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The phenomenon of dynamical localization of matter wave solitons in optical lattices is first demonstrated and the conditions for its existence are discussed. In addition to the trapping linear periodic potential we use a periodic…

Other Condensed Matter · Physics 2009-12-23 Yu. V. Bludov , V. V. Konotop , M. Salerno

We suggest an experiment to investigate the linear superposition of two spatially separated Bose-Einstein condensates. Due to the coherent combination of the two wave functions, the dynamic structure factor, measurable through inelastic…

Condensed Matter · Physics 2009-10-31 L. Pitaevskii , S. Stringari

We study the time evolution of a Bose-Einstein condensate in an accelerated optical lattice. When the condensate has a narrow quasimomentum distribution and the optical lattice is shallow, the survival probability in the ground band…

By numerical simulation of the time-dependent Gross-Pitaevskii equation we show that a weakly interacting or noninteracting Bose-Einstein condensate (BEC) vortex can be localized in a three-dimensional bichromatic quasi-periodic…

Quantum Gases · Physics 2015-05-18 S. K. Adhikari

We study the collapse of an attractive atomic Bose-Einstein condensate prepared in the uniform potential of an optical-box trap. We characterise the critical point for collapse and the collapse dynamics, observing universal behaviour in…

By accelerating a Bose-Einstein condensate in a controlled way across the edge of the Brillouin zone of a 1D optical lattice, we investigate the stability of the condensate in the vicinity of the zone edge. Through an analysis of the…

Condensed Matter · Physics 2009-11-10 M. Cristiani , O. Morsch , N. Malossi , M. Jona-Lasinio , M. Anderlini , E. Courtade , E. Arimondo

We observe the formation of momentum distributions indicative of spatial period-doubling of superfluid Bose-Einstein condensates in periodically translated optical lattices. The effect is attributed to dynamic instability of the condensate…

Other Condensed Matter · Physics 2013-05-29 Nathan Gemelke , Edina Sarajlic , Yannick Bidel , Seokchan Hong , Steven Chu

We study quantum effects in the dynamics of a Bose-Einstein condensate loaded onto the edge of a Brillouin zone of a one-dimensional periodic potential created by an optical lattice. We show that quantum fluctuations trigger the dynamical…

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

We demonstrate that nonlinearity plays a constructive role in supporting the robustness of dynamical localization in a model which is discrete, in one dimension and continuous in the orthogonal one. In the linear regime, time-periodic…

Pattern Formation and Solitons · Physics 2018-06-27 R. Driben , V. V. Konotop , B. A. Malomed , T. Meier , A. V. Yulin

A Bose-Einstein condensate is dispersively coupled to a single mode of an ultra-high finesse optical cavity. The system is governed by strong interactions between the atomic motion and the light field even at the level of single quanta.…

We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we…

Condensed Matter · Physics 2009-11-07 Pearl J. Y. Louis , Elena A. Ostrovskaya , Craig M. Savage , Yuri S. Kivshar

We investigate the potential for controlling a non-interacting Bose-Einstein condensate loaded into a one-dimensional optical superlattice. Our control strategy combines Bloch oscillations originating from accelerating the lattice and from…

Quantum Physics · Physics 2017-01-11 Brendan Reid , Maria Moreno-Cardoner , Jacob Sherson , Gabriele De Chiara

We investigate the dynamics of a Bose-Einstein condensate held in an optical lattice under the influence of a strong periodic driving potential. Studying the mean-field version of the Bose-Hubbard model reveals that the condensate becomes…

Other Condensed Matter · Physics 2009-06-08 C. E. Creffield

We study the dynamics of Bose-Einstein condensed atoms in a 1-D optical lattice potential in a regime where the collective (Josephson) tunneling energy is comparable with the on-site interaction energy, and the number of particles per…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. K. Tuchman , W. Li , H. Chien , S. Dettmer , M. A. Kasevich

We consider the Bose-Einstein condensate trapped in optical lattice, which is formed from two kinds of deep potentials. The tight-binding approximation was used. Steady state distribution of the probability amplitudes and the site…

Pattern Formation and Solitons · Physics 2007-12-12 Ekaterina A. Sorokina , Andrei I. Maimistov

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

We have performed a number of experiments with a Bose-Einstein condensate (BEC) in a one dimensional optical lattice. Making use of the small momentum spread of a BEC and standard atom optics techniques a high level of coherent control over…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J Hecker Denschlag , J E Simsarian , H Haeffner , C McKenzie , A Browaeys , D Cho , K Helmerson , S L Rolston , W D Phillips

We explore the effect of transverse confinement on the stability of a Bose-Einstein condensate (BEC) loaded in a shaken one-dimensional or two-dimensional square lattice. We calculate the decay rate from two-particle collisions. We predict…

Quantum Gases · Physics 2016-02-12 Sayan Choudhury , Erich J. Mueller

The spin dynamics of atomic Bose-Einstein condensates confined in a one-dimensional optical lattice is studied. The condensates at each lattice site behave like spin magnets that can interact with each other through both the light-induced…

Soft Condensed Matter · Physics 2009-11-07 Weiping Zhang , Han Pu , Chris Search , Pierre Meystre