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Classical dynamics of quantum entanglement

Giulio Casati1,2, Italo Guarneri3,4, and Jose Reslen5

  • 1Consorzio Nazionale Italiano di Struttura della Materia, Consiglio Nazionale delle Ricerche, Istituto Nazionale per la Fisica della Materia, and Center for Nonlinear and Complex Systems, Università degli Studi dell’Insubria, Via Valleggio 11, I-22100 Como, Italy
  • 2Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, I-20133 Milano, Italy
  • 3Center for Nonlinear and Complex Systems, Università degli Studi dell’Insubria, Via Valleggio 11, I-22100 Como, Italy
  • 4Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, via Bassi 6, I-27100 Pavia, Italy
  • 5Department of Physics, National University of Singapore, Singapore 117543, Singapore

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Phys. Rev. E 85, 036208 – Published 19 March, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.036208

Abstract

We analyze numerically the dynamical generation of quantum entanglement in a system of two interacting particles, started in a coherent separable state, for decreasing values of ℏ. As ℏ→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 can be explained by simple classical arguments, which expose the different ways entanglement is generated in systems that are classically chaotic or regular.

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References (12)

  1. K. Furuya, M. C. Nemes, and G. Q. Pellegrino, Phys. Rev. Lett. 80, 5524 (1998).
  2. Shi-hui Zhang and Quan-lin Jie, Phys. Rev. A 77, 012312 (2008); Y. S. Weinstein and L. Viola, Europhys. Lett. 76, 746 (2006); S. Ghose and B. C. Sanders, Phys. Rev. A 70, 062315 (2004); J. N. Bandyopadhyay and A. Lakshminarayan, Phys. Rev. E 60, 016201 (2004); N. N. Chung and L. Y. Chew, ibid. 80, 016204 (2009); Xiaoguang Wang, S. Ghose, B. C. Sanders, and Bambi Hu, ibid. 70, 016217 (2004); R. M. Angelo, S. A. Vitiello, M. A. M. de Aguiar, and K. Furuya, Physica A 338, 458 (2004); S. Ghose, R. Stock, P. Jessen, R. Lal, and A. Silberfarb, Phys. Rev. A 78, 042318 (2008).
  3. M. Novaes, Ann. Phys. (N.Y.) 318, 308 (2005); M. Lombardi and A. Matzkin, Phys. Rev. E 83, 016207 (2011).
  4. J. Gong and P. Brumer, Phys. Rev. A 68, 022101 (2003).
  5. P. Jacquod, Phys. Rev. Lett. 92, 150403 (2004).
  6. M. Znidaric and T. Prosen, Phys. Rev. A 71, 032103 (2005).
  7. S. Chaudhury, A. Smith, B. E. Anderson, S. Ghose, and P. S. Jessen, Nature (London) 461, 769 (2009).
  8. 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, 1542 (1999); see, however, a critical discussion by H. Fusijaki, T. Miyadera, and A. Tanaka, ibid. 67, 066201 (2003).
  9. R. M. Angelo and K. Furuya, Phys. Rev. A 71, 042321 (2005).
  10. A. Matzkin, Phys. Rev. A 84, 022111 (2011).
  11. G. Casati and J. Ford, Phys. Rev. A 12, 1702 (1975).
  12. T. Prosen, Phys. Rev. E 83, 031124 (2011).

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Phys. Rev. E 85, 036208– Published 19 March, 2012
  • Received 16 September 2011

©2012 American Physical Society

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