3,592 research outputs found
Generation and stability of discrete gap solitons
We analyze stability and generation of discrete gap solitons in weakly
coupled optical waveguides. We demonstrate how both stable and unstable
solitons can be observed experimentally in the engineered binary waveguide
arrays, and also reveal a connection between the gap-soliton instabilities and
limitations on the mutual beam focusing in periodic photonic structures.Comment: 3 pages, 3 figure
Intensity limits for stationary and interacting multi-soliton complexes
We obtain an accurate estimate for the peak intensities of multi-soliton
complexes for a Kerr-type nonlinearity in the (1+1) - dimension problem. Using
exact analytical solutions of the integrable set of nonlinear Schrodinger
equations, we establish a rigorous relationship between the eigenvalues of
incoherently-coupled fundamental solitons and the range of admissible
intensities. A clear geometrical interpretation of this effect is given.Comment: 3 pages, 3 figure
Unitarity of scattering and edge spin accumulation
We consider a 2D ballistic and quasi-ballistic structures with
spin-orbit-related splitting of the electron spectrum. The ballistic region is
attached to the leads with a voltage applied between them. We calculate the
edge spin density which arises in the presence of a charge current through the
structure. We solve the problem with the use of the method of scattering states
and clarify the important role of the unitarity of scattering. In the case of a
straight boundary it leads to exact cancellation of long-wavelength
oscillations of the spin density. In general, however, the smooth spin
oscillations with the spin precession length may arise, as it happens, e.g.,
for the wiggly boundary. Moreover, we show that the result crucially depends on
the form of the spin-orbit Hamiltonian.Comment: 5 pages, 3 figures. arXiv admin note: substantial text overlap with
arXiv:1007.113
Discrete surface solitons in semi-infinite binary waveguide arrays
We analyze discrete surface modes in semi-infinite binary waveguide arrays,
which can support simultaneously two types of discrete solitons. We demonstrate
that the analysis of linear surface states in such arrays provides important
information about the existence of nonlinear surface modes and their
properties. We find numerically the families of both discrete surface solitons
and nonlinear Tamm (gap) states and study their stability properties.Comment: 3 pages, 4 figures, submitted to Opt. Let
Determination of tunneling charge via current measurements
We consider a tunnel junction between two arbitrary non-linear systems in any
dimension, which can be different. We show that the tunneling charge can be
detected using three alternative methods based on current measurements. Besides
being technically easier compared to noise measurements, these methods present
valuable advantages: they do not require the knowledge of the underlying
models, and some are accessible in the experimentally convenient low-voltage
regime, where heating effects are reduced. The first method is based on the AC
conductance, while the two others are based on photo-assisted current (PAC) and
can be implemented for any time-dependence of the tunneling amplitude. These
are promising for edge states in the regime of the fractional quantum Hall
effect (FQHE): the Hamiltonian does not have to be specified and can
incorporate non-universal interactions between the edges, and it is more
convenient to use an AC gate voltage rather than an AC bias. These methods
apply for instance to weak barriers in 1-D systems,
Superconductor-Insulator-Normal (SIN) or graphene-like structures.Comment: The form has been improved, with additional useful comments,
citations have been added. 7 pages, one figur
Soliton control in modulated optically-induced photonic lattices
We discuss soliton control in reconfigurable optically-induced photonic
lattices created by three interfering beams. We reveal novel dynamical regimes
for strongly localized solitons, including binary switching and soliton
revivals through resonant wave mixing.Comment: 7 pages, 5 figures. Content modifie
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