Spatiotemporal engineering of matter-wave solitons in Bose–Einstein condensates
E Kengne, WM Liu, BA Malomed - Physics Reports, 2021 - Elsevier
Since the realization of Bose–Einstein condensates (BECs) trapped in optical potentials,
intensive experimental and theoretical investigations have been carried out for bright and …
intensive experimental and theoretical investigations have been carried out for bright and …
Dynamics of Bose-Einstein condensates in optical lattices
O Morsch, M Oberthaler - Reviews of modern physics, 2006 - APS
Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …
Bright Bose-Einstein gap solitons of atoms with repulsive interaction
B Eiermann, T Anker, M Albiez, M Taglieber… - Physical review …, 2004 - APS
We report on the first experimental observation of bright matter wave solitons for Rb 87
atoms with repulsive atom-atom interaction. This counterintuitive situation arises inside a …
atoms with repulsive atom-atom interaction. This counterintuitive situation arises inside a …
Dynamics of bright matter wave solitons in a Bose–Einstein condensate
F Kh. ABDULLAEV, A Gammal… - … Journal of Modern …, 2005 - World Scientific
Recent experimental and theoretical advances in the creation and description of bright
matter wave solitons are reviewed. Several aspects are taken into account, including the …
matter wave solitons are reviewed. Several aspects are taken into account, including the …
Discrete breathers in a two-dimensional Fermi–Pasta–Ulam lattice
IA Butt, JAD Wattis - Journal of Physics A: Mathematical and …, 2006 - iopscience.iop.org
Using asymptotic methods, we investigate whether discrete breathers are supported by a
two-dimensional Fermi–Pasta–Ulam lattice. A scalar (one-component) two-dimensional …
two-dimensional Fermi–Pasta–Ulam lattice. A scalar (one-component) two-dimensional …
Analytical solitary-wave solutions of the generalized nonautonomous cubic-quintic nonlinear Schrödinger equation with different external potentials
JR He, HM Li - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
A large family of analytical solitary wave solutions to the generalized nonautonomous cubic-
quintic nonlinear Schrödinger equation with time-and space-dependent distributed …
quintic nonlinear Schrödinger equation with time-and space-dependent distributed …
Spatiotemporal solitons in dispersion-managed multimode fibers
We develop the scheme of dispersion management (DM) for three-dimensional (3D) solitons
in a multimode optical fiber. It is modeled by the parabolic confining potential acting in the …
in a multimode optical fiber. It is modeled by the parabolic confining potential acting in the …
Well-posedness and averaging of NLS with time-periodic dispersion management
P Antonelli, C Saut, C Sparber - 2013 - projecteuclid.org
We consider the Cauchy problem for dispersion-managed nonlinear Schrödinger equations,
where the dispersion map is assumed to be periodic and piecewise constant in time. We …
where the dispersion map is assumed to be periodic and piecewise constant in time. We …
Stability of nonparaxial gap-soliton bullets in waveguide gratings
We investigate the formation and propagation of gap-soliton bullets in nonlinear periodic
waveguides at frequencies close to the gap for Bragg reflection beyond the paraxial …
waveguides at frequencies close to the gap for Bragg reflection beyond the paraxial …
Arresting soliton collapse in two-dimensional nonlinear Schrödinger systems via spatiotemporal modulation of the external potential
We predict stable, collapse-free solitonslike structures in two-dimensional nonlinear
Schrödinger systems in subdiffractive regimes, accomplished by a spatiotemporal …
Schrödinger systems in subdiffractive regimes, accomplished by a spatiotemporal …