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The exact macroscopic wave functions of two-species Bose-Einstein condensates in an optical lattice beyond the tight-binding approximation are studied by solving the coupled nonlinear Schrodinger equations. The phase diagram for superfluid…

Soft Condensed Matter · Physics 2009-11-11 G. -P. Zheng , J. -Q. Liang , W. M. Liu

We study dynamics of a two-component Bose-Einstein condensate where the two components are coupled via an optical lattice. In particular, we focus on the dynamics as one drives the system through a critical point of a first order phase…

Quantum Gases · Physics 2015-05-14 Anssi Collin , Jani-Petri Martikainen , Jonas Larson

We study multiple period states of a two-component unpolarized superfluid Fermi gas in an optical lattice along the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) crossover. The existence of states whose period is a…

Quantum Gases · Physics 2016-02-02 Sukjin Yoon , Franco Dalfovo , Takashi Nakatsukasa , Gentaro Watanabe

We investigate the band structure of a Bose-Einstein condensate in a one-dimensional periodic potential by calculating stationary solutions of the Gross-Pitaevskii equation which have the form of Bloch waves. We demonstrate that loops…

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

We study defect modes of a Bose-Einstein condensate in an optical lattice with a localized defect within the framework of the one-dimensional Gross-Pitaevskii equation. It is shown that for a significant range of parameters the defect modes…

Soft Condensed Matter · Physics 2016-08-16 V. A. Brazhnyi , V. V. Konotop , V. M. Pérez-García

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

Properties of localized states on array of BEC confined to a potential, representing superposition of linear and nonlinear optical lattices are investigated. For a shallow lattice case the coupled mode system has been derived. The…

Other Condensed Matter · Physics 2009-11-11 Fatkhulla Abdullaev , Abdulaziz Abdumalikov , Ravil Galimzyanov

We report the Bose-Einstein condensate (BEC) in the Bloch bands with off-diagonal periodic potential (ODPP), which simultaneously plays the role of spin-orbit coupling (SOC) and Zeeman field. This model can be realized using two independent…

Quantum Gases · Physics 2019-11-13 Yue-Xin Huang , Wei Feng Zhuang , Xiang-Fa Zhou , Han Pu , Guang-Can Guo , Ming Gong

We study a special dynamical regime of a Bose-Einstein condensate in a ring-shaped lattice where the populations in each site remain constant during the time evolution. The states in this regime are characterized by equal occupation numbers…

Quantum Gases · Physics 2020-07-23 M. Nigro , P. Capuzzi , D. M. Jezek

We study the Bloch dynamics of a Bose-Einstein condensate of cold atoms by using the formalism of the discrete nonlinear Schroedinger equation. Depending on the static force magnitudes the system is shown to exhibit two qualitatively…

Other Condensed Matter · Physics 2007-05-23 Andrey R. Kolovsky

We investigate the existence and especially the linear stability of single and multiple-charge quantized vortex states of nonlinear Schroedinger equations in the presence of a periodic and a parabolic potential in two spatial dimensions.…

Cellular Automata and Lattice Gases · Physics 2009-11-13 K. J. H. Law , L. Qiao , P. G. Kevrekidis , I. G. Kevrekidis

We study dynamical and energetic instabilities in the transport properties of Bloch waves for atomic multi-component Bose-Einstein condensates in optical lattices in the tight-binding limit. We obtain stability criteria analytically, as a…

Other Condensed Matter · Physics 2009-11-13 J. Ruostekoski , Zachary Dutton

We investigate the stability of Bloch waves for a Bose-Einstein condensate moving through a periodic lattice created by another condensate modulated by an optical lattice. We show that the coupling of phonon-antiphonon modes of the two…

Quantum Gases · Physics 2015-02-26 Giovanni Barontini , Michele Modugno

We consider the ground state of vortices in a Bose-Einstein condensate. We show that turning on a weak optical periodic potential leads to a transition from the triangular Abrikosov vortex lattice to phases where the vortices are pinned by…

Statistical Mechanics · Physics 2007-05-23 J. W. Reijnders , R. A. Duine

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

By direct numerical simulation and variational solution of the Gross-Pitaevskii equation, we studied the stationary and dynamic characteristics of a cigar-shaped, localized, collisionally inhomogeneous Bose-Einstein condensate trapped in a…

Quantum Gases · Physics 2015-05-27 Yongshan Cheng , S. K. Adhikari

A rotating Bose-Einstein condensate is shown to exhibit a Bloch band structure without the need of periodic potential. Vortices enter the condensate by a mechanism similar to the Bragg reflection, if the frequency of a rotating drive or the…

Soft Condensed Matter · Physics 2009-11-10 Hiroki Saito , Masahito Ueda

We theoretically investigate Bloch oscillations in a one-dimensional Bose-Hubbard chain, with single-particle losses from the odd lattice sites described by the Lindblad equation. For a single particle the time evolution of the state is…

Quantum Physics · Physics 2020-09-08 Bradley Longstaff , Eva-Maria Graefe

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 numerically the outcome of the phase separation instability of a dual-species Bose-Einstein condensate in an optical lattice. When only one excitation mode is unstable a bound pair of a bright and dark soliton-like structures…

Other Condensed Matter · Physics 2009-11-06 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski