Abstract

Correlation can be changed into anticorrelation by superposing thermal and laser light with the same frequency and polarization. Two-photon interference theory is employed to interpret this phenomenon. An experimental scheme is designed to verify the theoretical predictions by employing pseudothermal light to simulate thermal light. The experimental results are consistent with the theoretical results.

© 2014 Optical Society of America

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  1. P. Graingier, 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, 173–179 (1986).
    [Crossref]
  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  3. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
    [Crossref]
  4. Y. H. Shih and C. O. Alley, “New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921–2924 (1988).
    [Crossref]
  5. J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
    [Crossref]
  6. R. Kaltenbaek, B. Blauensteiner, M. Żukowski, M. Aspelmeyer, and A. Zeilinger, “Experimental interference of independent photons,” Phys. Rev. Lett. 96, 240502 (2006).
    [Crossref]
  7. P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
    [Crossref]
  8. A. J. Bennett, R. B. Patel, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Interference of dissimilar photon sources,” Nat. Phys. 5, 715–717 (2009).
    [Crossref]
  9. R. Kaltenbaek, J. Lavoie, D. N. Biggerstaff, and K. J. Resch, “Quantum-inspired interferometry with chirped laser pulses,” Nat. Phys. 4, 864–868 (2008).
    [Crossref]
  10. R. Kaltenbaek, J. Lavoie, and K. J. Resch, “Classical analogous of two-photon quantum interference,” Phys. Rev. Lett. 102, 243601 (2009).
    [Crossref]
  11. A. V. Belinsky and D. N. Klyshko, “Interference of classical and non-classical light,” Phys. Lett. A 166, 303–307 (1992).
    [Crossref]
  12. L. Mandel, “Quantum effects in one-photon and two-photon interference,” Rev. Mod. Phys. 71, S274–S282 (1999).
    [Crossref]
  13. Y. H. Shih, An Introduction to Quantum Optics: Photons and Biphoton Physics (CRC Press, 2011).
  14. J. B. Liu, Y. Zhou, F. L. Li, and Z. Xu, “The second-order interference between laser and thermal light,” Europhys. Lett. 105, 64007 (2014).
    [Crossref]
  15. R. Loudon, The Quantum Theory of Light, 3rd ed. (Oxford University, 2001).
  16. R. J. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539 (1963).
    [Crossref]
  17. R. J. Glauber, “Coherent and incoherent states of the radiation field,” Phys. Rev. 131, 2766–2788 (1963).
    [Crossref]
  18. R. Hanbury Brown and R. Q. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177, 27–29 (1956).
    [Crossref]
  19. R. Hanbury Brown and R. Q. Twiss, “A test of a new type of stellar interferometer on sirius,” Nature 178, 1046–1048 (1956).
    [Crossref]
  20. E. C. G. Sudarshan, “Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams,” Phys. Rev. Lett. 10, 277–279 (1963).
    [Crossref]
  21. J. H. Shapiro and R. W. Boyd, “The physics of ghost imaging,” Quantum Inf. Process 11, 949–993 (2012).
    [Crossref]
  22. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, 1965).
  23. J. B. Liu, Y. Zhou, W. T. Wang, R. F. Liu, K. He, F. L. Li, and Z. Xu, “Spatial second-order interference of pseudothermal light in a Hong-Ou-Mandel interferometer,” Opt. Express 21, 19209–19218 (2013).
    [Crossref]
  24. Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81, 043831 (2010).
    [Crossref]
  25. W. Martienssen and E. Spiller, “Coherence and fluctuation in light beams,” Am. J. Phys. 32, 919–926 (1964).
    [Crossref]
  26. J. B. Liu, Y. Zhou, W. T. Wang, F. L. Li, and Z. Xu, “Experimental study of the second-order coherence of partially polarized thermal light,” Opt. Commun. 317, 18–23 (2014).
    [Crossref]
  27. M. M-Tehrani and L. Mandel, “Intensity fluctuations in a two-mode ring laser,” Phys. Rev. A 17, 694–700 (1978).
    [Crossref]

2014 (2)

J. B. Liu, Y. Zhou, F. L. Li, and Z. Xu, “The second-order interference between laser and thermal light,” Europhys. Lett. 105, 64007 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, F. L. Li, and Z. Xu, “Experimental study of the second-order coherence of partially polarized thermal light,” Opt. Commun. 317, 18–23 (2014).
[Crossref]

2013 (1)

2012 (1)

