Quantization of solitons

H. A. Haus*, Yin-Chieh Lai

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review


A particularly simple approach to quantization is worked out in the limit of a linearized approximation. Since all switching and squeezing operations employ pulses with many photons (n>10), the linearization is always legitimate. The linearized nonlinear Schrodinger equation and self-induced transparency equations are operator equations but can be solved classically because the operators appear singly, not in products, and thus commutators are not encountered in their solution. It is possible to single out any one of the four operators involved in a measurement by means of a balanced homodyne detector with an appropriate phase and time dependence of the local oscillator pulse. The pulse shapes are shown. One important result of the analysis is that solitons cannot be put into a minimum uncertainty state of photon number and phase (in-phase and quadrature amplitudes). The reason is that the photon operator operating on a particular state cannot produce the same state, within an imaginary constant, as the phase operator operating on the state, a requirement for minimum uncertainty. As a direct consequence, it is impossible to produce the equivalent of a coherent state for the phase and photon number operators of a soliton, with consequences for squeezing of solitons. Squeezing of solitons starts with an uncertainty product that is approximately 3 times above the minimum.

Original languageEnglish
Number of pages2
StatePublished - 1 Dec 1990
Event17th International Conference on Quantum Electronics - IQEC '90 - Anaheim, CA, USA
Duration: 21 May 199025 May 1990


Conference17th International Conference on Quantum Electronics - IQEC '90
CityAnaheim, CA, USA


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