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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

Lasers provide intense coherent radiation, essential to cool and trap atoms into a Bose-Einstein condensate or can alternatively drive the non-linear dynamics of high-order harmonic generation. Yet, these two fundamental processes remained…

Quantum Physics · Physics 2025-10-14 Philipp Stammer

We derive closed analytical expressions for the order parameter $\Phi (x)$ and for the chemical potential $\mu $ of a Bose-Einstein Condensate loaded into a harmonically confined, one dimensional optical lattice, for sufficiently weak,…

Other Condensed Matter · Physics 2015-05-13 C. Trallero-Giner , V. Lopez-Richard , Ming-Chiang Chung , Andreas Buchleitner

We investigate a Bose-Einstein condensate trapped in a 2D optical lattice in the presence of weak disorder within the framework of the Bogoliubov theory. In particular, we analyze the combined effects of disorder and an optical lattice on…

Quantum Gases · Physics 2015-05-14 Ying Hu , Zhaoxin Liang , Bambi Hu

We show that the phenomenon of modulational instability in arrays of Bose-Einstein condensates confined to optical lattices gives rise to coherent spatial structures of localized excitations. These excitations represent thin disks in 1D,…

Soft Condensed Matter · Physics 2009-11-10 B. B. Baizakov , V. V. Konotop , M. Salerno

We study a dilute Bose gas of atoms whose scattering length a is large compared to the range of their interaction. We calculate the energy density of the homogeneous Bose-Einstein condensate to second order in the low-density expansion,…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer , Thomas Mehen

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 have experimentally studied the unstable dynamics of a harmonically trapped Bose-Einstein condensate loaded into a 1D moving optical lattice. The lifetime of the condensate in such a potential exhibits a dramatic dependence on the…

Soft Condensed Matter · Physics 2009-11-10 L. Fallani , L. De Sarlo , J. E. Lye , M. Modugno , R. Saers , C. Fort , M. Inguscio

In this paper the macroscopic quantum states of Bose-Einstein condensates in optical lattices is studied by solving the periodic Gross-Pitaevskii equation in one-dimensional geometry. It is shown that an exact solution seen to be a…

Other Condensed Matter · Physics 2015-06-25 G. -P. Zheng , J. -Q. Liang

We theoretically study binary Bose-Einstein condensates trapped in a single-well harmonic potential to probe the dynamics of collective atomic motion. The idea is to choose tunable scattering lengths through Feshbach resonances such that…

Quantum Gases · Physics 2020-07-01 Wei-Can Syu , Da-Shin Lee , Chi-Yong Lin

Quantum fluctuations of Bose-Einstein condensates trapped in disordered lattices are studied by inhomogeneous Bogoliubov theory. Weak-disorder perturbation theory is applied to compute the elastic scattering rate as well as the renormalized…

Quantum Gases · Physics 2013-03-15 Christopher Gaul , Cord A. Müller

We theoretically investigate the out-of-equilibrium dynamics in a binary Bose-Einstein condensate confined within two-dimensional box potentials. One species of the condensate interacts with a pair of oppositely wound, but otherwise…

Quantum Gases · Physics 2021-11-09 Madhura Ghosh Dastidar , Subrata Das , Koushik Mukherjee , Sonjoy Majumder

We have observed high-contrast matter wave interference between 30 Bose-Einstein condensates with uncorrelated phases. Interference patterns were observed after independent condensates were released from a one-dimensional optical lattice…

Quantum Physics · Physics 2007-05-23 Zoran Hadzibabic , Sabine Stock , Baptiste Battelier , Vincent Bretin , Jean Dalibard

We study the dynamics of Bose-Einstein condensates flowing in optical lattices on the basis of quantum field theory. For such a system, a Bose-Einstein condensate shows a unstable behavior which is called the dynamical instability. The…

Other Condensed Matter · Physics 2009-11-13 K. Kobayashi , M. Mine , M. Okumura , Y. Yamanaka

We consider the effects of an uncorrelated random potential on the properties of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross-Pitaevskii equation,…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Tiberiu Harko , Eniko J. Madarassy

A trapped Bose-Einstein condensate, being strongly perturbed, exhibits several spatial structures. First, there appear quantum vortices. Increasing the amount of the injected energy leads to the formation of vortex tangles representing…

Quantum Gases · Physics 2015-06-04 V. I. Yukalov , A. N. Novikov , V. S. Bagnato

We investigate the dynamics of an open Bose-Einstein condensate system consisting of two hyperfine states of the same atomic species which are coupled by tunable Raman laser. It is already suggested that the detuning between the laser…

Quantum Gases · Physics 2015-05-27 Yajiang Hao , Qiang Gu

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

Modern quantum engineering techniques allow for synthesizing quantum systems in exotic lattice geometries, from self-similar fractal networks to negatively curved hyperbolic graphs. We demonstrate that these structures profoundly reshape…

We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one correspondence between the stationary states with a fixed chemical…

Pattern Formation and Solitons · Physics 2026-02-20 G. L. Alfimov , A. P. Fedotov , Ya. A. Murenkov , D. A. Zezyulin