J. H. Shapiro and R. W. Boyd, “The physics of ghost imaging,” Quantum Inf. Process 11, 949–993 (2012).
[Crossref]

2010 (1)

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81, 043831 (2010).
[Crossref]

2009 (2)

R. Kaltenbaek, J. Lavoie, and K. J. Resch, “Classical analogous of two-photon quantum interference,” Phys. Rev. Lett. 102, 243601 (2009).
[Crossref]

A. J. Bennett, R. B. Patel, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Interference of dissimilar photon sources,” Nat. Phys. 5, 715–717 (2009).
[Crossref]

2008 (1)

R. Kaltenbaek, J. Lavoie, D. N. Biggerstaff, and K. J. Resch, “Quantum-inspired interferometry with chirped laser pulses,” Nat. Phys. 4, 864–868 (2008).
[Crossref]

2007 (1)

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
[Crossref]

2006 (2)

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

R. Kaltenbaek, B. Blauensteiner, M. Żukowski, M. Aspelmeyer, and A. Zeilinger, “Experimental interference of independent photons,” Phys. Rev. Lett. 96, 240502 (2006).
[Crossref]

1999 (1)

L. Mandel, “Quantum effects in one-photon and two-photon interference,” Rev. Mod. Phys. 71, S274–S282 (1999).
[Crossref]

1992 (1)

A. V. Belinsky and D. N. Klyshko, “Interference of classical and non-classical light,” Phys. Lett. A 166, 303–307 (1992).
[Crossref]

1988 (1)

Y. H. Shih and C. O. Alley, “New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921–2924 (1988).
[Crossref]

1987 (1)

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref]

1986 (1)

P. Graingier, 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, 173–179 (1986).
[Crossref]

1978 (1)

M. M-Tehrani and L. Mandel, “Intensity fluctuations in a two-mode ring laser,” Phys. Rev. A 17, 694–700 (1978).
[Crossref]

1964 (1)

W. Martienssen and E. Spiller, “Coherence and fluctuation in light beams,” Am. J. Phys. 32, 919–926 (1964).
[Crossref]

1963 (3)

E. C. G. Sudarshan, “Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams,” Phys. Rev. Lett. 10, 277–279 (1963).
[Crossref]

R. J. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539 (1963).
[Crossref]

R. J. Glauber, “Coherent and incoherent states of the radiation field,” Phys. Rev. 131, 2766–2788 (1963).
[Crossref]

1956 (2)

R. Hanbury Brown and R. Q. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177, 27–29 (1956).
[Crossref]

R. Hanbury Brown and R. Q. Twiss, “A test of a new type of stellar interferometer on sirius,” Nature 178, 1046–1048 (1956).
[Crossref]

Alley, C. O.

Y. H. Shih and C. O. Alley, “New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921–2924 (1988).
[Crossref]

Aspect, A.

P. Graingier, 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, 173–179 (1986).
[Crossref]

Aspelmeyer, M.

R. Kaltenbaek, B. Blauensteiner, M. Żukowski, M. Aspelmeyer, and A. Zeilinger, “Experimental interference of independent photons,” Phys. Rev. Lett. 96, 240502 (2006).
[Crossref]

Belinsky, A. V.

A. V. Belinsky and D. N. Klyshko, “Interference of classical and non-classical light,” Phys. Lett. A 166, 303–307 (1992).
[Crossref]

Bennett, A. J.

A. J. Bennett, R. B. Patel, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Interference of dissimilar photon sources,” Nat. Phys. 5, 715–717 (2009).
[Crossref]

Beugnon, J.

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

Biggerstaff, D. N.

R. Kaltenbaek, J. Lavoie, D. N. Biggerstaff, and K. J. Resch, “Quantum-inspired interferometry with chirped laser pulses,” Nat. Phys. 4, 864–868 (2008).
[Crossref]

Blauensteiner, B.

R. Kaltenbaek, B. Blauensteiner, M. Żukowski, M. Aspelmeyer, and A. Zeilinger, “Experimental interference of independent photons,” Phys. Rev. Lett. 96, 240502 (2006).
[Crossref]

Boyd, R. W.

J. H. Shapiro and R. W. Boyd, “The physics of ghost imaging,” Quantum Inf. Process 11, 949–993 (2012).
[Crossref]

Browaeys, A.

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

Darquié, B.

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

Dingjan, J.

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

Feynman, R. P.

R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, 1965).

Glauber, R. J.

