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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

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

We study the properties of coupled linear and nonlinear resonances. The fundamental phenomena and the level crossing scenarios are introduced for a nonlinear two-level system with one decaying state, describing the dynamics of a…

Other Condensed Matter · Physics 2008-08-12 D. Witthaut , E. M. Graefe , S. Wimberger , H. J. Korsch

We study the phase transition of a gas of Rb atoms to quantum degeneracy in the combined potential of a harmonically confining magnetic trap and the periodic potential of an optical lattice. For high optical lattice potentials we observe a…

Condensed Matter · Physics 2009-05-28 S. Burger , F. S. Cataliotti , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

A binary mixture of interacting Bose-Einstein condensates (BEC) in the presence of fragmentation-driving external lattice potentials forms two interdependent mean-field lattices made of each component. These effective mean-field lattices,…

Quantum Gases · Physics 2016-10-21 Hyunoo Shim , Thomas Bergeman

We discuss the dynamics of a Bose-Einstein condensate initially loaded into every third site of an optical lattice using a description based upon the discrete nonlinear Schrodinger equation. An analytic solution is developed for the case of…

Soft Condensed Matter · Physics 2016-08-31 Ana M. Rey , P. B. Blakie , Charles W. Clark

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

Mathematical Physics · Physics 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

The application of optical lattices allows a tuning of the geometry of Bose-Einstein condensates to effectively reduced dimensions. In the context of solid state physics the consideration of the low-dimensional Fr\"ohlich polaron results in…

Quantum Gases · Physics 2012-11-14 W. Casteels , J. Tempere , J. T. Devreese

Precision interferometry with atomic wavepackets confined in a one-dimensional optical lattice is an emergent paradigm in quantum sensing of forces and fields, with applications in gravimetry, accelerometry, geophysics, and fundamental…

Quantum Gases · Physics 2026-05-28 Emmett Hough , Tahiyat Rahman , Forest Tschirhart , Subhadeep Gupta

Feschbach resonances in a non-s-wave channel of two-component bosonic mixtures can induce atomic Bose Einstein condensates with a non-zero orbital momentum in the optical lattice, if one component is in the Mott insulator state and the…

Other Condensed Matter · Physics 2009-11-11 A. B. Kuklov

We derive and study the Bloch and Bogoliubov spectrum of a Bose-Einstein condensate (BEC) confined in a one-dimensional optical superlattice (created by interference between a primary optical lattice and a secondary optical lattice of small…

Statistical Mechanics · Physics 2009-11-11 Aranya B Bhattacherjee

We show that the Kapitza stabilization can occur in the context of nonlinear quantum fields. Through this phenomenon, an amplitude-modulated lattice can stabilize a Bose-Einstein condensate with repulsive interactions and prevent the…

Quantum Gases · Physics 2018-03-08 J. Martin , B. Georgeot , D. Guéry-Odelin , D. L. Shepelyansky

We report on the efficient design of quantum optimal control protocols to manipulate the motional states of an atomic Bose-Einstein condensate (BEC) in a one-dimensional optical lattice. Our protocols operate on the momentum comb associated…

Quantum Gases · Physics 2021-10-13 N. Dupont , G. Chatelain , L. Gabardos , M. Arnal , J. Billy , B. Peaudecerf , D. Sugny , D. Guéry-Odelin

We predict the loss of superfluidity in a Bose-Einstein condensate (BEC) trapped in a combined optical and axially-symmetric harmonic potentials during a resonant collective excitation initiated by a periodic modulation of the atomic…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

Screening in plasma with Bose-Einstein condensate is studied. Finite temperature effects are taken into account. It is shown that, due to condensate effects, the potential has several unusual features. It contains two oscillating terms, one…

High Energy Physics - Theory · Physics 2012-09-18 Angela Lepidi

We investigate the dynamics of vortices in repulsive Bose-Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap. The dynamics is sensitive to the phase of the OL potential relative to the magnetic…

Other Condensed Matter · Physics 2016-08-16 P. G. Kevrekidis , R. Carretero-González , G. Theocharis , D. J. Frantzeskakis , B. A. Malomed

The possibility that dark matter, whose existence is inferred from the study of the galactic rotation curves, and from the mass deficit in galaxy clusters, can be in a form of a Bose-Einstein Condensate, has been extensively investigated…

General Relativity and Quantum Cosmology · Physics 2015-09-01 Tiberiu Harko , Francisco S. N. Lobo

In this work we systematically investigate the condensate properties, superfluid properties and quantum phase transitions in interacting Bose gases trapped in disordered optical potentials. We numerically solve the Bose-Hubbard Hamiltonian…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pearl J. Y. Louis , Makoto Tsubota

We report the observation of vortex pinning in rotating gaseous Bose-Einstein condensates (BEC). The vortices are pinned to columnar pinning sites created by a co-rotating optical lattice superimposed on the rotating BEC. We study the…

Other Condensed Matter · Physics 2009-11-11 S. Tung , V. Schweikhard , E. A. Cornell

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
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