Quantum Decay of an Optical Soliton
- URL: http://arxiv.org/abs/2302.00756v1
- Date: Wed, 1 Feb 2023 21:02:10 GMT
- Title: Quantum Decay of an Optical Soliton
- Authors: Stuart Ward, Rouzbeh Allahverdi, and Arash Mafi
- Abstract summary: We show that due to quantum mechanical effects, an optical soliton that is initially in a classical soliton coherent state will shed photons into the continuum and hence decay.
We compute the power spectrum for the continuum radiation and find a narrow band that is localized about the initial soliton momentum with a cut-off that is inversely proportional to the initial soliton width.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Optical solitons are known to be classically stable objects which are robust
to perturbations. In this work, we show that due to quantum mechanical effects,
an optical soliton that is initially in a classical soliton coherent state will
shed photons into the continuum and hence decay. The standard formulation of
the quantized soliton uses the linearized version of the quantum nonlinear
Schrodinger equation in the background of the classical soliton, and the
quantized soliton remains stable in this approximation. We show that if
higher-order interaction terms are taken into account, the soliton is no longer
stable, and its photon number decreases quadratically as a function of the
number of soliton cycles. We compute the power spectrum for the continuum
radiation and find a narrow band that is localized about the initial soliton
momentum with a cut-off that is inversely proportional to the initial soliton
width.
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