R. J. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539 (1963).
[Crossref]

R. J. Glauber, “Coherent and incoherent states of the radiation field,” Phys. Rev. 131, 2766–2788 (1963).
[Crossref]

Graingier, P.

P. Graingier, 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, 173–179 (1986).
[Crossref]

Grangier, P.

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

Hanbury Brown, R.

R. Hanbury Brown and R. Q. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177, 27–29 (1956).
[Crossref]

R. Hanbury Brown and R. Q. Twiss, “A test of a new type of stellar interferometer on sirius,” Nature 178, 1046–1048 (1956).
[Crossref]

He, K.

Hibbs, A. R.

R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, 1965).

Hong, C. K.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref]

Jones, M. P. A.

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

Kaltenbaek, R.

R. Kaltenbaek, J. Lavoie, and K. J. Resch, “Classical analogous of two-photon quantum interference,” Phys. Rev. Lett. 102, 243601 (2009).
[Crossref]

R. Kaltenbaek, J. Lavoie, D. N. Biggerstaff, and K. J. Resch, “Quantum-inspired interferometry with chirped laser pulses,” Nat. Phys. 4, 864–868 (2008).
[Crossref]

R. Kaltenbaek, B. Blauensteiner, M. Żukowski, M. Aspelmeyer, and A. Zeilinger, “Experimental interference of independent photons,” Phys. Rev. Lett. 96, 240502 (2006).
[Crossref]

Klyshko, D. N.

A. V. Belinsky and D. N. Klyshko, “Interference of classical and non-classical light,” Phys. Lett. A 166, 303–307 (1992).
[Crossref]

Lavoie, J.

R. Kaltenbaek, J. Lavoie, and K. J. Resch, “Classical analogous of two-photon quantum interference,” Phys. Rev. Lett. 102, 243601 (2009).
[Crossref]

R. Kaltenbaek, J. Lavoie, D. N. Biggerstaff, and K. J. Resch, “Quantum-inspired interferometry with chirped laser pulses,” Nat. Phys. 4, 864–868 (2008).
[Crossref]

Li, F. L.

J. B. Liu, Y. Zhou, F. L. Li, and Z. Xu, “The second-order interference between laser and thermal light,” Europhys. Lett. 105, 64007 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, F. L. Li, and Z. Xu, “Experimental study of the second-order coherence of partially polarized thermal light,” Opt. Commun. 317, 18–23 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, R. F. Liu, K. He, F. L. Li, and Z. Xu, “Spatial second-order interference of pseudothermal light in a Hong-Ou-Mandel interferometer,” Opt. Express 21, 19209–19218 (2013).
[Crossref]

Liu, J. B.

J. B. Liu, Y. Zhou, F. L. Li, and Z. Xu, “The second-order interference between laser and thermal light,” Europhys. Lett. 105, 64007 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, F. L. Li, and Z. Xu, “Experimental study of the second-order coherence of partially polarized thermal light,” Opt. Commun. 317, 18–23 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, R. F. Liu, K. He, F. L. Li, and Z. Xu, “Spatial second-order interference of pseudothermal light in a Hong-Ou-Mandel interferometer,” Opt. Express 21, 19209–19218 (2013).
[Crossref]

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81, 043831 (2010).
[Crossref]

Liu, R. F.

Loudon, R.

R. Loudon, The Quantum Theory of Light, 3rd ed. (Oxford University, 2001).

Mandel, L.

L. Mandel, “Quantum effects in one-photon and two-photon interference,” Rev. Mod. Phys. 71, S274–S282 (1999).
[Crossref]

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref]

M. M-Tehrani and L. Mandel, “Intensity fluctuations in a two-mode ring laser,” Phys. Rev. A 17, 694–700 (1978).
[Crossref]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

Manroe, C.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
[Crossref]

Martienssen, W.

W. Martienssen and E. Spiller, “Coherence and fluctuation in light beams,” Am. J. Phys. 32, 919–926 (1964).
[Crossref]

Matsukevich, D. N.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
[Crossref]

Maunz, P.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
[Crossref]

Messin, G.

J. Beugnon, M. P. A. Jones, J. Dingjan, B. Darquié, G. Messin, A. Browaeys, and P. Grangier, “Quantum interference between two single photons emitted by independently trapped atoms,” Nature 440, 779–782 (2006).
[Crossref]

Moehring, D. L.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
[Crossref]

M-Tehrani, M.

