74 research outputs found
Positive-Negative Birefringence in Multiferroic Layered Metasurfaces
We uncover and identify the regime for a magnetically and ferroelectrically
controllable negative refraction of light traversing multiferroic, oxide-based
metastructure consisting of alternating nanoscopic ferroelectric (SrTiO)
and ferromagnetic (YFe(FeO), YIG) layers. We perform analytical
and numerical simulations based on discretized, coupled equations for the
self-consistent Maxwell/ferroelectric/ferromagnetic dynamics and obtain a
biquadratic relation for the refractive index. Various scenarios of ordinary
and negative refraction in different frequency ranges are analyzed and
quantified by simple analytical formula that are confirmed by full-fledge
numerical simulations. Electromagnetic-waves injected at the edges of the
sample are propagated exactly numerically. We discovered that for particular
GHz frequencies, waves with different polarizations are characterized by
different signs of the refractive index giving rise to novel types of phenomena
such as a positive-negative birefringence effect, and magnetically controlled
light trapping and accelerations
Electromagnetically controlled multiferroic thermal diode
We propose an electromagnetically tunable thermal diode based on a two phase
multiferroics composite. Analytical and full numerical calculations for
prototypical heterojunction composed of Iron on Barium titanate in the
tetragonal phase demonstrate a strong heat rectification effect that can be
controlled externally by a moderate electric field. This finding is of an
importance for thermally based information processing and sensing and can also
be integrated in (spin)electronic circuits for heat management and recycling.Comment: Accepted in Phys. Rev.
Nonlinear Band Gap Transmission in Optical Waveguide Arrays
The effect of nonlinear transmission in coupled optical waveguide arrays is
theoretically investigated via numerical simulations on the corresponding model
equations. The realistic experimental setup is suggested injecting the beam in
a single boundary waveguide, linear refractive index of which () is larger
than one () of other identical waveguides in the array. Particularly, the
effect holds if , where is a linear coupling constant
between array waveguides, is a carrier wave frequency and is a
light velocity. Making numerical experiments in case of discrete nonlinear
Schr\"odinger equation it is shown that the energy transfers from the boundary
waveguide to the waveguide array above certain threshold intensity of the
injected beam. This effect is explained by means of the creation and
propagation of gap solitons in full analogy with the similar phenomenon of
nonlinear supratransmission [F. Geniet, J. Leon, PRL, {\bf 89}, 134102, (2002)]
in case of discrete sine-Gordon lattice.Comment: 4 pages, 6 figures. Phys. Rev. Lett. (in press
Bistability in sine-Gordon: the ideal switch
The sine-Gordon equation, used as the representative nonlinear wave equation,
presents a bistable behavior resulting from nonlinearity and generating
hysteresis properties. We show that the process can be understood in a
comprehensive analytical formulation and that it is a generic property of
nonlinear systems possessing a natural band gap. The approach allows to
discover that sine-Gordon can work as an it ideal switch by reaching a
transmissive regime with vanishing driving amplitude.Comment: Phys. Rev. E, (to be published, May 2005
Driving light pulses with light in two-level media
A two-level medium, described by the Maxwell-Bloch (MB) system, is engraved
by establishing a standing cavity wave with a linearly polarized
electromagnetic field that drives the medium on both ends. A light pulse,
polarized along the other direction, then scatters the medium and couples to
the cavity standing wave by means of the population inversion density
variations. We demonstrate that control of the applied amplitudes of the
grating field allows to stop the light pulse and to make it move backward
(eventually to drive it freely). A simplified limit model of the MB system with
variable boundary driving is obtained as a discrete nonlinear Schroedinger
equation with tunable external potential. It reproduces qualitatively the
dynamics of the driven light pulse
Delocalization and spreading in a nonlinear Stark ladder
We study the evolution of a wave packet in a nonlinear Schr\"odinger lattice
equation subject to a dc bias. In the absence of nonlinearity all normal modes
are spatially localized giving rise to a Stark ladder with an equidistant
eigenvalue spectrum and Bloch oscillations. Nonlinearity induces frequency
shifts and mode-mode interactions and destroys localization. With increasing
strength of nonlinearity we observe: (I) localization as a transient, with
subsequent subdiffusion (weak mode-mode interactions); (II) immediate
subdiffusion (strong mode-mode interactions); (III) single site trapping as a
transient, with subsequent explosive spreading, followed by subdiffusion. For
single mode excitations and weak nonlinearities stability intervals are
predicted and observed upon variation of the dc bias strength, which affect the
short and long time dynamics.Comment: 4 pages, 5 figure
Bistable light detectors with nonlinear waveguide arrays
Bistability induced by nonlinear Kerr effect in arrays of coupled waveguides
is studied and shown to be a means to conceive light detectors that switch
under excitation by a weak signal. The detector is obtained by coupling two
single 1D waveguide to an array of coupled waveguides with adjusted indices and
coupling. The process is understood by analytical description in the
conservative and continuous case and illustrated by numerical simulations of
the model with attenuation.Comment: Phys. Rev. Lett., v.94, (2005, to be published
Supersonic Discrete Kink-Solitons and Sinusoidal Patterns with "Magic" wavenumber in Anharmonic Lattices
The sharp pulse method is applied to Fermi-Pasta-Ulam (FPU) and Lennard-Jones
(LJ) anharmonic lattices. Numerical simulations reveal the presence of high
energy strongly localized ``discrete'' kink-solitons (DK), which move with
supersonic velocities that are proportional to kink amplitudes. For small
amplitudes, the DK's of the FPU lattice reduce to the well-known ``continuous''
kink-soliton solutions of the modified Korteweg-de Vries equation. For high
amplitudes, we obtain a consistent description of these DK's in terms of
approximate solutions of the lattice equations that are obtained by restricting
to a bounded support in space exact solutions with sinusoidal pattern
characterized by the ``magic'' wavenumber . Relative displacement
patterns, velocity versus amplitude, dispersion relation and exponential tails
found in numerical simulations are shown to agree very well with analytical
predictions, for both FPU and LJ lattices.Comment: Europhysics Letters (in print
Driven Macroscopic Quantum Tunneling of Ultracold Atoms in Engineered Optical Lattices
Coherent macroscopic tunneling of a Bose-Einstein condensate between two
parts of an optical lattice separated by an energy barrier is theoretically
investigated. We show that by a pulsewise change of the barrier height, it is
possible to switch between tunneling regime and a self-trapped state of the
condensate. This property of the system is explained by effectively reducing
the dynamics to the nonlinear problem of a particle moving in a double square
well potential. The analysis is made for both attractive and repulsive
interatomic forces, and it highlights the experimental relevance of our
findings
Gap soliton dynamics in an optical lattice as a parametrically driven pendulum
A long wavelength optical lattice is generated in a two-level medium by
low-frequency contrapropagating beams. Then a short wave length gap soliton
generated by evanescent boundary instability (supratransmission) undergoes a
dynamics shown to obey the Newton equation of the parametrically driven
pendulum, hence presenting extremely rich, possibly chaotic, dynamical
behavior. The theory is sustained by numerical simulations and provides an
efficient tool to study soliton trajectories
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