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BY 4.0 license Open Access Published by De Gruyter Open Access September 18, 2019

Autocorrelation functions: a useful tool for both state and detector characterisation

  • Giovanni Chesi EMAIL logo , Alessia Allevi and Maria Bondani

Abstract

The calculation of autocorrelation functions represents a routinely used tool to characterise quantum states of light. In this paper, we evaluate the g(2) function for detected photons in the case of mesoscopic multi-mode twin-beam states in order to fully investigate their statistical properties starting from measurable quantities. Moreover, we show that the second-order autocorrelation function is also useful to estimate the spurious effects affecting the employed Silicon-photomultiplier detectors.

References

[1] R. Glauber, Phys. Rev. 130, 2529-2539 (1963).Search in Google Scholar

[2] R. Loudon, The quantum theory of light, 3rd edition, (Oxford Science Publications).Search in Google Scholar

[3] M. Avenhaus, K. Laiho, M. V. Chekhova, and Ch. Silberhorn, Phys. Rev. Lett. 104, 063602 (2010).Search in Google Scholar

[4] M. Blazek and W. Elsäßer, Phys. Rev. A 84, 063840 (2011).10.1103/PhysRevA.84.063840Search in Google Scholar

[5] N. Somaschi et al., Nature Photon. 10, 340–345 (2016).Search in Google Scholar

[6] A. Allevi and M. Bondani, Sci. Rep. 7, 16787 (2017).Search in Google Scholar

[7] A. Allevi, S. Cassina, and M. Bondani, Quantum Meas. Quantum Metrol. 4, 26-34 (2017).Search in Google Scholar

[8] M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, J. Mod. Opt. 56, 226-231 (2009).Search in Google Scholar

[9] G. Harder, T. J. Bartley, A. E. Lita, S. W. Nam, T. Gerrits, and C. Silberhorn, Phys. Rev. Lett. 116, 143601 (2016).Search in Google Scholar

[10] A. Allevi, S. Olivares, and M. Bondani, Phys. Rev. A 85, 063835 (2012).10.1103/PhysRevA.85.063835Search in Google Scholar

[11] A. V. Akindinov, A. N. Martemianov, P. A. Polozov, V. M. Golovin, and E. A. Grigoriev, Nucl. Instrum. Methods Phys. Res. A 387, 231–234 (1997).Search in Google Scholar

[12] G. Bondarenko, B. Dolgoshein, V. Golovin, A. Ilyin, R. Klanner, and E. Popova, Nucl. Physics. B (proc. Suppl.) 61B, 347-352 (1998).10.1016/S0920-5632(97)00585-9Search in Google Scholar

[13] V. Saveliev and V. Golutvin, Nucl. Instrum. Methods A 442, 223 (2000).10.1016/S0168-9002(99)01225-5Search in Google Scholar

[14] C. Piemonte, Nucl. Instrum. Methods A 568, 224 (2006).10.1016/j.nima.2006.07.018Search in Google Scholar

[15] D. Renker and E. Lorenz, J. Instrum. 4, P04004 (2009).10.1088/1748-0221/4/04/P04004Search in Google Scholar

[16] P. Buzhan, B. Dolgoshein, L. Filatov, A. Ilyin, V. Kantzerov, V. Kaplin, A. Karakash, F. Kayumov, S. Klemin, E. Popova, and S. Smirnov, Nucl. Instrum. Methods Phys. Res. A 504, 48-52 (2003).Search in Google Scholar

[17] M. Ramilli, A. Allevi, V. Chmill, M. Bondani, M. Caccia, and A. Andreoni, J. Opt. Soc. Am. B 27, 852-862 (2010).10.1364/JOSAB.27.000852Search in Google Scholar

[18] I. Afek, A. Natan, O. Ambar, and Y. Silberberg, Phys. Rev. A 79, 043830 (2009).10.1103/PhysRevA.79.043830Search in Google Scholar

[19] D. A. Kalashnikov, S. H. Tan, T. Sh. Iskhakov, M. V. Chekhova, and L. A. Krivitsky, Opt. Lett. 37, 2829-2831 (2012).Search in Google Scholar

[20] http://www.hamamatsu.com.Search in Google Scholar

[21] G. Chesi, L. Malinverno, A. Allevi, R. Santoro, A. Martemiyanov, M. Caccia, and M. Bondani, Sci. Rep. 9, 7433 (2019).Search in Google Scholar

[22] A. Gola, A. Ferri, A. Tarolli, N. Zorzi, and C. Piemonte, Phys. Med. Biol. 59, 3615–3635 (2014).Search in Google Scholar

[23] http://www.hamamatsu.com/us/en/S13360-1350CS.html.Search in Google Scholar

[24] F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816-2824 (2004).10.1364/OPEX.12.002816Search in Google Scholar

[25] G. Chesi, L. Malinverno, A. Allevi, R. Santoro, M. Caccia, and M. Bondani, Opt. Lett. 4, 1371-1374 (2019).Search in Google Scholar

[26] The mean error is defined i=1N|gexp(2)-gth(2)|/(N-P)as, where exp and th are referred to data and theory, respectively and p is the number of used fitting parameters.Search in Google Scholar

[27] D. N. Klyshko, Phys. Usp. 39, 573 (1996).Search in Google Scholar

[28] R. Short and L. Mandel, Phys. Rev. Lett. 51, 384–387 (1983).10.1103/PhysRevLett.51.384Search in Google Scholar

[29] W. Vogel and D. -G. Welsch, Quantum Optics (John Wiley & Sons, New York, NY, 1996).Search in Google Scholar

[30] A. Allevi and M. Bondani, Adv. At. Mol. Opt. Phys. 66, 49-110 (2017).Search in Google Scholar

[31] M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).10.1103/PhysRevA.76.013833Search in Google Scholar

[32] M. Lamperti, A. Allevi, M. Bondani, R. Machulka, V. Michálek, O. Haderka, and J. Peřina Jr., J. Opt. Soc. Am. B 31, 20-25 (2014).10.1364/JOSAB.31.000020Search in Google Scholar

[33] J. Laurat, T. Coudreau, N. Treps, A. Maître, and C. Fabre, Phys. Rev. Lett. 91, 213601 (2003).Search in Google Scholar

[34] J. Laurat, T. Coudreau, N. Treps, A. Maître, and C. Fabre, Phys. Rev. A 69, 033808 (2004).10.1103/PhysRevA.69.033808Search in Google Scholar

[35] A. Ourjoumtsev, R. Tualle-Brouri, and P. Grangier, Phys. Rev. Lett. 96, 213601 (2006).Search in Google Scholar

[36] T. Sh. Iskhakov, V. C. Usenko, U. L. Andersen, R. Filip, M. V. Chekhova, and G. Leuchs, Opt. Lett. 41, 2149-2152 (2016).Search in Google Scholar

Received: 2018-11-11
Accepted: 2019-03-05
Published Online: 2019-09-18
Published in Print: 2019-01-01

© 2019 Giovanni Chesi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution 4.0 Public License.

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