M. M-Tehrani and L. Mandel, “Intensity fluctuations in a two-mode ring laser,” Phys. Rev. A 17, 694–700 (1978).
[Crossref]

Nicoll, C. A.

A. J. Bennett, R. B. Patel, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Interference of dissimilar photon sources,” Nat. Phys. 5, 715–717 (2009).
[Crossref]

Olmschenk, S.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
[Crossref]

Ou, Z. Y.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref]

Patel, R. B.

A. J. Bennett, R. B. Patel, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Interference of dissimilar photon sources,” Nat. Phys. 5, 715–717 (2009).
[Crossref]

Resch, K. J.

R. Kaltenbaek, J. Lavoie, and K. J. Resch, “Classical analogous of two-photon quantum interference,” Phys. Rev. Lett. 102, 243601 (2009).
[Crossref]

R. Kaltenbaek, J. Lavoie, D. N. Biggerstaff, and K. J. Resch, “Quantum-inspired interferometry with chirped laser pulses,” Nat. Phys. 4, 864–868 (2008).
[Crossref]

Ritchie, D. A.

A. J. Bennett, R. B. Patel, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Interference of dissimilar photon sources,” Nat. Phys. 5, 715–717 (2009).
[Crossref]

Roger, G.

P. Graingier, 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, 173–179 (1986).
[Crossref]

Shapiro, J. H.

J. H. Shapiro and R. W. Boyd, “The physics of ghost imaging,” Quantum Inf. Process 11, 949–993 (2012).
[Crossref]

Shields, A. J.

A. J. Bennett, R. B. Patel, C. A. Nicoll, D. A. Ritchie, and A. J. Shields, “Interference of dissimilar photon sources,” Nat. Phys. 5, 715–717 (2009).
[Crossref]

Shih, Y. H.

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81, 043831 (2010).
[Crossref]

Y. H. Shih and C. O. Alley, “New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett. 61, 2921–2924 (1988).
[Crossref]

Y. H. Shih, An Introduction to Quantum Optics: Photons and Biphoton Physics (CRC Press, 2011).

Simon, J.

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81, 043831 (2010).
[Crossref]

Spiller, E.

W. Martienssen and E. Spiller, “Coherence and fluctuation in light beams,” Am. J. Phys. 32, 919–926 (1964).
[Crossref]

Sudarshan, E. C. G.

E. C. G. Sudarshan, “Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams,” Phys. Rev. Lett. 10, 277–279 (1963).
[Crossref]

Twiss, R. Q.

R. Hanbury Brown and R. Q. Twiss, “A test of a new type of stellar interferometer on sirius,” Nature 178, 1046–1048 (1956).
[Crossref]

R. Hanbury Brown and R. Q. Twiss, “Correlation between photons in two coherent beams of light,” Nature 177, 27–29 (1956).
[Crossref]

Wang, W. T.

J. B. Liu, Y. Zhou, W. T. Wang, F. L. Li, and Z. Xu, “Experimental study of the second-order coherence of partially polarized thermal light,” Opt. Commun. 317, 18–23 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, R. F. Liu, K. He, F. L. Li, and Z. Xu, “Spatial second-order interference of pseudothermal light in a Hong-Ou-Mandel interferometer,” Opt. Express 21, 19209–19218 (2013).
[Crossref]

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

Xu, Z.

J. B. Liu, Y. Zhou, F. L. Li, and Z. Xu, “The second-order interference between laser and thermal light,” Europhys. Lett. 105, 64007 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, F. L. Li, and Z. Xu, “Experimental study of the second-order coherence of partially polarized thermal light,” Opt. Commun. 317, 18–23 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, R. F. Liu, K. He, F. L. Li, and Z. Xu, “Spatial second-order interference of pseudothermal light in a Hong-Ou-Mandel interferometer,” Opt. Express 21, 19209–19218 (2013).
[Crossref]

Younge, K. C.

P. Maunz, D. L. Moehring, S. Olmschenk, K. C. Younge, D. N. Matsukevich, and C. Manroe, “Quantum interference of photon pairs from two remote trapped atomic ions,” Nat. Phys. 3, 538–541 (2007).
[Crossref]

Zeilinger, A.

R. Kaltenbaek, B. Blauensteiner, M. Żukowski, M. Aspelmeyer, and A. Zeilinger, “Experimental interference of independent photons,” Phys. Rev. Lett. 96, 240502 (2006).
[Crossref]

Zhou, Y.

