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UFN, 1996, Volume 166, Number 6, Pages 613–638 (Mi ufn1190)  

This article is cited in 59 scientific papers (total in 59 papers)


The nonclassical light

D. N. Klyshko

Faculty of Physics, Lomonosov Moscow State University

Abstract: Properties of the nonclassical light (NCL) have been considered with an emphasis on experimentally-observed features, which are underlain by the well-known Mandel's formula connecting the statistics of photocounts with that of light falling on the detector. A systematic operational approach is presented to study the NCL using two parallel sets of numbers measured: probabilities of photocounts {pm} and normalised factorial moments of counts {gk}. Two particular examples are examined in detail: a 'heated' squeezed vacuum and a 'heated' one-photon state. An alternative method is proposed to discover the week nonclassicality using 'generalised' moments {ak(s)}. The effect of the linear absorption (amplification) and of the beam-splitting of the NCL, and the relation between the NCL and the absolute calibration of photodetectors are considered. The conditions are elucidated whereat the beam-splitter realises a mathematical operation of superposition of two one-mode fields useful in studying the NCL.


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Physics–Uspekhi, 1996, 39:6, 573–596

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PACS: 03.65.Bz, 12.20.Ds, 07.60.Dq, 42.50.Dv
Received: May 1, 1996

Citation: D. N. Klyshko, “The nonclassical light”, UFN, 166:6 (1996), 613–638; Phys. Usp., 39:6 (1996), 573–596

