49 research outputs found
Spatial properties of entangled photon pairs generated in nonlinear layered structures
A spatial quantum model of spontaneous parametric down-conversion in
nonlinear layered structures is developed expanding the interacting vectorial
fields into monochromatic plane waves. A two-photon spectral amplitude
depending on the signal- and idler-field frequencies and propagation directions
is used to derive transverse profiles of the emitted fields as well as their
spatial correlations. Intensity spatial profiles and their spatial correlations
are mainly determined by the positions of transmission peaks formed in these
structures with photonic bands. A method for geometry optimization of the
structures with respect to efficiency of the nonlinear process is suggested.
Several structures composed of GaN/AlN layers are analyzed as typical examples.
They allow the generation of photon pairs correlated in several emission
directions. Photon-pair generation rates increasing better than the second
power of the number of layers can be reached. Also structures efficiently
generated photon pairs showing anti-bunching and anti-coalescence can be
obtained. Three reasons for splitting the correlated area in photonic-band-gap
structures are revealed: zig-zag movement of photons inside the structure,
spatial symmetry and polarization-dependent properties. Also spectral splitting
can be observed in these structures.Comment: 13 pages, 17 figure
Surface spontaneous parametric down-conversion
Surface spontaneous parametric down-conversion is predicted as a consequence
of continuity requirements for electric- and magnetic-field amplitudes at a
discontinuity of chi2 nonlinearity. A generalization of the usual two-photon
spectral amplitude is suggested to describe this effect. Examples of nonlinear
layered structures and periodically-poled nonlinear crystals show that surface
contributions to spontaneous down-conversion can be important.Comment: 4 pages, 3 figure
Emission of photon pairs at discontinuities of nonlinearity in spontaneous parametric down-conversion
In order to fulfil the continuity requirements for electric- and
magnetic-field amplitudes at discontinuities of chi2 nonlinearity additional
photon pairs have to be emitted in the area of discontinuity. Generalized
two-photon spectral amplitudes can be used to describe properties of photon
pairs generated in this process that we call surface spontaneous parametric
down-conversion. The spectral structure of such photon pairs is similar to that
derived for photon pairs generated in the volume. Surface and volume
contributions to spontaneous down-conversion can be comparable as an example of
nonlinear layered structures shows.Comment: 11 pages, 8 figure
Squeezed-light generation in a nonlinear planar waveguide with a periodic corrugation
Two-mode nonlinear interaction (second-harmonic and second-subharmonic
generation) in a planar waveguide with a small periodic corrugation at the
surface is studied. Scattering of the interacting fields on the corrugation
leads to constructive interference that enhances the nonlinear process provided
that all the interactions are phase matched. Conditions for the overall phase
matching are found. Compared with a perfectly quasi-phase-matched waveguide,
better values of squeezing as well as higher intensities are reached under
these conditions. Procedure for finding optimum values of parameters for
squeezed-light generation is described.Comment: 14 pages, 14 figure
Finite-dimensional states and entanglement generation for a nonlinear coupler
We discuss a system comprising two nonlinear (Kerr-like) oscillators coupled
mutually by a nonlinear interaction. The system is excited by an external
coherent field that is resonant to the frequency of one of the oscillators. We
show that the coupler evolution can be closed within a finite set of -photon
states, analogously as in the \textit{nonlinear quantum scissors} model.
Moreover, for this type of evolution our system can be treated as a
\textit{Bell-like states} generator. Thanks to the nonlinear nature of both:
oscillators and their internal coupling, these states can be generated even if
the system exhibits its energy dissipating nature, contrary to systems with
linear couplings.Comment: Accepted for publication in Physical Review
Multi-Parameter Entanglement in Femtosecond Parametric Down-Conversion
A theory of spontaneous parametric down-conversion, which gives rise to a
quantum state that is entangled in multiple parameters, such as
three-dimensional wavevector and polarization, allows us to understand the
unusual characteristics of fourth-order quantum interference in many
experiments, including ultrafast type-II parametric down-conversion, the
specific example illustrated in this paper. The comprehensive approach provided
here permits the engineering of quantum states suitable for quantum information
schemes and new quantum technologies.Comment: to appear in Physical Review
Conditional generation of arbitrary multimode entangled states of light with linear optics
We propose a universal scheme for the probabilistic generation of an
arbitrary multimode entangled state of light with finite expansion in Fock
basis. The suggested setup involves passive linear optics, single photon
sources, strong coherent laser beams, and photodetectors with single-photon
resolution. The efficiency of this setup may be greatly enhanced if, in
addition, a quantum memory is available.Comment: 7 pages, 5 figure
Multi-parameter Entanglement in Quantum Interferometry
The role of multi-parameter entanglement in quantum interference from
collinear type-II spontaneous parametric down-conversion is explored using a
variety of aperture shapes and sizes, in regimes of both ultrafast and
continuous-wave pumping. We have developed and experimentally verified a theory
of down-conversion which considers a quantum state that can be concurrently
entangled in frequency, wavevector, and polarization. In particular, we
demonstrate deviations from the familiar triangular interference dip, such as
asymmetry and peaking. These findings improve our capacity to control the
quantum state produced by spontaneous parametric down-conversion, and should
prove useful to those pursuing the many proposed applications of down-converted
light.Comment: submitted to Physical Review