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Based on the non-autonomous quantum master equation, we investigate thedissipative and decoherence properties of the two-level atom system interactingwith the environment of thermal quantum radiation fields. For this system, by anovel algebraic dynamic method, the dynamical symmetry of the system is found,the quantum master equation is converted into a Schr\"{o}dinger-like equationand the non-Hermitian rate (quantum Liouville) operator of the master equationis expressed as a linear function of the dynamical u(2) generators.Furthermore, the integrability of the non-autonomous master equation has beenproved for the first time. Based on the time-dependent analytical solutions,the asymptotic behavior of the solution has been examined and the approach tothe equilibrium state has been proved. Finally, we have studied the decoherenceproperty of the multiple two-level atom system coupled to the thermal radiationfields, which are related to the quantum register.Comment: 10 pages, Revtex

journal of physics. a, mathematical and general/journal of physics. a, mathematical and general

Dynamical symmetry and analytical solutions of the non-autonomous quantum master equation of the dissipative two-level system: decoherence of the quantum register