Event-by-event simulation of the Hanbury Brown-Twiss experiment with coherent light

Communications in Computational Physics

Volumn 7, Issue 4, 2010, Pages 813-830

  Jin, F ^a   De Raedt, H ^a   Michielsen, K ^b  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

Computational techniques; Hanbury Brown Twiss effect; Light coherence; Light interference; Quantum theory

Indexed keywords

EID: 77949797497     PISSN: 18152406     EISSN: 19917120     Source Type: Journal    
DOI: 10.4208/cicp.2009.09.131     Document Type: Article

References (61)

1. D. P. Landau and K. Binder. A Guide to Monte Carlo Simulation in Statistical Physics. Cambridge University Press, Cambridge, 2000.
2. R. P. Feynman, R. B. Leighton, and M. Sands. The Feynman Lectures on Physics, Vol. 3. Addison-Wesley, Reading MA, 1965.
3. D. Home. Conceptual Foundations of Quantum Physics. Plenum Press, New York, 1997.
4. A. Tonomura. The Quantum World Unveiled by Electron Waves. World Scientific, Singapore, 1998.
5. L. E. Ballentine. Quantum Mechanics: A Modern Development. World Scientific, Singapore, 2003.
6. P. Grangier, G. Roger, and A. Aspect. Experimental evidence for a photon anticorrelation effect on a beam splitter: A new light on single-photon interferences. Europhys. Lett., 1:173, 1986.
7. J. S. Bell. Speakable and unspeakable in quantum mechanics. Cambridge University Press, Cambridge, 1993.
8. L. de la Pe ̃na, A.M. Cetto, and T.A. Brody. On Hidden-Variable Theories and Bell's Inequality. Lett. Nuovo Cim., 5:177 - 181, 1972.
9. A. Fine. On the Completeness of Quantum Theory. Synthese, 29:257 - 289, 1974.
10. A. Fine. Some Local Models for Correlation Experiments. Synthese, 50:279 - 294, 1982.
11. A. Fine. Hidden Variables, Joint Probability, and Bell Inequalities. Phys. Rev. Lett., 48:291 - 295, 1982.
12. A. Fine. Hidden Variables, Joint Probability, and Bell Inequalities. J. Math. Phys., 23:1306 - 1310, 1982.
13. W. M. de Muynck. The Bell inequalities and their irrelevance to the problem of locality in quantum mechanics. Phys. Lett. A, 114:65 - 67, 1986.
14. E. T. Jaynes. Clearing up mysteries - The original goal. In J. Skilling, editor, Maximum Entropy and Bayesian Methods, volume 36, page 1, Dordrecht, 1989. Kluwer Academic Publishers.
15. T. Brody. The Philosphy Behind Physics. Springer, Berlin, 1993.
16. A. Fine. The Shaky Game: Einstein Realismand theQuantumTheory. University of Chicago Press, Chicago, 1996.
17. A. Y. Khrennikov. Interpretations of Probability. VSP Int. Sc. Publishers, Utrecht, 1999.
18. L. Sica. An explanation for their experimental violation. Opt. Comm., 170:55 - 60, 1999.
19. W. De Baere, A. Mann, and M. Revzen. Locality and Bell's theorem. Found. Phys., 29:67 - 77, 1999.
20. K. Hess and W. Philipp. Bell's theorem and the problem of decidability between the views of Einstein and Bohr. Proc. Natl. Acad. Sci. USA, 98:14228 - 14233, 2001.
21. K. Hess and W. Philipp. Bell's theorem: Critique of Proofs with and without Inequalities. In A. Khrennikov, editor, Foundations of Probability and Physics-3, volume 750, page 150, Melville, New York, 2005. AIP Conference Proceedings.
22. L. Accardi. Some loopholes to save quantum nonlocality. In A. Khrennikov, editor, Foundations of Probability and Physics-3, volume 750, page 21, Melville, New York, 2005. AIP Conference Proceedings.
