1,867 research outputs found
Theory for the beam splitter in quantum optics: quantum entanglement of photons and their statistics, HOM effect
The theory of the beam splitter (BS) in quantum optics is well developed and
based on fairly simple mathematical and physical foundations. This theory has
been developed for any type of BS and is based on the constancy of the
reflection coefficients (or the transmission coefficient, where )
and the phase shift . It has recently been shown that the constancy of
these coefficients cannot always be satisfied for a waveguide BS, where and
depend in a special way on photon frequencies. Based on this, this
review systematizes the concept of BS in quantum optics into ``Conventional''
and frequency-dependent BS, and also presents the theory of such BS. It is
shown that the quantum entanglement, photon statistics at the output ports, and
the Hong-Ou-Mandel (HOM) effect for such BS can be very different. Taking into
account the fact that the waveguide BS is currently acquiring an important role
in quantum technologies due to the possibility of its miniaturization, this
review will be useful not only for theoreticians, but also for experimenters.Comment: Review article from the category: REVIEW OF MODERN PHYSIC
Signum Function Method for Generation of Correlated Dichotomic Chains
We analyze the signum-generation method for creating random dichotomic
sequences with prescribed correlation properties. The method is based on a
binary mapping of the convolution of continuous random numbers with some
function originated from the Fourier transform of a binary correlator. The goal
of our study is to reveal conditions under which one can construct binary
sequences with a given pair correlator. Our results can be used in the
construction of superlattices and waveguides with selective transport
properties.Comment: 14 pages, 7 figure
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