J. B. Liu, Y. Zhou, F. L. Li, and Z. Xu, “The second-order interference between laser and thermal light,” Europhys. Lett. 105, 64007 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, F. L. Li, and Z. Xu, “Experimental study of the second-order coherence of partially polarized thermal light,” Opt. Commun. 317, 18–23 (2014).
[Crossref]

J. B. Liu, Y. Zhou, W. T. Wang, R. F. Liu, K. He, F. L. Li, and Z. Xu, “Spatial second-order interference of pseudothermal light in a Hong-Ou-Mandel interferometer,” Opt. Express 21, 19209–19218 (2013).
[Crossref]

Y. Zhou, J. Simon, J. B. Liu, and Y. H. Shih, “Third-order correlation function and ghost imaging of chaotic thermal light in the photon counting regime,” Phys. Rev. A 81, 043831 (2010).
[Crossref]

Zukowski, M.

R. Kaltenbaek, B. Blauensteiner, M. Żukowski, M. Aspelmeyer, and A. Zeilinger, “Experimental interference of independent photons,” Phys. Rev. Lett. 96, 240502 (2006).
[Crossref]

Am. J. Phys. (1)

W. Martienssen and E. Spiller, “Coherence and fluctuation in light beams,” Am. J. Phys. 32, 919–926 (1964).
[Crossref]

Europhys. Lett. (2)

P. Graingier, 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, 173–179 (1986).
[Crossref]

J. B. Liu, Y. Zhou, F. L. Li, and Z. Xu, “The second-order interference between laser and thermal light,” Europhys. Lett. 105, 64007 (2014).
[Crossref]

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Figures (4)

Fig. 1.
Fig. 1.

Thermal and laser light beams mixed at a beam splitter. T, thermal light; L, laser light; BS, 5050 nonpolarized beam splitter; D, single-photon detector.

Fig. 2.
Fig. 2.

Experimental setup for the second-order interference of pseudothermal and laser light beams in an HOM interferometer. Laser, single-mode continuous wave laser; BS, 50:50 nonpolarized beam splitter; M, mirror; L, lens; RG, rotating ground glass; D, single-photon detector.

Fig. 3.
Fig. 3.

Temporal second-order interference of pseudothermal and laser light beams in an HOM interferometer when these two detectors are at symmetrical positions. g12(2)(t1t2) is the normalized temporal second-order coherence function when these two single-photon detection events are at (r1,t1) and (r2,t2), respectively. t1t2 is the time difference between these two photon detection events within a two-photon coincidence count. x is the ratio between the intensities of laser and total light beams. (See text for details.)

Fig. 4.
Fig. 4.

Normalized second-order coherence function versus the ratio between the intensities of laser and total light beams. g12(2)(0) is the normalized second-order coherence function when these two photon detections are at the symmetrical positions with zero time difference. x is the ratio between the intensities of laser and total light beams. As x increases, g12(2)(0) will decrease to a minimum and then increase. (See text for details).

Equations (8)

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g(2)(r1,t1;r2,t2)=G(2)(r1,t1;r2,t2)G(1)(r1,t1)G(1)(r2,t2),
G(2)(r1,t1;r2,t2)=Pt2|ei(φta+φtb+π2)(Ata1,tb2+Ata2,tb1)|2+Pl2|ei(φla+φlb+π2)(Ala1,lb2+Ala2,lb1)|2+2PtPl|ei(φta+φlb+π2)(Ata1,lb2+Ata2,lb1)|2,
G(1)(rj,tj)=|PteiφtAtj+PleiφlAlj|2,
g12(2)(t1;t2)=Pt2[1+sinc2πΔν(t1t2)]+Pl2×1+2PtPl[1+sinc2πΔν(t1t2)]=1+(Pt2+2PtPl)sinc2πΔν(t1t2),
G(2)(r1,t1;r2,t2)=Pt2|ei(φta+φtb+π2)(Ata1,tb2+Ata2,tb1)|2+Pl2|ei(φla+φlb+π2)(Ala1,lb2+Ala2,lb1)|2+2PtPl|ei(φta+φlb)(Ata1,lb2Ata2,lb1)|2,
g12(2)(t1;t2)=Pt2[1+sinc2πΔν(t1t2)]+Pl2×1+2PtPl[1sinc2πΔν(t1t2)].
g12(2)(t1;t2)=1+(3x24x+1)sinc2πΔν(t1t2),
g12(2)(0)=3x24x+2

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