TY - JOUR

T1 - Entanglement dynamics in a non-Markovian environment

T2 - An exactly solvable model

AU - Wilson, Justin H.

AU - Fregoso, Benjamin M

AU - Galitski, Victor M.

PY - 2012/5/22

Y1 - 2012/5/22

N2 - 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, we develop Lie algebraic and functional integral methods to find 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. For long bath time correlations, we see nonmonotonic evolution of the uncertainties in observables. Further, we extend this exact solution to the two-particle problem and find the dynamics of entanglement in a subspace. We find the phenomena of "sudden death" and "rebirth" of entanglement. Interestingly, all memory effects enter via the functional form of the energy and hence the time of death and rebirth is controlled by the amount of noisy energy added into each oscillator. If this energy increases above (decreases below) a threshold, we obtain sudden death (rebirth) of entanglement.

AB - 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, we develop Lie algebraic and functional integral methods to find 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. For long bath time correlations, we see nonmonotonic evolution of the uncertainties in observables. Further, we extend this exact solution to the two-particle problem and find the dynamics of entanglement in a subspace. We find the phenomena of "sudden death" and "rebirth" of entanglement. Interestingly, all memory effects enter via the functional form of the energy and hence the time of death and rebirth is controlled by the amount of noisy energy added into each oscillator. If this energy increases above (decreases below) a threshold, we obtain sudden death (rebirth) of entanglement.

UR - http://www.scopus.com/inward/record.url?scp=84861654081&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.85.174304

DO - 10.1103/PhysRevB.85.174304

M3 - Article

AN - SCOPUS:84861654081

VL - 85

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 17

M1 - 174304

ER -