Analytical solution to the quantum field theory of self-phase modulation with a finite response time
- 11 July 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (2) , 240-243
- https://doi.org/10.1103/physrevlett.73.240
Abstract
The quantum theory of a field in 1+1 dimensions coupled to localized oscillators is developed. The solution to the Heisenberg equation for the field is given in closed form. It is shown that the nonlinearity of the medium is inevitably accompanied by phase noise of the field. This noise explains the preferential growth of the Stokes wave for short propagation distances.Keywords
This publication has 8 references indexed in Scilit:
- Quantum propagation in a Kerr medium: lossless, dispersionless fiberJournal of the Optical Society of America B, 1993
- Classical and quantum dynamics of a pulse in a dispersionless non-linear fibreQuantum Optics: Journal of the European Optical Society Part B, 1992
- Time-dependent Chern-Simons solitons and their quantizationPhysical Review D, 1991
- The exchange algebra for Zamolodchikov and Fateev's parafermionic theoriesJournal of Physics A: General Physics, 1991
- Exact solution for quantum self-phase modulationJournal of the Optical Society of America B, 1991
- Effective-Field-Theory Model for the Fractional Quantum Hall EffectPhysical Review Letters, 1989
- Number-phase minimum-uncertainty state with reduced number uncertainty in a Kerr nonlinear interferometerPhysical Review A, 1986
- Infinite conformal symmetry in two-dimensional quantum field theoryNuclear Physics B, 1984