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Temporal solitons in optical fibers are described by Nonlinear Schrodinger
equation and for average photon number as high as 109 the quantum properties
of solitons are well described by linearization approach.
In quantum field theory quantization in neighborhood of classical solution of equations of motion has well known difficulties which are related to spontaneous
broken symmetry. In this communication we consider the quantum properties of temporal solitons of NS equation. We propose new relativistic form of Bogoliubov's group transformation. Collective coordinate method permits to extract dymanical variables that play role of the symmetry group parameters ( time and position translation). It permits us to carry quantization of nonstationary solitons alongside with taking into account of conservation laws of energy and momentum precisely. We get quantum exitations under classical solitons on NS equation and calculate how quantum corrections change soliton squeezing. |
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