Rising time of entanglement between scattering spins

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 16, 2009, Pages

  Ciccarello, Francesco ^a   Paternostro, Mauro ^b   Palma, G Massimo ^c   Zarcone, Michelangelo ^a  

^a Dipartimento di Fisica e Tecnologie Relative   (Italy)

^b QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^c UNIVERSITY OF PALERMO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 72649097286     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.165313     Document Type: Article

References (33)

1. J. L. Sorensen, J. Hald, and E. S. Polzik, Phys. Rev. Lett. 80, 3487 (1998) 10.1103/PhysRevLett.80.3487
2. J. Stenger, S. Inouye, A. P. Chikkatur, D. M. Stamper-Kurn, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 82, 4569 (1999) 10.1103/PhysRevLett.82.4569
3. I. B. Mekhov, C. Maschler, and H. Ritsch, Nat. Phys. 3, 319 (2007) 10.1038/nphys571
4. K. Eckert, O. Romero-Isart, M. Rodriguez, M. Lewenstein, E. S. Polzik, and A. Sanpera, Nat. Phys. 4, 50 (2008) 10.1038/nphys776
5. G. De Chiara, C. Brukner, R. Fazio, G. M. Palma, and V. Vedral, New J. Phys. 8, 95 (2006). 10.1088/1367-2630/8/6/095
6. A. T. Costa, Jr., S. Bose, and Y. Omar, Phys. Rev. Lett. 96, 230501 (2006) 10.1103/PhysRevLett.96.230501
7. G. L. Giorgi and F. de Pasquale, Phys. Rev. B 74, 153308 (2006) 10.1103/PhysRevB.74.153308
8. L. Lamata and J. León, Phys. Rev. A 73, 052322 (2006) 10.1103/PhysRevA.73.052322
9. K. Yuasa and H. Nakazato, J. Phys. A: Math. Theor. 40, 297 (2007) 10.1088/1751-8113/40/2/009
10. M. Habgood, J. H. Jefferson, and G. A. D. Briggs, Phys. Rev. B 77, 195308 (2008) 10.1103/PhysRevB.77.195308
11. F. Buscemi, P. Bordone, and A. Bertoni, arXiv:0810.4093 (unpublished)
12. H. Schomerus and J. P. Robinson, New J. Phys. 9, 67 (2007) 10.1088/1367-2630/9/3/067
13. D. Gunlycke, J. H. Jefferson, T. Rejec, A. Ramsak, D. G. Pettifor, and G. A. D. Briggs, J. Phys.: Condens. Matter 18, S851 (2006). 10.1088/0953-8984/18/ 21/S11
14. F. Ciccarello, G. M. Palma, M. Zarcone, Y. Omar, and V. R. Vieira, N. J. Phys. 8, 214 (2006) 10.1088/1367-2630/8/9/214
15. F. Ciccarello, G. M. Palma, M. Zarcone, Y. Omar, and V. R. Vieira, J. Phys. A: Math. Theor. 40, 7993 (2007) 10.1088/1751-8113/40/28/S09
16. F. Ciccarello, G. M. Palma, M. Zarcone, Y. Omar, and V. R. Vieira, Laser Phys. 17, 889 (2007) 10.1134/S1054660X07060175
17. F. Ciccarello, G. M. Palma, and M. Zarcone, Phys. Rev. B 75, 205415 (2007). 10.1103/PhysRevB.75.205415
18. F. Ciccarello, M. Paternostro, M. S. Kim, and G. M. Palma, Phys. Rev. Lett. 100, 150501 (2008). 10.1103/PhysRevLett.100.150501
19. D. V. Kupriyanov, O. S. Mishina, I. M. Sokolov, B. Julsgaard, and E. S. Polzik, Phys. Rev. A 71, 032348 (2005). 10.1103/PhysRevA.71.032348
20. L. van Hove, Phys. Rev. 95, 1374 (1954). 10.1103/PhysRev.95.1374
21. M. Atatüre, J. Dreiser, A. Badolato, A. Högele, K. Karrai, and A. Imamoglu, Science 312, 551 (2006) 10.1126/science.1126074
22. K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoglu, Nature (London) 445, 896 (2007) 10.1038/nature05586
23. K.-M. C. Fu, C. Santori, P. E. Barclay, I. Aharonovich, S. Prawer, N. Meyer, A. M. Holm, and R. G. Beausoleil, arXiv:0811.0328 (unpublished)
24. P. E. Barclay, K.-M. Fu, C. Santori, and R. G. Beausoleil, Opt. Express 17, 9588 (2009). 10.1364/OE.17.009588
25. P. Kolchin, C. Belthangady, S. Du, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. 101, 103601 (2008). 10.1103/PhysRevLett.101.103601
26. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81, 865 (2009). 10.1103/RevModPhys.81.865
27. W. Kim, R. K. Teshima, and F. Marsiglio, Europhys. Lett. 69, 595 (2005). 10.1209/epl/i2004-10395-x
28. K. Wódkiewicz, New J. Phys. 2, 21 (2000). 10.1088/1367-2630/2/1/ 321
29. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (John Wiley & Sons, New York, 1977).
30. We point out that in this work we make use of the heuristic time-energy uncertainty principle (Ref.) rather than the rigorous inequality by Mandelshtam and Tamm [L. I. Mandelshtam and I. E. Tamm, J. Phys. (USSR) 9, 249 (1945)]. Our goal here is indeed to merely estimate the characteristic time scale Δτ over which entanglement builds up. A more accurate quantification of such a time is under ongoing investigation.
31. We assume that | μ̄ belongs to the uncoupled-spin basis { |μ□ }. The generalization to arbitrary (pure or mixed) initial spin states is straightforward.
32. We numerically trace over the spatial variable using a mesh of the region where fe (x,τ) is non negligible and checking the stability of the outcomes vs the number of mesh points.
33. The monotonic rise of entanglement observed in Figs. clearly depends on the initial spin state (if the static spins are already entangled, a decrease may take place).