Canonical form of the Evolution Operator of a Time-Dependent Hamiltonian in the Three Level System

preprint2010arXivOpen access

In this paper we study the evolution operator of a time-dependent Hamiltonian in the three level system. The evolution operator is based on $SU(3)$ and its dimension is $8$ , so we obtain three complex Riccati differential equations interacting with one another (which have been obtained by Fujii and Oike) and two real phase equations. This is a canonical form of the evolution operator.

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Canonical form of the Evolution Operator of a Time-Dependent Hamiltonian in the Three Level System

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