Justin H. Wilson, Benjamin M. Fregoso, Victor M. Galitski
We study the non-Markovian effects on the dynamics of entanglement in an
exactly-solvable model that involves two independent oscillators each coupled
to its own stochastic noise source. First, using Lie algebraic and functional
integral methods, we present an exact solution to the single-oscillator problem
which includes an analytic expression for the density matrix and the complete
statistics, i.e., the probability distribution functions for observables.
Non-markovian effects do not necessarily increase monotonically the uncertainty
in the observables. We further extend this exact solution to the two-particle
problem and calculate the entanglement in a subspace. We find the phenomena of
'sudden death' and 'rebirth' of entanglement. Interestingly, the time of death
and rebirth is controlled by the amount of 'noisy' energy added into each
single oscillator. If this initial-state- dependent (yet noise-independent)
energy increases above (decreases below) a threshold, we obtain sudden death
(rebirth) of entanglement.
View original:
http://arxiv.org/abs/1202.1614
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