Complete time-dependent treatment of a three-level system
Abstract
Description
Both unitary evolution and the effects of dissipation and decoherence for a general three-level system are of widespread interest in quantum optics, molecular physics, and elsewhere. A previous paper presented a technique for solving the time-dependent operator equations involved but under certain restrictive conditions. We now extend our results to a general three-level system with arbitrary time-dependent Hamiltonians and Lindblad operators. Analytical handling of the SU(3) algebra of the eight operators involved leaves behind a set of coupled first-order differential equations for classical functions. Solution of this set gives a complete solution of the quantum problem, without having to invoke rotating-wave or other approximations. Numerical illustrations are given.
1 tar.gz file containing a Tex and four eps figure files; unzip with command gunzip RZPRA05.tar.gz
1 tar.gz file containing a Tex and four eps figure files; unzip with command gunzip RZPRA05.tar.gz