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arXiv · 1111.3722

Non-Markovianity: initial correlations and nonlinear optical measurements

Arend G. Dijkstra·Yoshitaka Tanimura
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Abstract

By extending the response function approach developed in nonlinear optics, we analytically derive an expression for the non-Markovianity [Laine, et al, Phys. Rev. A 81, 062115 (2010)] in the time evolution of a system in contact with a quantum mechanical bath, and find a close connection with the directly observable nonlinear optical response. The result indicates that memory in the bath induced fluctuations rather than in the dissipation causes non-Markovianity. Initial correlations between states of the system and the bath are shown to be essential for a correct understanding of the non-Markovianity.

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Arend G. Dijkstra, Yoshitaka Tanimura. 2011-11-16. Non-Markovianity: initial correlations and nonlinear optical measurements. https://doi.org/10.1098/rsta.2011.0203

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