Second-quantized models for optical solitons in nonlinear fibers: Equal-time versus equal-space commutation relations

Details Second-quantized models for optical solitons in nonlinear fibers: Equal-time versus equal-space commutation relations Second-quantized models for optical solitons in nonlinear fibers: Equal-time versus equal-space commutation relations

Sep 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrva..62c3811m&link_type=abstract

Physical Review A (Atomic, Molecular, and Optical Physics), Volume 62, Issue 3, September 2000, id.033811

Physics

12

Optical Solitons, Nonlinear Guided Waves, Propagation, Scattering, And Losses, Solitons, Quantum Fluctuations, Quantum Noise, And Quantum Jumps, Canonical Quantization

Scientific paper

The dynamics of a quantum soliton propagating in nonlinear optical fibers is analyzed in the second-quantized picture in a fully canonical way. The quantum nonlinear Schrödinger equation with equal-time commutation relations for the field operators is solved using the formalism developed by Haus and Lai [J. Opt. Soc. Am. B 7, 386 (1990)]. The canonical approach is compared with the treatment of Haus and Lai based on phenomenological equal-space commutation relations. The two theories are shown to provide similar outcomes of a homodyne measurement. This result justifies the use of equal-space commutation relations in quantum studies of soliton propagation.

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