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2011

Classical Dynamics of Quantum Entanglement

Casati, Giulio, Guarneri, Italo, Reslen, Jose

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We numerically analyze the dynamical generation of quantum entanglement in a system of 2 interacting particles, started in a coherent separable state, for decreasing values of $\hbar$.

As $\hbar\to 0$ the entanglement entropy, computed at any finite time, converges to a finite nonzero value.
The limit law that rules the time dependence of entropy is well reproduced by purely classical computations.
Its general features may then be explained by simple classical arguments, which expose the different ways entanglement is generated in systems which are classically chaotic or regular.

Classical Dynamics of Quantum Entanglement · Around

Built on

G.Casati and J.Ford, Phys. Rev. A 12
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K. Furuya, M. C. Nemes, and G. Q. Pellegrino, Phys. Rev. Lett. 80
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Exponential growth of entanglement at a rate given by the sum of positive Lyapunov exponents was pointed out by P. A. Miller and S. Sarkar, Phys. Rev. E 60
1999
Earlier work this paper cites.
J.Gong and P. Brumer, Phys. Rev. A 68
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Earlier work this paper cites.

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A similar behavior has been observed in different model systems in refs. [ 6 ] , [ 7 ]
Cited in the paper.

Then

S. Chaudhury, A. Smith, B. E. Anderson, S. Ghose and P. S. Jessen Nature 461
2009
Later among the works it cites.
M. Novaes, Annals of Physics 318 (2005) 308; M.Lombardi and A.Matzkin, Phys. Rev. E 83
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A.Matzkin, Phys. Rev. A 84
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T.Prosen, Phys. Rev. E 83
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