25,214 research outputs found
The attractive nonlinear delta-function potential
We solve the continuous one-dimensional Schr\"{o}dinger equation for the case
of an inverted {\em nonlinear} delta-function potential located at the origin,
obtaining the bound state in closed form as a function of the nonlinear
exponent. The bound state probability profile decays exponentially away from
the origin, with a profile width that increases monotonically with the
nonlinear exponent, becoming an almost completely extended state when this
approaches two. At an exponent value of two, the bound state suffers a
discontinuous change to a delta-like profile. Further increase of the exponent
increases again the width of the probability profile, although the bound state
is proven to be stable only for exponents below two. The transmission of plane
waves across the nonlinear delta potential increases monotonically with the
nonlinearity exponent and is insensitive to the sign of its opacity.Comment: submitted to Am. J. of Phys., sixteen pages, three figure
Dispersive spherical optical model of neutron scattering from Al27 up to 250 MeV
A spherical optical model potential (OMP) containing a dispersive term is
used to fit the available experimental database of angular distribution and
total cross section data for n + Al27 covering the energy range 0.1- 250 MeV
using relativistic kinematics and a relativistic extension of the Schroedinger
equation. A dispersive OMP with parameters that show a smooth energy dependence
and energy independent geometry are determined from fits to the entire data
set. A very good overall agreement between experimental data and predictions is
achieved up to 150 MeV. Inclusion of nonlocality effects in the absorptive
volume potential allows to achieve an excellent agreement up to 250 MeV.Comment: 13 figures (11 eps and 2 jpg), 3 table
Current and entanglement in a Bose-Hubbard lattice
We study the generation of entanglement for interacting cold atoms in an
optical lattice. The entanglement is generated by managing the interaction
between two distinct atomic species. It is found that the current of one of the
species can be used as a good indicator of entanglement generation. The
thermalization process between the species is also shown to be closely related
to the evolution of the current.Comment: 10 pages, 5 figure
Ratchet behavior in nonlinear Klein-Gordon systems with point-like inhomogeneities
We investigate the ratchet dynamics of nonlinear Klein-Gordon kinks in a
periodic, asymmetric lattice of point-like inhomogeneities. We explain the
underlying rectification mechanism within a collective coordinate framework,
which shows that such system behaves as a rocking ratchet for point particles.
Careful attention is given to the kink width dynamics and its role in the
transport. We also analyze the robustness of our kink rocking ratchet in the
presence of noise. We show that the noise activates unidirectional motion in a
parameter range where such motion is not observed in the noiseless case. This
is subsequently corroborated by the collective variable theory. An explanation
for this new phenomenom is given
Two-color discrete localized modes and resonant scattering in arrays of nonlinear quadratic optical waveguides
We analyze the properties and stability of two-color discrete localized modes
in arrays of channel waveguides where tunable quadratic nonlinearity is
introduced as a nonlinear defect by periodic poling of a single waveguide in
the array. We show that, depending on the value of the phase mismatch and the
input power, such two-color defect modes can be realized in three different
localized states. We also study resonant light scattering in the arrays with
the defect waveguide.Comment: 10 pages, 3 figures, published in PR
Controlled localization of interacting bosons in a disordered optical lattice
We show that tunneling and localization properties of interacting ultracold
atoms in an optical lattice can be controlled by adiabatically turning on a
fast oscillatory force even in the presence of disorder. Our calculations are
based on the exact solution of the time-dependent Schroedinger equation, using
the Floquet formalism. Implications of our findings for larger systems and the
possibility of controlling the phase diagram of disordered-interacting bosonic
systems are discussed.Comment: 7 pages 7 fig
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