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We develop a multimode model that describes the dynamics on a rotating Bose-Einstein condensate confined by a ring-shaped optical lattice with large filling numbers. The parameters of the model are obtained as a function of the rotation…

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

We experimentally investigate the role of localization on the adiabaticity of loading a Bose-Einstein condensate into a one-dimensional optical potential comprised of a shallow primary lattice plus one or two perturbing lattice(s) of…

Atomic Physics · Physics 2009-11-13 E. E. Edwards , M. Beeler , Tao Hong , S. L. Rolston

In a recent experiment by Wu {\textit et al.} (arXiv:1511.08170), a Raman-assisted two-dimensional spin-orbit coupling has been realized for a Bose-Einstein condensate in an optical lattice potential. In light of this exciting progress, we…

Quantum Gases · Physics 2016-10-19 Jian-Song Pan , Wei Zhang , Wei Yi , Guang-Can Guo

We study the ground-state and low-lying metastable phases of repulsive binary Bose-Einstein condensates confined in twisted, spin-dependent periodic optical lattices. For balanced mixtures, weak intercomponent interactions yield a fourfold…

Quantum Gases · Physics 2026-02-16 Abid Ali , Pei Zhang , Hiroki Saito , Yong-Chang Zhang

We report on experiments studying transport properties of an atomic Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$, where $n$ is an integer, realized with the dispersion of multiphoton Raman transitions. We…

Other Condensed Matter · Physics 2009-03-16 Tobias Salger , Gunnar Ritt , Carsten Geckeler , Sebastian Kling , Martin Weitz

The self-trapping phenomenon of Bose-Einstein condensates (BECs) in optical lattices is studied extensively by numerically solving the Gross-Pitaevskii equation. Our numerical results not only reproduce the phenomenon that was observed in a…

Other Condensed Matter · Physics 2007-05-23 Bingbing Wang , Panming Fu , Jie Liu , Biao Wu

We present a method for evolving the projected Gross-Pitaevskii equation in an infinite rotating Bose-Einstein condensate, the ground state of which is a vortex lattice. We use quasi-periodic boundary conditions to investigate the behaviour…

Quantum Gases · Physics 2020-09-16 R. Doran , T. P. Billam

We consider Bose-Einstein condensation in flat-band models from a real-space perspective. Using a basis of compact localized states, we reformulate the minimization of the mean-field energy as a Euclidian geometry problem. Within Bogoliubov…

Quantum Gases · Physics 2026-03-11 Kukka-Emilia Huhtinen

The dynamics of a Bose-Einstein condensate in a double-well potential are analysed in terms of transitions between energy eigenstates. By solving the time-dependent and time-independent Gross-Pitaevskii equation in one dimension, we…

Condensed Matter · Physics 2009-11-07 E. Sakellari , M. Leadbeater , N. J. Kylstra , C. S. Adams

We present variational and numerical solutions of the generalized Gross--Pitaevskii equation for an atomic Bose--Einstein condensate with time-dependent, laser-induced dipole-dipole interactions (LIDDI). The formation of a supersolid ground…

Other Condensed Matter · Physics 2007-05-23 M. Kalinski , I. E. Mazets , G. Kurizki , B. A. Malomed , K. Vogel , W. P. Schleich

We discuss localized ground states of the periodic Gross-Pitaevskii equation in the framework of a quantum linear Schr\"odinger equation with effective potential determined in self-consistent manner. We show that depending on the…

Soft Condensed Matter · Physics 2007-05-23 Mario Salerno

We investigate the ground-state properties of spin-orbit coupled Bose-Einstein condensates in spin-dependent optical lattices. The competition between the spin-orbit coupling strength and the depth of the optical lattice leads to a rich…

Quantum Gases · Physics 2013-01-11 Wei Han , Suying Zhang , Wu-Ming Liu

We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasi-periodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external…

Quantum Gases · Physics 2020-09-07 Zhen-Xia Niu , Yonghang Tai , Junsheng Shi , Wei Zhang

The dynamics of Bose-Einstein condensates in the lowest energy band of a one-dimensional optical lattice is generally disturbed by the presence of transversally excited resonant states. We propose an effective one-dimensional theory which…

Other Condensed Matter · Physics 2007-05-23 K. -P. Marzlin , V. I. Yukalov

The dynamics of a Bose-Einstein condensate are examined numerically in the presence of a one-dimensional bichromatic optical lattice with external harmonic confinement. The condensate is excited by a focusing red laser. For this purpose,…

Quantum Gases · Physics 2016-05-25 Asaad R. Sakhel

We consider the evolution of a dilute Bose-Einstein condensate in an optical trap formed by a doughnut laser mode. By solving a one dimensional Gross-Pitaevskii equation and looking at the variance and the statistical entropy associated…

Soft Condensed Matter · Physics 2009-10-31 Pierre Villain , Patrik Ohberg , Maciej Lewenstein

Recently spin-orbit (SO) coupled superfluids in free space or harmonic traps have been extensively studied, motivated by the recent experimental realization of SO coupling for Bose-Einstein condensates (BEC). However, the rich physics of SO…

Quantum Gases · Physics 2013-02-21 Yongping Zhang , Chuanwei Zhang

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

We consider a periodic vortex lattice in a rotating Bose-Einstein condensed gas, where the centrifugal potential is exactly compensated by the external harmonic trap. By introducing a gauge transformation which makes the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Cozzini , S. Stringari , C. Tozzo

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