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This paper presents a mean-field numerical analysis, using the full three-dimensional time-dependent Gross-Pitaevskii equation (GPE), of an experiment carried out by Orzel et al. [Science 291, 2386 (2001)] intended to show number squeezing…

Other Condensed Matter · Physics 2016-08-31 S. B. McKagan , D. L. Feder , W. P. Reinhardt

We experimentally realize Rydberg excitations in Bose-Einstein condensates of rubidium atoms loaded into quasi one-dimensional traps and in optical lattices. Our results for condensates expanded to different sizes in the one-dimensional…

Quantum Gases · Physics 2011-03-23 M. Viteau , M. G. Bason , J. Radogostowicz , N. Malossi , D. Ciampini , O. Morsch , E. Arimondo

We report on experiments studying transport properties of an atomic Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$, where $n$ is an integer, realized with the dispersion of multiphoton Raman transitions. We…

Other Condensed Matter · Physics 2009-03-16 Tobias Salger , Gunnar Ritt , Carsten Geckeler , Sebastian Kling , Martin Weitz

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

The interplay between disorder and interactions is a "leit-motiv" of condensed matter physics, since it constitutes the driving mechanism of the metal-insulator transition. Bose-Einstein condensates in optical potentials are proving to be…

Disordered Systems and Neural Networks · Physics 2008-04-21 Leonardo Fallani , Chiara Fort , Massimo Inguscio

We study quantum squeezing and entanglement of gap solitons in a Bose-Einstein condensate loaded into a one-dimensional optical lattice. By employing a linearized quantum theory we find that quantum noise squeezing of gap solitons, produced…

Quantum Physics · Physics 2013-05-29 Ray-Kuang Lee , Elena A. Ostrovskaya , Yuri S. Kivshar , Yinchieh Lai

We study the dynamics of Bose-Einstein condensates in tilted and driven optical superlattices. For a bichromatic lattice, each Bloch band split up into two minibands such that the dynamics is governed by the interplay of Bloch oscillations…

Quantum Gases · Physics 2011-04-20 D. Witthaut , F. Trimborn , V. Kegel , H. J. Korsch

We consider the three-dimensional (3D) mean-field model for the Bose-Einstein condensate (BEC), with a 1D nonlinear lattice (NL), which periodically changes the sign of the nonlinearity along the axial direction, and the harmonic-oscillator…

Quantum Gases · Physics 2012-02-21 L. Salasnich , B. A. Malomed

The atom optics of Bose-Einstein condensates containing a vortex of circulation one is discussed. We first analyze in detail the reflection of such a condensate falling on an atomic mirror. In a second part, we consider a rotating…

Soft Condensed Matter · Physics 2007-05-23 I. Josopait , L. Dobrek , L. Santos , A. Sanpera , M. Lewenstein

We present our experimental investigations on the subject of nonlinearity-modified Bloch-oscillations and of nonlinear Landau-Zener tunneling between two energy bands in a rubidium Bose Einstein condensate in an accelerated periodic…

Other Condensed Matter · Physics 2007-08-06 Ennio Arimondo , Donatella Ciampini , Oliver Morsch

We study the vortex pinning effect in a Bose-Einstein Condensate in the presence of a rotating lattice potential by numerically solving the time-dependent Gross-Pitaevskii equation. We consider a triangular lattice potential created by…

Other Condensed Matter · Physics 2009-11-13 T. Sato , T. Ishiyama , T. Nikuni

A condensate in an optical lattice, prepared in the ground state of the superfluid regime, is stimulated first by suddenly increasing the optical lattice amplitude and then, after a waiting time, by abruptly decreasing this amplitude to its…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Roberto Franzosi

This review describes quantum systems of bosonic particles moving on a lattice. These models are relevant in statistical physics, and have natural ties with probability theory. The general setting is recalled and the main questions about…

Mathematical Physics · Physics 2007-05-23 D. Ueltschi

Bose-Einstein condensates of rubidium atoms are stored in a two-dimensional periodic dipole force potential, formed by a pair of standing wave laser fields. The resulting potential consists of a lattice of tightly confining tubes, each…

Soft Condensed Matter · Physics 2009-11-07 Markus Greiner , Immanuel Bloch , Olaf Mandel , Theodor W. Haensch , Tilman Esslinger

We study the effect of the transverse degrees of freedom on the velocity of sound in a Bose-Einstein condensate immersed in a one-dimensional optical lattice and radially confined by a harmonic trap. We compare the results of full…

Statistical Mechanics · Physics 2009-11-10 Meret Kraemer , Chiara Menotti , Michele Modugno

Motivated by recent experimental observations (C.V. Parker {\it et al.}, Nature Physics, {\bf 9}, 769 (2013)), we analyze the stability of a Bose-Einstein condensate (BEC) in a one-dimensional lattice subjected to periodic shaking. In such…

Quantum Gases · Physics 2014-08-06 Sayan Choudhury , Erich J Mueller

We experimentally investigate diffraction of a Rb-87 Bose-Einstein condensate from a 1D optical lattice. We use a range of lattice periods and timescales, including those beyond the Raman-Nath limit. We compare the results to quantum…

Quantum Physics · Physics 2013-05-29 J. H. Huckans , I. B. Spielman , B. Laburthe Tolra , W. D. Phillips , J. V. Porto

We study dynamics of a two-component Bose-Einstein condensate where the two components are coupled via an optical lattice. In particular, we focus on the dynamics as one drives the system through a critical point of a first order phase…

Quantum Gases · Physics 2015-05-14 Anssi Collin , Jani-Petri Martikainen , Jonas Larson

The expansion of an initially confined Bose-Einstein condensate into either free space or a tilted optical lattice is investigated in a mean-field approach. The effect of the interactions is to enhance or suppress the transport depending on…

Quantum Gases · Physics 2017-12-29 Samy Mailoud Sekkouri , Sandro Wimberger

We develop a multimode model that describes the dynamics on a rotating Bose-Einstein condensate confined by a ring-shaped optical lattice with large filling numbers. The parameters of the model are obtained as a function of the rotation…

Quantum Gases · Physics 2020-07-23 M Nigro , P Capuzzi , D M Jezek
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