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arXiv:1701.07597

Memory effect and pseudomode amplitude in non-Markovian dynamics of a two level system

Yuta Ohyama, 康弘 都倉

Published Jan 26, 2017• 0 citations
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Abstract

We study non-Markovian dynamics of a two level atom using pseudomode method. Because of the memory effect of non-Markovian dynamics, the atom receives back information and excited energy from the reservoir at a later time, which causes more complicated behaviors than Markovian dynamics. With pseudomode method, non-Markovian dynamics of the atom can be mapped into Markovian dynamics of the atom and pseudomode. We show that by using pseudomode method and quantum jump approach for Markovian dynamics, we get a physically intuitive insight into the memory effect of non-Markovian dynamics. It suggests a simple physical meaning of the memory time of a non-Markovian reservoir.

DOI
10.48550/arxiv.1701.07597

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We study non-Markovian dynamics of a two level atom using pseudomode method. Because of the memory effect of non-Markovian dynamics, the atom receives back information and excited energy from the reservoir at a later time, which causes more complicated behaviors than Markovian dynamics. With pseudomode method, non-Markovian dynamics of the atom can be mapped into Markovian dynamics of the atom and pseudomode. We show that by using pseudomode method and quantum jump approach for Markovian dynamics, we get a physically intuitive insight into the memory effect of non-Markovian dynamics. It suggests a simple physical meaning of the memory time of a non-Markovian reservoir.
We investigate the non-Markovian dynamics of two-state systems in structured reservoirs. We establish a connection between two theoretical quantum approaches, the pseudomodes [B. M. Garraway, Phys. Rev. A 55, 2290 (1997)] and the recently developed non-Markovian quantum jump method [J. Piilo et al., Phys. Rev. Lett. 100, 180402 (2008)]. This connection provides a clear physical picture of how the structured reservoir affects the system dynamics, suggesting the role of the pseudomodes as effective description of environmental memory.
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Department of Physics and Astronomy, University of Sussex, Falmer, Brighton, BN1 9QH, United KingdomWe investigate the non-Markovian dynamics of two-state systems in structured reservoirs. Weestablish a connection between two theoretical quantum approaches, the pseudomodes [B. M. Gar-raway, Phys. Rev. A 55, 2290 (1997)] and the recently developed non-Markovian quantum jumpmethod [J. Piilo et al., Phys. Rev. Lett. 100, 180402 (2008)]. This connection provides a clearphysical picture of how the structured reservoir a ects the system dynamics, suggesting the role ofthe pseudomodes as e ective description of environmental memory.