Master equations with memory for systems driven by classical noise
Autor: | C. Facer, James D. Cresser |
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Rok vydání: | 2010 |
Předmět: |
Physics
Laplace's equation Partial differential equation business.industry Lindblad equation Differential equation Mathematical analysis Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials Optics Integro-differential equation Quantum mechanics Master equation Riccati equation Fokker–Planck equation Electrical and Electronic Engineering Physical and Theoretical Chemistry business |
Zdroj: | Optics Communications. 283:773-780 |
ISSN: | 0030-4018 |
DOI: | 10.1016/j.optcom.2009.10.052 |
Popis: | A non-Markovian master equation is obtained for a two level atom driven by a phase noisy laser. The derivation is based on obtaining an equation for the density operator of the system averaged over the previous histories of the external noise. Averaging over the current value of the noise variable by means of the Zwanzig–Nakajima projection operator technique leads to a master equation with memory and a local-in-time master equation. The solutions to the resultant non-Markovian master equation, the structural properties of the equation, and the amenability of the equation to unravelling by the quantum trajectory method are all investigated. |
Databáze: | OpenAIRE |
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