Algebraic Structure of a Master Equation with Generalized Lindblad Form

Abstract

The quantum damped harmonic oscillator is described by the master equation with usual Lindblad form. The equation has been solved completely by us in arXiv : 0710.2724 [quant-ph]. To construct the general solution a few facts of representation theory based on the Lie algebra $su(1,1)$ were used. In this paper we treat a general model described by a master equation with generalized Lindblad form. Then we examine the algebraic structure related to some Lie algebras and construct the interesting approximate solution.

Latex ; 10 pages ; no figure

References in corpus (1)

• General Solution of the Quantum Damped Harmonic Oscillator

Cited by in corpus (2)

• An Approximate Solution of the Jaynes-Cummings Model with Dissipation
• A general formulation based on algebraic spinors for the quantum computation