23. A. F. Kracklauer. Bell's Inequalities and EPR-B Experiments: Are They Disjoint? In A. Khrennikov, editor, Foundations of Probability and Physics-3, volume 750, page 219, Melville, New York, 2005. AIP Conference Proceedings.
24. E. Santos. Bell's theoremand the experiments: Increasing empirical support to local realism? Phil. Mod. Phys., 36:544 - 565, 2005.
25. P. Morgan. Bell inequalities for random fields. J. Phys. A, 39:7441 - 7445, 2006.
26. A. Yu. Khrennikov. A Mathematicians Viewpoint to Bell's Theorem. In G. Adenier, C. A. Fuchs, and A. Y. Khrennikov, editors, Foundations of Probability and Physics-4, volume 889, page 7, Melville, New York, 2007. AIP Conference Proceedings.
27. G. Adenier and A. Y. Khrennikov. Is the fair sampling assumption supported by EPR experiments. J. Phys. B: At. Mol. Opt. Phys., 40:131 - 141, 2007.
28. Th. M. Nieuwenhuizen. Where Bell Went Wrong. In L. Accardi, G. Adenier, C. Fuchs, G. Jaeger, A.Y. Khrennikov, J. A. Larsson, and Stig Stenholm, editors, Foundations of Probability and Physics - 5, volume 1101, page 127, Melville and New York, 2009. AIP Conference Proceedings.
29. A. Matzkin. Is Bell's theorem relevant to quantum mechanics? On locality and noncommuting observables. In L. Accardi, G. Adenier, C. Fuchs, G. Jaeger, A.Y. Khrennikov, J. A. Larsson, and Stig Stenholm, editors, Foundations of Probability and Physics - 5, volume 1101, page 339, Melville and New York, 2009. AIP Conference Proceedings.
30. H. De Raedt, K. Hess, and K. Michielsen. Boole-Bell inequalities applicable to quantum theory. http://arxiv.org/abs/0901.2546.
31. K. Hess, K.Michielsen, and H. De Raedt. Possible Experience: fromBoole to Bell. Europhys. Lett., 87:60007, 2009.
32. K. De Raedt, K. Keimpema, H. De Raedt, K. Michielsen, and S. Miyashita. A local realist model for correlations of the singlet state. Euro. Phys. J. B, 53:139 - 142, 2006.
33. H. De Raedt, K. De Raedt, K. Michielsen, K. Keimpema, and S. Miyashita. Event-based computer simulation model of Aspect-type experiments strictly satisfying Einstein's locality conditions. J. Phys. Soc. Jpn., 76:104005, 2007.
34. K. De Raedt, H. De Raedt, and K. Michielsen. A computer program to simulate Einstein- Podolsky-Rosen-Bohm experiment with photons. Comp. Phys. Comm., 176:642 - 651, 2007.
35. H. De Raedt, K. De Raedt, K. Michielsen, K. Keimpema, and S. Miyashita. Event-by-event simulation of quantum phenomena: Application to Einstein-Podolosky-Rosen-Bohm experiments. J. Comp. Theor. Nanosci., 4:957 - 991, 2007.
36. H. De Raedt, K.Michielsen, S.Miyashita, and K. Keimpema. Reply to Comment on "A local realist model for correlations of the singlet state". Euro. Phys. J. B, 58:55 - 59, 2007.
37. S. Zhao, H. De Raedt, and K. Michielsen. Event-by-event simulation model of Einstein- Podolosky-Rosen-Bohm experiments. Found. of Phys., 38:322 - 347, 2008.
38. H. De Raedt, K. De Raedt, and K.Michielsen. Event-based simulation of single-photon beam splitters and Mach-Zehnder interferometers. Europhys. Lett., 69:861 - 867, 2005.
39. K., De Raedt, H., De Raedt, and K.Michielsen. Deterministic event-based simulation of quantum interference. Comp. Phys. Comm., 171:19 - 39, 2005.
40. H. De Raedt, K. De Raedt, and K. Michielsen. New method to simulate quantum interference using deterministic processes and application to event-based simulation of quantum computation. J. Phys. Soc. Jpn. Suppl., 76:16 - 25, 2005.
