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Zeitschrift für Physik B Condensed Matter

Spin particles at stratified media: operator approach

N.K. Pleshanov

Published Dec 1, 1997• 22 citations
Publisher
DOI
10.1007/s002570050142

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The typical approach to quantum optics is to quantize the electromagnetic field over a volume of space and evolve the field in time with the Hamiltonian. To do this, one should know a priori the spatial modes of the theory. However, for nonlinear optics in structured media it is often challenging to form a basis of solutions. To circumvent this issue, we derive a theory of flux quantization in which the equations of motion evolve the field operators through space. The equal space canonical commutation relations are adjusted to make the quantum theory more amenable to solving steady state solutions. We conclude by outlining the form of a transfer matrix superoperator method for obtaining steady state solutions to photon fields in stratified nonlinear dielectrics.