190 research outputs found
Radial coherent and intelligent states of paraxial wave equation
Ladder operators for the radial index of the paraxial optical modes in the
cylindrical coordinates are calculated. The operators obey the su(1,1) algebra
commutation relations. Based on this Lie algebra, we found that coherent modes
constructed as eigenstates of the destruction operator or resulting from the
action of the displacement operator on the fundamental mode are different. Some
properties of these two kinds of radial coherent modes are studied in detail.Comment: 3 pages, 3 figure
Nonlocality, No-Signalling and Bell's Theorem investigated by Weyl's Conformal Differential Geometry
The principles and methods of the Conformal Quantum Geometrodynamics (CQG)
based on the Weyl's differential geometry are presented. The theory applied to
the case of the relativistic single quantum spin 1/2 leads a novel and
unconventional derivation of Dirac's equation. The further extension of the
theory to the case of two spins 1/2 in EPR entangled state and to the related
violation of Bell's inequalities leads, by an exact albeit non relativistic
analysis, to an insightful resolution of all paradoxes implied by quantum
nonlocality.Comment: arXiv admin note: text overlap with arXiv:1203.003
Time-division multiplexing of the orbital angular momentum of light
We present an optical setup for generating a sequence of light pulses in
which the orbital angular momentum (OAM) degree of freedom is correlated with
the temporal one. The setup is based on a single -plate within a ring
optical resonator. By this approach, we demonstrate the generation of a train
of pulses carrying increasing values of OAM, or, alternatively, of a controlled
temporal sequence of pulses having prescribed OAM superposition states.
Finally, we exhibit an "OAM-to-time conversion" apparatus dividing different
input OAM states into different time-bins. The latter application provides a
simple approach to digital spiral spectroscopy of pulsed light.Comment: 3 pages and 2 figure
Generation of a spin-polarized electron beam by multipoles magnetic fields
The propagation of an electron beam in the presence of transverse magnetic
fields possessing integer topological charges is presented. The spin--magnetic
interaction introduces a nonuniform spin precession of the electrons that gains
a space-variant geometrical phase in the transverse plane proportional to the
field's topological charge, whose handedness depends on the input electron's
spin state. A combination of our proposed device with an electron orbital
angular momentum sorter can be utilized as a spin-filter of electron beams in a
mid-energy range. We examine these two different configurations of a partial
spin-filter generator numerically. The results of these analysis could prove
useful in the design of improved electron microscope.Comment: 7 pages, 7 figure
Photon spin-to-orbital angular momentum conversion via an electrically tunable -plate
Exploiting electro-optic effects in liquid crystals, we achieved real-time
control of the retardation of liquid- crystal-based -plates through an
externally applied voltage. The newly conceived electro-optic -plates can be
operated as electrically driven converters of photon spin into orbital angular
momentum, enabling a variation of the orbital angular momentum probabilities of
the output photons over a time scale of milliseconds.Comment: 4 pages, 5 figures, submitte
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