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We analyze nonlinear aspects of the self-consistent wave-particle interaction using Hamiltonian dynamics in the single wave model, where the wave is modified due to the particle dynamics. This interaction plays an important role in the…

Chaotic Dynamics · Physics 2021-07-27 J. V. Gomes , M. C. de Sousa , R. L. Viana , I. L. Caldas , Y. Elskens

We show that a `weak' elliptical deformation of an atomic Bose-Einstein condensate rotating at close to the quadrupole instability frequency leads to turbulence with a Kolmogorov energy spectrum. The turbulent state is produced by energy…

Other Condensed Matter · Physics 2009-11-11 N. G. Parker , C. S. Adams

We apply quantum optimal control to shape the phase-space distribution of Bose-Einstein condensates in a one-dimensional optical lattice. By a time-dependent modulation of the lattice position, determined from optimal control theory, we…

Quantum Gases · Physics 2023-02-01 N. Dupont , F. Arrouas , L. Gabardos , N. Ombredane , J. Billy , B. Peaudecerf , D. Sugny , D. Guéry-Odelin

We investigate the dynamical instability of Bose-Einstein condensates (BECs) with higher-order interactions immersed in an optical lattice with weak driving harmonic potential. For this, we compute both analytically and numerically a…

Pattern Formation and Solitons · Physics 2015-06-19 E. Wamba , S. Sabari , K. Porsezian , A. Mohamadou , T. C. Kofané

We study the effects of dissipation on electron transport in a semiconductor superlattice with an applied bias voltage and a magnetic field that is tilted relative to the superlattice axis.In previous work, we showed that although the…

Other Condensed Matter · Physics 2008-03-13 A. G. Balanov , D. Fowler , A. Patanè , L. Eaves , T. M. Fromhold

We report on the experimental observation of dynamic localization of a Bose-Einstein condensate in a shaken optical lattice, both for sinusoidal and square-wave forcing. The formulation of this effect in terms of a quasienergy band…

We investigate numerically conditions for order and chaos in the dynamics of an interacting Bose- Einstein condensate (BEC) confined by an external trap cut off by a hard-wall box potential. The BEC is stirred by a laser to induce…

Quantum Gases · Physics 2016-04-08 Roger R. Sakhel , Asaad R. Sakhel , Humam B. Ghassib , Antun Balaz

We report the experimental observation of discrete bright matter-wave solitons with attractive interaction in an optical lattice. Using an accordion lattice with adjustable spacing, we prepare a Bose-Einstein condensate of cesium atoms…

We reveal underlying principles of nonlinear localization of a two-component Bose-Einstein condensate loaded into a one-dimensional optical lattice. Our theory shows that spin-dependent optical lattices can be used to manipulate both the…

Condensed Matter · Physics 2009-11-10 Elena A. Ostrovskaya , Yuri S. Kivshar

Motivated by recent experimental achievement in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially periodic optical lattice (OL), in the…

Other Condensed Matter · Physics 2010-12-10 P. G. Kevrekidis , D. J. Frantzeskakis , R. Carretero-Gonzalez , B. A. Malomed , G. Herring , A. R. Bishop

Quantum fluctuations of Bose-Einstein condensates trapped in disordered lattices are studied by inhomogeneous Bogoliubov theory. Weak-disorder perturbation theory is applied to compute the elastic scattering rate as well as the renormalized…

Quantum Gases · Physics 2013-03-15 Christopher Gaul , Cord A. Müller

A variety of solitary waves, such as solitons, vortex rings, solitonic vortices, and more complex entities, have recently been predicted to exist. They can move in superfluid ultracold gases along elongated traps. The theoretical…

Quantum Gases · Physics 2017-02-15 L. P. Pitaevskii

We present a detailed analysis of the dynamics of Bloch oscillations of Bose-Einstein condensates in disordered lattice potentials. Due to the disorder and the interparticle interactions these oscillations undergo a dephasing, reflected in…

Other Condensed Matter · Physics 2009-11-13 T. Schulte , S. Drenkelforth , G. Kleine Büning , W. Ertmer , J. Arlt , M. Lewenstein , L. Santos

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 consider a rapidly rotating two-component Bose-Einstein condensate with short-range s-wave interactions as well as dipolar coupling. We calculate the phase diagram of vortex lattice structures as a function of the intercomponent s-wave…

Quantum Gases · Physics 2015-06-18 N. Ghazanfari , A. Keleş , M. Ö. Oktel

We consider a system formed by an array of Bose-Einstein condensates trapped in a harmonic potential with a superimposed periodic optical potential. Starting from the boson field Hamiltonian, appropriate to describe dilute gas of bosonic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P Buonsante , R Franzosi , V Penna

Weakly coupled semiconductor superlattices under dc voltage bias are nonlinear systems with many degrees of freedom whose nonlinearity is due to sequential tunneling of electrons. They may exhibit spontaneous chaos at room temperature and…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Luis L. Bonilla , Manuel Carretero , Emanuel Mompó

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Rahil N. Valani , Günter Radons

We have used an extension of our slow light technique to provide a method for inducing small density defects in a Bose-Einstein condensate. These sub-resolution, micron-sized defects evolve into large amplitude sound waves. We present an…

Soft Condensed Matter · Physics 2009-11-07 Zachary Dutton , Michael Budde , Christopher Slowe , Lene Vestergaard Hau

In a rotating two-component Bose-Einstein condensate (BEC), the traditional triangular vortex lattice can be replaced by a rectangular vortex lattice or even a structure characterized in terms of vortex sheets, depending on the interspecies…

Other Condensed Matter · Physics 2008-01-23 S. J. Woo , S. Choi , L. O. Baksmaty , N. P. Bigelow