QUANTUM-THEORY OF NONLINEAR PROPAGATION OF SCHRODINGER SOLITONS - SQUEEZED STATES AND SUB-POISSON STATISTICSстатья
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Аннотация:A quantum
theory
of
propagation
of
solitons in
a
nonlinear medium is developed
based
on
the
nonlinear Schrodinger equation for
the
operators
of
the
positive-
and
negative-frequency
parts
of
the
field.
A
derivation
of
this equation
is
given
in
the functional integration
representation, which
is convenient for
the
analysis
of
the
dynamics
of
quantum
field
fluctuations.
The
propagation
of
a
fundamental
soliton, initially in
a coherent state,
is analyzed.
It
is
shown
that
the statistics
of
the
soliton
photons
in
the
nonlinear medium does not change.
At
the
same time
the
fluctuations
of
one
of
the quadrature
components
of
the
field
may
be
suppressed
under certain
conditions.
Interference
between
the
soliton
and
the
coherent
radiation alters
the
photon statistics
of
the
resulting field.
The
conditions
under
which
optimal
suppression
of
the
fluctuations
of
the
number
of
photons
is
ensured
and their
sub-Poisson
statistics
is reached
are
elucidated
and analyzed.