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

Abstract

Based on the non-autonomous quantum master equation, we investigate the dissipative and decoherence properties of the two-level atom system interacting with the environment of thermal quantum radiation fields. For this system, by a novel algebraic dynamic method, the dynamical symmetry of the system is found, the quantum master equation is converted into a Schrödinger-like equation and the non-Hermitian rate (quantum Liouville) operator of the master equation is expressed as a linear function of the dynamical u(2) generators. Furthermore, the integrability of the non-autonomous master equation has been proved for the first time. Based on the time-dependent analytical solutions, the asymptotic behavior of the solution has been examined and the approach to the equilibrium state has been proved. Finally, we have studied the decoherence property of the multiple two-level atom system coupled to the thermal radiation fields, which are related to the quantum register.

10 pages, Revtex4

References in corpus (7)

• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Noiseless Quantum Codes
• Quantum Computers and Dissipation
• Maintaining coherence in Quantum Computers
• Two - Level Atom - Field Interaction: Exact Master Equations for Non-Markovian Dynamics, Decoherence and Relaxation
• Pointer states via Decoherence in a Quantum Measurement
• Perturbative expansion for master equation and it applications

Cited by in corpus (6)

• Exact solution of time-dependent Lindblad equations with closed algebras
• Entanglement production and decoherence-free subspace of two single-mode cavities embedded in a common environment
• Algebraic solution of the Lindblad equation for a collection of multilevel systems coupled to independent environments
• Production of squeezed state of single mode cavity field by the coupling of squeezed vacuum field reservoir in nonautonomous case
• A two-level atom coupled to a controllable squeezed vacuum field reservoir
• Decoherence suppression for oscillator-assisted geometric quantum gates via symmetrization