynamic structure factor of an interacting Bose Einstein condensate at zero temperature. We show that, due to phononic correlations, the excitation strength towards the…

Soft Condensed Matter · Physics 2009-11-07 C. Menotti , M. Kraemer , L. Pitaevskii , S. Stringari

We employ KAM theory to rigorously investigate quasiperiodic dynamics in cigar-shaped Bose-Einstein condensates (BEC) in periodic lattices and superlattices. Toward this end, we apply a coherent structure ansatz to the Gross-Pitaevskii…

Dynamical Systems · Mathematics 2007-05-23 Martijn van Noort , Mason A. Porter , Yingfei Yi , Shui-Nee Chow

We report experimental results on the dynamics and phase evolution of Bose-Einstein condensates in 1D optical lattices. The dynamical behaviour is studied by adiabatically loading the condensate into the lattice and subsequently switching…

Condensed Matter · Physics 2007-05-23 O. Morsch , M. Cristiani , J. H. Müller , D. Ciampini , E. Arimondo

We study the effect of atomic interaction on the localization and the associated dynamics of Bose-Einstein condensates in a one-dimensional quasiperiodic optical lattice and random Gaussian disordered potentials. When the interactions are…

Quantum Gases · Physics 2024-05-03 Swarup Sarkar , Tapan Mishra , Paulsamy Muruganandam , Pankaj K. Mishra

In Bose-Einstein condensates with an attractive contact interaction the stable ground state and an unstable excited state emerge in a tangent bifurcation at a critical value of the scattering length. At the bifurcation point both the…

Quantum Gases · Physics 2015-01-13 Jonas Brinker , Jacob Fuchs , Jörg Main , Günter Wunner , Holger Cartarius