Non-Markovianity: initial correlations and nonlinear optical measurements

Details Non-Markovianity: initial correlations and nonlinear optical measurements Non-Markovianity: initial correlations and nonlinear optical measurements

2011-11-16

arxiv.org/abs/1111.3722v1

Physics

Quantum Physics

accepted for publication in Philisophical Transactions of the Royal Society A

Scientific paper

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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