Entanglement dynamics in a non-Markovian environment: an exactly solvable model

Details Entanglement dynamics in a non-Markovian environment: an exactly solvable model Entanglement dynamics in a non-Markovian environment: an exactly solvable model

2012-02-08

arxiv.org/abs/1202.1614v2

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures; supplement attached; references updated + minor edits

Scientific paper

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. We see non-monotonic evolution of the uncertainties in observables. Further, we 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 energy increases above (decreases below) a threshold, we obtain sudden death (rebirth) of entanglement.

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