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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 present a widely accessible and experimentally realizable technique for the controlled creation of dark-bright solitons and soliton lattices in atomic Bose-Einstein condensates. The method is based on preparing the condensate in a dark…

Quantum Gases · Physics 2026-04-02 Y. Braver , D. Burba , Th. Busch , G. Juzeliūnas , P. G. Kevrekidis

We consider spin-orbit coupled Bose Einstein Condensate in presence of linear and nonlinear optical lattices within the framework of quasi-one-dimensional Gross-Pitaevskii equation. The population imbalance between the states changes…

Quantum Gases · Physics 2023-10-12 Sumaita Sultana , Golam Ali Sekh

We consider a hybrid atom-optomechanical system consisting of a mechanical membrane inside an optical cavity and an atomic Bose-Einstein condensate outside the cavity. The condensate is confined in an optical lattice potential formed by a…

Quantum Gases · Physics 2021-03-03 Jia-Ming Cheng , Zheng-Wei Zhou , Guang-Can Guo , Han Pu , Xiang-Fa Zhou

We discuss typical experimental signatures for the Bose-Einstein condensation (BEC) of an ultracold Bose gas in an inhomogeneous optical lattice at finite temperature. Applying the Hartree-Fock-Bogoliubov-Popov formalism, we calculate…

Quantum Gases · Physics 2014-09-08 Ke-Ji Chen , Jingkun Wang , Wei Yi , Wei Zhang

We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky (GP) equation with a periodic potential, we employ an envelope…

Pattern Formation and Solitons · Physics 2009-11-11 Mason A. Porter , Marina Chugunova , Dmitry E. Pelinovsky

We relate the entropies of ensembles of atoms in optical lattices to atoms in simple traps. We then determine which ensembles of lattice-bound atoms will adiabatically transform into a Bose condensate. This shows a feasible approach to Bose…

Condensed Matter · Physics 2009-11-07 Maxim Olshanii , David Weiss

Employing a general variational method and perturbation theory, we derived explicit solutions for the description of one-dimensional two species Bose-Einstein condensates confined by a harmonic trap potential in an optical lattice. We…

Quantum Gases · Physics 2015-08-19 R. Cipolatti , L. Villegas-Lelovsky , M. C. Chung , C. Trallero-Giner

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

In the context of Gross-Pitaevskii theory, we investigate the unconventional Bose-Einstein condensations in the two-species mixture with $p$-wave symmetry in the second band of a bipartite optical lattice. A new imaginary-time propagation…

Quantum Gases · Physics 2016-06-01 Jhih-Shih You , I-Kang Liu , Daw-Wei Wang , Shih-Chuan Gou , Congjun Wu

The self-trapping phenomenon of Bose-Einstein condensates (BECs) in optical lattices is studied extensively by numerically solving the Gross-Pitaevskii equation. Our numerical results not only reproduce the phenomenon that was observed in a…

Other Condensed Matter · Physics 2007-05-23 Bingbing Wang , Panming Fu , Jie Liu , Biao Wu

Oscillations of atomic Bose-Einstein condensates in a 1D optical lattice with a two-point basis is investigated. In the low-frequency regime, four branches of modes are resolved, that correspond to the transverse in-phase and out-of-phase…

Other Condensed Matter · Physics 2009-11-11 C. C. Huang , W. C. Wu

We present a theoretical model to investigate the interference of an array of Bose-Einstein condensates loaded in a one-dimensional spin-dependent optical lattice, which is based on an assumption that for the atoms in the entangled…

Statistical Mechanics · Physics 2007-05-23 Linghua Wen , Min Liu , Hongwei Xiong , Mingsheng Zhan

We numerically study the dynamical excitations in Bose-Einstein condensate (BEC) placed in periodic and quasi-periodic 2D optical lattice (OL). In case of the repulsive mean-field interaction the BEC quantum tunnelling leads to a…

Pattern Formation and Solitons · Physics 2009-11-13 G. N. Burlak , A. B. Klimov

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

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

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 present in this paper an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site) targeting the critical regime of the Bose - Einstein Condensate superfluid - Mott insulator…

Other Condensed Matter · Physics 2013-05-29 Esteban Calzetta , Bei-Lok Hu , Ana Maria Rey

By direct numerical simulation of the time-dependent Gross-Pitaevskii equation we study different aspects of the localization of a non-interacting ideal Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic…

Quantum Gases · Physics 2015-05-13 S. K. Adhikari , L. Salasnich

Bose-Einstein condensate (BEC) exhibits a variety of fascinating and unexpected macroscopic phenomena, and has attracted sustained attention in recent years--particularly in the field of solitons and associated nonlinear phenomena.…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng