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We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, presents a set of ground states which is orbitally…

Analysis of PDEs · Mathematics 2015-05-28 Rolci Cipolatti , Juan López Gondar , Carlos Trallero-Giner

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

We discuss the coherent oscillations between two coupled quantum states of a Bose-Einstein condensate in two-dimensional space at zero temperature. In the system we consider, weak interparticle repulsive interactions occur between the…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 N. S. Voronova , Yu. E. Lozovik

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

We analyze the physics of Bose-Einstein condensates confined in 2D quasi-periodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that…

Other Condensed Matter · Physics 2016-08-16 Laurent Sanchez-Palencia , Luis Santos

We consider the Bose-Einstein condensate trapped in optical lattice, which is formed from two kinds of deep potentials. The tight-binding approximation was used. Steady state distribution of the probability amplitudes and the site…

Pattern Formation and Solitons · Physics 2007-12-12 Ekaterina A. Sorokina , Andrei I. Maimistov

In atomic Bose-Einstein condensates in optical lattices, mean-field energy can support the existence of period-doubled density waves, which are similar to Bloch waves but have the double periodicity of the underlying lattice potentials.…

Quantum Gases · Physics 2024-09-06 Chenhui Wang , Yongping Zhang

We experimentally and theoretically study the peak fraction of a Bose-Einstein condensate loaded into a cubic optical lattice as the lattice potential depth and entropy per particle are varied. This system is well-described by the…

Quantum Gases · Physics 2015-06-23 David McKay , Ushnish Ray , Stefan Natu , Philip Russ , David Ceperley , Brian DeMarco

The spin dynamics of atomic Bose-Einstein condensates confined in a one-dimensional optical lattice is studied. The condensates at each lattice site behave like spin magnets that can interact with each other through both the light-induced…

Soft Condensed Matter · Physics 2009-11-07 Weiping Zhang , Han Pu , Chris Search , Pierre Meystre

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 consider a Bose-Einstein condensate of ultracold atoms loaded into a square optical lattice and subject to a static force. For vanishing atom-atom interactions the atoms perform periodic Bloch oscillations for arbitrary direction of the…

Superconductivity · Physics 2009-11-13 M. -C. Chung , A. R. Kolovsky

The behaviour of a harmonically trapped dipolar Bose-Einstein condensate with its dipole moments rotating at angular frequencies lower than the transverse harmonic trapping frequency is explored in the co-rotating frame. We obtain…

Dynamics of exciton-polariton Bose-Einstein condensate is examined by means of the stochastic Gross-Pitaevskii equation including non-Markovian coupling to the excitonic reservoir. Attention is concentrated on properties of the condensate…

Quantum Gases · Physics 2025-05-14 N. V. Kuznetsova , D. V. Makarov , N. A. Asriyan , A. A. Elistratov

The criteria for validity of adiabaticity for nonlinear wave equations are considered within the context of atomic matter-waves tunneling from macroscopically populated optical standing-wave traps loaded from a Bose-Einstein condensate. We…

Statistical Mechanics · Physics 2009-11-07 Y. B. Band , Marek Trippenbach

A Bose-Einstein condensate is dispersively coupled to a single mode of an ultra-high finesse optical cavity. The system is governed by strong interactions between the atomic motion and the light field even at the level of single quanta.…

We study the equilibrium states of a vortex in a Bose-Einstein condensate in a one-dimensional optical lattice. We find that quantum effects can be important and that it is even possible for the vortex to be strongly squeezed, which…

Statistical Mechanics · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

The stationary bright solitons that appear in the ground state of the spin-orbit coupled Bose-Einstein condensate (SOC-BEC) exhibit nodes. We consider SOC-BEC in combined linear and nonlinear optical lattices and study their effects on the…

Atomic Physics · Physics 2021-10-14 Golam Ali Sekh , Benoy Talukdar

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 theoretically examine the rotation of an atomic Bose-Einstein condensate in an elliptical trap, both in the absence and presence of a quantized vortex. Two methods of introducing the rotating potential are considered - adiabatically…

Other Condensed Matter · Physics 2009-11-13 I. Corro , N. G. Parker , A. M. Martin