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In this paper, we study non-interacting bosons in a disordered one-dimensional optical lattice in a harmonic potential. We consider the case of deterministic disorder produced by an Aubry-Andr\'{e} potential. Using exact diagonalization, we…

Quantum Gases · Physics 2015-06-12 R. Ramakumar , A. N. Das

We study the localization phenomena in a one-dimensional lattice system with a uniformly moving disordered potential. At a low moving velocity, we find a sliding localized phase in which the initially localized matter wave adiabatically…

Quantum Gases · Physics 2023-07-06 Chenyue Guo , Zi Cai

We study the dynamical stability of Bose-Einstein condensates in an optical lattice with a time-periodic modulation potential and a constant acceleration force simultaneously. We derive the explicit expressions of quasienergies and obtain…

Quantum Gases · Physics 2015-05-18 Ning-Ju Hui , Xiao-Qiang Xu , You-Quan Li

We study the nonlinear localized modes in two-component Bose-Einstein condensates with parity-time-symmetric Scarf-II potential, which can be described by the coupled Gross-Pitaevskii equations. Firstly, we investigate the linear stability…

Mathematical Physics · Physics 2023-06-06 Jia-Rui Zhang , Xia Wang

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

Numerous exact solutions to the nonlinear mean-field equations of motion are constructed for multicomponent Bose-Einstein condensates on one, two, and three dimensional optical lattices. We find both stationary and nonstationary solutions,…

Other Condensed Matter · Physics 2009-11-13 R. Mark Bradley , James E. Bernard , L. D. Carr

We examine the stability of quasi-two-dimensional dipolar Bose-Einstein condensates in the presence of weak optical lattices of various geometries. We find that when the condensate possesses a roton-maxon quasiparticle dispersion, the…

Quantum Gases · Physics 2015-06-15 John P. Corson , Ryan M. Wilson , John L. Bohn

We consider the manipulation of Bose-Einstein condensate vortices by optical potentials generated by focused laser beams. It is shown that for appropriate choices of the laser strength and width it is possible to successfully transport…

Pattern Formation and Solitons · Physics 2012-05-11 M. C. Davis , R Carretero-González , Z. Shi , K. J. H. Law , P. G. Kevrekidis , B. P. Anderson

The mode structure of a Bose-Einstein condensate non-adiabatically loaded into a one-dimensional optical lattice is studied by analyzing the visibility of the interference pattern as well as the radial profile of the condensate after a…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , J. H. Müller , D. Ciampini , M. Cristiani , P. B. Blakie , C. J. Williams , P. S. Julienne , E. Arimondo

We report the experimental observation of the disruption of the superfluid atomic current flowing through an array of weakly linked Bose-Einstein condensates. The condensates are trapped in an optical lattice superimposed on a harmonic…

Soft Condensed Matter · Physics 2009-11-10 F. S. Cataliotti , L. Fallani , F. Ferlaino , C. Fort , P. Maddaloni , M. Inguscio

Vortex states of weakly-interacting Bose-Einstein condensates confined in three-dimensional rotating harmonic traps are investigated numerically at zero temperature. The ground state in the rotating frame is obtained by propagating the…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Charles W. Clark , Barry I. Schneider

We demonstrate that there exist stationary states of Bose-Einstein condensates in an optical lattice that do not satisfy the usual Bloch periodicity condition. Using the discrete model appropriate to the tight-binding limit we determine…

Soft Condensed Matter · Physics 2009-11-10 M. Machholm , A. Nicolin , C. J. Pethick , H. Smith

We simulate three experimental methods which could be realized in the laboratory to probe the band excitation energies and the momentum distribution of a Bose-Einstein condensate inside an optical lattice. The values of the excitation…

Statistical Mechanics · Physics 2009-10-31 M. L. Chiofalo , S. Succi , M. P. Tosi

We investigate the effects of disorder and lattice geometry against localisation phenomena in a weakly interacting ultracold bosonic gas confined in a 2D optical lattice. The behaviour of the quantum fluid is studied at the mean-field level…

We investigate localized atomic matter waves in two-component Bose-Einstein condensates coupled by the two photon microwave field. Interestingly, the oscillations of localized atomic matter waves will gradually decay and finally become…

Pattern Formation and Solitons · Physics 2015-06-26 Bo Xiong

We observe a sudden breakdown of the transport of a strongly repulsive Bose-Einstein condensate through a shallow optical lattice of finite width. We are able to attribute this behavior to the development of a self-trapped state by using…

Quantum Physics · Physics 2008-06-12 M. Rosenkranz , D. Jaksch , F. Y. Lim , W. Bao

We study the nonequilibrium dynamics of a Bose-Einstein condensate which is split in a harmonic trap by turning up a periodic optical lattice potential. We evaluate the dynamical evolution of the phase coherence along the lattice and the…

Statistical Mechanics · Physics 2016-08-31 Lorenzo Isella , Janne Ruostekoski

We propose to observe Anderson localization of ultracold atoms in the presence of a random potential made of atoms of another species and trapped at the nodes of an optical lattice, with a filling factor less than unity. Such systems enable…

Other Condensed Matter · Physics 2009-11-10 U. Gavish , Y. Castin

We derive exact solitonic solutions of a class of Gross-Pitaevskii equations with time-dependent harmonic trapping potential and interatomic interaction. We find families of exact single-solitonic, multi-solitonic, and solitary wave…

Quantum Gases · Physics 2015-05-13 U. Al Khawaja

We examine spatial localisation and dynamical stability of Bose-Einstein condensates of exciton-polaritons in microcavities under the condition of off-resonant spatially inhomogeneous optical pumping both with and without a harmonic…

Other Condensed Matter · Physics 2015-06-05 Elena A. Ostrovskaya , Jasur Abdullaev , Anton S. Desyatnikov , Michael D. Fraser , Yuri S. Kivshar