41. K. Michielsen, K. De Raedt, and H. De Raedt. Simulation of Quantum Computation: A Deterministic Event-Based Approach. J. Comput. Theor. Nanosci., 2:227 - 239, 2005.
42. S. Zhao and H. De Raedt. Event-by-event Simulation of Quantum Cryptography Protocols. J. Comp. Theor. Nanosci., 5:490 - 504, 2008.
43. S. Zhao, S. Yuan, H. De Raedt, and K. Michielsen. Computer simulation of Wheeler's delayed choice experiment with photons. Europhys. Lett., 82:40004, 2008.
44. F. Jin, S. Yuan, H. De Raedt, K. Michielsen, and S. Miyashita. Particle-only model of twobeam interference and double-slit experiments with single photons. submitted to Found. Phys., 2009.
45. F. Jin, S. Zhao, S. Yuan, H. De Raedt, and K. Michielsen. Event-by-event simulation of a quantum eraser experiment. J. Comp. Theor. Nanosci., (in press), 2009. http://arxiv.org/abs/0908.1036.
46. A. Aspect, P. Grangier, and G. Roger. Experimental realization of Einstein-Podolsky-Rosen- Bohm gedankenexperiment: A new violation of Bell's inequalities. Phys. Rev. Lett., 49:91 - 94, 1982.
47. A. Aspect, J. Dalibard, and G. Roger. Experimental test of Bell's inequalities using timevarying analyzers. Phys. Rev. Lett., 49:1804 - 1807, 1982.
48. G. Weihs, T. Jennewein, C. Simon, H. Weinfurther, and A. Zeilinger. Violation of Bell's Inequality under Strict Einstein Locality Conditions. Phys. Rev. Lett., 81:5039 - 5043, 1998.
49. V. Jacques, E. Wu, F. Grosshans, F. Treussart, P. Grangier, A. Aspect, and J.-F. Roch. Experimental Realization of Wheeler's Delayed-Choice Gedanken Experiment. Science, 315:966- 968, 2007.
50. P. D. D. Schwindt, P. G. Kwait, and B.-G. Englert. Quantitative wave-particle duality and nonerasing quantum erasure. Phys. Rev. A, 60:4285 - 4290, 1999.
51. M. Nielsen and I. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, Cambridge, 2000.
52. http://demonstrations.wolfram.com/ EventByEventSimulationOfDoubleSlitExperimentsWithSinglePhoto/.
53. R. Hanbury Brown and R. Q. Twiss. A Test of a New Type of Stellar Interferometer on Sirius. Nature, 178:1046-1048, 1956.
54. R. J. Glauber. Photon correlations. Phys. Rev. Lett., 10:84 - 86, 1963.
55. R. J. Glauber. The quantum theory of optical coherence. Phys. Rev., 130:2529 - 2539, 1963.
56. L. Mandel. Quantum effects in one-photon and two-photon interference. Rev. Mod. Phys., 71:S274 - S282, 1999.
57. I. N. Agafonov, M. V. Chekhova, T. Sh. Iskhakov, and A. N. Penin. High-visibility multiphoton interference of Hanbury Brown-Twiss type for classical light. Phys. Rev. A, 77:053801, 2008.
58. A. Khrennikov and Y. Volovich. Discrete time dynamical models and their quantum-like context-dependent properties. J. Mod. Opt., 51:1113 - 1114, 2004.
59. D. Dubischar, V.M. Gundlach, O. Steinkamp, and A. Khrennikov. The interference phenomenon, memory effects in the equipment and random dynamical systems over the fields of p-adic numbers. Nouvo Cimento B, 114:373 - 382, 1999.
60. D. Dubischar, V.M. Gundlach, O. Steinkamp, and A. Khrennikov. A hidden variables model for interference phenomena based on p-adic random dynamical systems. http://arxiv.org/abs/0906.0514.
61. G. Adenier. Violation of Bell Inequalities as a Violation of Fair Sampling in Threshold Detectors. In L. Accardi, G. Adenier, C. Fuchs, G. Jaeger, A.Y. Khrennikov, J. A. Larsson, and Stig Stenholm, editors, Foundations of Probability and Physics - 5, volume 1101, pages 8 - 18, Melville and New York, 2009. AIP Conference Proceedings.