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The phase transition from a superfluid to a Mott insulator has been observed in a $^{23}$Na Bose-Einstein condensate. A dye laser detuned $\approx 5$nm red of the Na $3^2$S$ \to 3^2$P$_{1/2}$ transition was used to form the three…

Other Condensed Matter · Physics 2009-11-11 K. Xu , Y. Liu , J. R. Abo-Shaeer , T. Mukaiyama , J. K. Chin , D. E. Miller , W. Ketterle , Kevin M. Jones , Eite Tiesinga

We consider a parametrically forced Bose-Einstein condensate in the combined presence of an optical lattice and harmonic oscillator potential in the mean field approach. A spatial symmetry broken Bose-condensed phase in non-inertial and…

Quantum Gases · Physics 2017-06-23 Priyam Das

We analyze an experimentally realizable model of bosons in a zig-zag optical lattice, showing that by rapidly modulating the magnetic field one can tune interaction parameters and realize an analog of the Haldane phase. We explain how…

Quantum Gases · Physics 2018-02-27 Junjun Xu , Qiang Gu , Erich J. Mueller

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 consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

The properties of the localized states of a two component Bose-Einstein condensate confined in a nonlinear periodic potential [nonlinear optical lattice] are investigated. We reveal the existence of new types of solitons and study their…

Other Condensed Matter · Physics 2009-11-13 F. Kh. Abdullaev , A. Gammal , M. Salerno , Lauro Tomio

We study the behavior of a Bose-Einstein condensate held in an optical lattice. We first show how a self-trapping transition can be induced in the system by either increasing the number of atoms occupying a lattice site, or by raising the…

Other Condensed Matter · Physics 2007-05-23 C. E. Creffield

We study the dynamics of Bose-Einstein condensates in accelerated two-dimensional optical square lattices by numerically solving the Gross-Pitaevskii equation. We consider the regime with negligible mean-field interactions and examine in…

Quantum Gases · Physics 2010-09-07 Wei-Chih Ting , Dian-Jiun Han , Shin-Tza Wu

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

We consider a two-component Bose-Einstein condensate in a one-dimensional optical cavity. Specifically, the condensate atoms are taken to be in two degenerate modes due to their internal hyperfine spin degrees of freedom and they are…

Quantum Gases · Physics 2016-08-14 Shabnam Safaei , Özgur Esat Müstecaplıoğlu , Bilal Tanatar

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 study the phase transitions in a one dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the…

Quantum Gases · Physics 2015-06-05 Zheng-Wei Zhou , Shao-Liang Zhang , Xiang-Fa Zhou , Guang-Can Guo , Xingxiang Zhou , Han Pu

Quantised sound waves -- phonons -- govern the elastic response of crystalline materials, and also play an integral part in determining their thermodynamic properties and electrical response (e.g., by binding electrons into superconducting…

We investigate a Bose-Einstein condensate held in a quasi-one-dimensional Wannier-Stark lattice which is a combination of linear potential with an accelerated optical lattice. It is demonstrated that the system can be reduced to a…

Quantum Physics · Physics 2015-05-13 Wenhua Hai , Gengbiao Lu , Honghua Zhong

A dense Bose gas with hard-core interaction is considered in an optical lattice. We study the phase diagram in terms of a special mean-field theory that describes a Bose-Einstein condensate and a Mott insulator with a single particle per…

Statistical Mechanics · Physics 2009-11-13 O. Fialko , Ch. Moseley , K. Ziegler

We experimentally study the scattering of guided matter waves on an amplitude-modulated optical lattice. We observe different types of frequency-dependent dips in the asymptotic output density distribution. Their positions are compared…

Phases of Bose or Fermi atoms in optical lattices confined in harmonic traps are studied within the Thomas-Fermi approximation. Critical radii and particle number for onset of Mott insulator states are calculated and phase diagrams shown in…

Superconductivity · Physics 2009-11-11 H. Heiselberg

We demonstrate a scheme for the Fourier synthesis of periodic optical potentials with asymmetric unit cells for atoms. In a proof of principle experiment, an atomic Bose-Einstein condensate is exposed to either symmetric or sawtooth-like…

Other Condensed Matter · Physics 2007-05-23 Gunnar Ritt , Carsten Geckeler , Tobias Salger , Giovanni Cennini , Martin Weitz

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 report on measurements of dynamical suppression of inter-well tunneling of a Bose-Einstein condensate (BEC) in a strongly driven optical lattice. The strong driving is a sinusoidal shaking of the lattice corresponding to a time-varying…

Other Condensed Matter · Physics 2009-11-13 H. Lignier , C. Sias , D. Ciampini , Y. Singh , A. Zenesini , O. Morsch , E. Arimondo