97 research outputs found
Interactions and Collisions of Discrete Breathers in Two-Species Bose-Einstein Condensates in Optical Lattices
The dynamics of static and travelling breathers in two-species Bose-Einstein
condensates in a one-dimensional optical lattice is modelled within the
tight-binding approximation. Two coupled discrete nonlinear Schr\"odinger
equations describe the interaction of the condensates in two cases of
relevance: a mixture of two ytterbium isotopes and a mixture of Rb and
K. Depending on their initial separation, interaction between static
breathers of different species can lead to the formation of symbiotic
structures and transform one of the breathers from a static into a travelling
one. Collisions between travelling and static discrete breathers composed of
different species are separated in four distinct regimes ranging from totally
elastic when the interspecies interaction is highly attractive to mutual
destruction when the interaction is sufficiently large and repulsive. We
provide an explanation of the collision features in terms of the interspecies
coupling and the negative effective mass of the discrete breathers.Comment: 11 pages, 10 figure
Fundamentals and applications of spatial dissipative solitons in photonic devices : [Chapter 6]
We review the properties of optical spatial dissipative solitons (SDS). These are stable, self‐localized optical excitations sitting on a uniform, or quasi‐uniform, background in a dissipative environment like a nonlinear optical cavity. Indeed, in optics they are often termed “cavity solitons.” We discuss their dynamics and interactions in both ideal and imperfect systems, making comparison with experiments. SDS in lasers offer important advantages for applications. We review candidate schemes and the tremendous recent progress in semiconductor‐based cavity soliton lasers. We examine SDS in periodic structures, and we show how SDS can be quantitatively related to the locking of fronts. We conclude with an assessment of potential applications of SDS in photonics, arguing that best use of their particular features is made by exploiting their mobility, for example in all‐optical delay lines
Phase-dependent interaction in a 4-level atomic configuration
We study a four-level atomic scheme interacting with four lasers in a
closed-loop configuration with a (diamond) geometry. We
investigate the influence of the laser phases on the steady state. We show
that, depending on the phases and the decay characteristic, the system can
exhibit a variety of behaviors, including population inversion and complete
depletion of an atomic state. We explain the phenomena in terms of multi-photon
interference. We compare our results with the phase-dependent phenomena in the
double- scheme, as studied in [Korsunsky and Kosachiov, Phys. Rev A
{\bf 60}, 4996 (1999)]. This investigation may be useful for developing
non-linear optical devices, and for the spectroscopy and laser-cooling of
alkali-earth atoms.Comment: 4 figure
Long-range interactions in a quantum gas mediated by diffracted light
A BEC interacting with an optical field via a feedback mirror can be a
realisation of the quantum Hamiltonian Mean Field (HMF) model, a paradigmatic
model of long-range interactions in quantum systems. We demonstrate that the
self-structuring instability displayed by an initially uniform BEC can evolve
as predicted by the quantum HMF model, displaying quasiperiodic "chevron"
dynamics for strong driving. For weakly driven self-structuring, the BEC and
optical field behave as a two-state quantum system, regularly oscillating
between a spatially uniform state and a spatially periodic state. It also
predicts the width of stable optomechanical droplets and the dependence of
droplet width on optical pump intensity. The results presented suggest that
optical diffraction-mediated interactions between atoms in a BEC may be a route
to experimental realisation of quantum HMF dynamics and a useful analogue for
studying quantum systems involving long-range interactions
Multiple-time-scale analysis for pinned breathers in Bose-Hubbard chains
Localized and pinned discrete breathers in Bose-Einstein condensates in optical lattices or in arrays of optical waveguides oscillate with frequencies which are much higher than those present in the spectrum of the background. Hence, the interaction between localized breathers and their surroundings is extremely weak leading to a multiple-time-scale perturbation expansion. We identify the leading order in the asymptotic expansion of the breather amplitude which does not average to zero after one full oscillation. The reduced model predicts a lower bound of the breather drift times and explains the topological differences between breathers in dimers, trimers, and in spatially extended one-dimensional lattices even in the presence of transport from boundary heat-baths. These analytical boundaries hold true for lattices of any length, due to the highly localized nature of breathers
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