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    This publication is cited in the following articles:
    1. Klyshko D., “Polarization of Light: Fourth-Order Effects and Polarization-Squeezed States”, J. Exp. Theor. Phys., 84:6 (1997), 1065–1079  crossref  adsnasa  isi  scopus
    2. Aleksandr V Belinskii, “Bell's theorem for trichotomic observables”, PHYS USP, 40:3 (1997), 305  mathnet  crossref  scopus
    3. Ch.T.sung Lee, “Application of Klyshko's criterion for nonclassical states to the micromaser pumped by ultracold atoms”, Phys. Rev. A, 55:6 (1997), 4449  crossref  isi  scopus
    4. Kuz'min E., Troshin A., “Statistical Properties of Superradiance in the Radiative Interaction of a System of Two-Level Atoms with a “Hot” Thermostat”, Opt. Spectrosc., 85:5 (1998), 770–774  adsnasa  isi
    5. Belinskii A., “A Sinusoidal Field with Phase Jumps as a Possible Classical Analogue of Light with Sub-Poissonian Statistics of Photons”, Laser Phys., 8:5 (1998), 1055–1062  isi
    6. Trifonov D., “Barnt-Girardello Coherent States for U(P,Q) and Sp(N,R) and their Macroscopic Superpositions”, J. Phys. A-Math. Gen., 31:26 (1998), 5673–5696  crossref  zmath  adsnasa  isi  scopus
    7. Haight J., Jones G., Lee C., “Effective One-Mode Representation of Photon-Counting Distributions for Multimode Radiation”, Quantum Semiclass. Opt., 10:2 (1998), 321–330  crossref  adsnasa  isi
    8. D'Ariano G. Sacchi M. Kumar P., “Tomographic Measurements of Nonclassical Radiation States”, Phys. Rev. A, 59:1 (1999), 826–830  crossref  adsnasa  isi  scopus
    9. Dmitry Strekalov, Yoon-Ho Kim, Yanhua Shih, “Experimental study of a subsystem in an entangled two-photon state”, Phys Rev A, 60:4 (1999), 2685  crossref  isi  scopus
    10. A. V. Burlakov, D. N. Klyshko, S. P. Kulik, M. V. Chekhova, “Fourth-order interference between independent biphotons”, Jetp Lett, 69:11 (1999), 831  crossref  adsnasa  isi  scopus
    11. B. J. Dalton, Z. Ficek, S. Swain, “Atoms in squeezed light fields”, Journal of Modern Optics, 46:3 (1999), 379  crossref  isi  scopus
    12. Dodonov V., Man'ko O., Man'ko V., Wunsche A., “Hilbert-Schmidt Distance and Non-Classicality of States in Quantum Optics”, J. Mod. Opt., 47:4 (2000), 633–654  crossref  zmath  adsnasa  isi  scopus
    13. Lebedev M., Misochko O., Ainbund M., “Manifestations of the Two-Quantum Photoeffect and Photon Statistics in the Photoelectron Multiplier Pulse Amplitude Distribution”, J. Exp. Theor. Phys., 93:6 (2001), 1168–1177  crossref  adsnasa  isi  scopus
    14. Penin A. Chekhova M., “Seminar Dedicated to the Memory of D.N. Klyshko - Preface”, Laser Phys., 12:6 (2002)  isi
    15. Youngchul Kim, Tai Hyun Yoon, Kisik Kim, “Effect of superposition of light through a beam splitter on nonclassicality”, Optics Communications, 206:4-6 (2002), 355  crossref  isi  scopus
    16. Th. Richter, W. Vogel, “Nonclassicality of Quantum States: A Hierarchy of Observable Conditions”, Phys Rev Letters, 89:28 (2002), 283601  crossref  adsnasa  isi  scopus
    17. Ivanova O., Chekhova M., “Four-Photon Correlations in Parametric Down-Conversion”, J. Exp. Theor. Phys., 98:2 (2004), 227–230  crossref  adsnasa  isi  scopus
    18. Kitaeva G. Penin A., “Parametric Frequency Conversion in Layered Nonlinear Media”, J. Exp. Theor. Phys., 98:2 (2004), 272–286  crossref  adsnasa  isi  scopus
    19. Ishhakov TS., Ivanova O., Chekhova M., “Multi-Photon States and their Measurement”, Quantum Informatics 2004, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 5833, ed. Ozhigov Y., SPIE-Int Soc Optical Engineering, 2004, 176–185  crossref  isi  scopus
    20. Alfred Wünsche, “About the nonclassicality of states defined by nonpositivity of the P-quasiprobability”, J Opt B Quantum Semiclass Opt, 6:2 (2004), 159  crossref  mathscinet  isi  scopus
    21. Shchukin E., Vogel W., “Nonclassical Moments and their Measurement”, Phys. Rev. A, 72:4 (2005), 043808  crossref  adsnasa  isi  elib  scopus
    22. Chekhova M., Ivanova O., Berardi V., Garuccio A., “Spectral Properties of Three-Photon Entangled States Generated via Three-Photon Parametric Down-Conversion in a Chi((3)) Medium”, Phys. Rev. A, 72:2 (2005), 023818  crossref  adsnasa  isi  elib  scopus
    23. Shchukin E., Richter T., Vogel W., “Nonclassicality Criteria in Terms of Moments”, Phys. Rev. A, 71:1 (2005), 011802  crossref  adsnasa  isi  elib  scopus
    24. Ivanova O.A., Iskhakov T.Sh., Penin A.N., Chekhova M.V., “Multiphoton Correlations in Parametric Down-Conversion and their Measurement in the Pulsed Regime”, Quantum Electron., 36:10 (2006), 951–956  mathnet  crossref  mathscinet  adsnasa  isi  elib  scopus
    25. Kalachev A.A., Fattakhova Yu.Z., “Generation of Triphotons Upon Spontaneous Parametric Down-Conversion in a Resonator”, Quantum Electron., 37:12 (2007), 1087–1090  mathnet  crossref  adsnasa  isi  elib  scopus
    26. Sanchez-Soto L.L., Yustas E.C., Bjork G., Klimov A.B., “Maximally Polarized States for Quantum Light Fields”, Phys. Rev. A, 76:4 (2007), 043820  crossref  adsnasa  isi  elib  scopus
    27. Klimov V.V., Letokhov V.S., Ducloy M., “Quantum Theory of Radiation of an Excited Atom Placed Near a Microresonator Containing a Single-Photon Wavepacket: Photon Correlation Properties”, Laser Phys., 17:7 (2007), 912–926  crossref  adsnasa  isi  elib  scopus
    28. Podoshvedov S.A., “Modified Nonclassical Coherent State: Squeezing, Antibunching, Sub-Poissonian Photon Statistics, Realization Scheme with the Chi((2))-Nonlinearity, and Generation of a Macroscopic Entangled State”, J. Exp. Theor. Phys., 104:4 (2007), 545–553  crossref  adsnasa  isi  scopus
    29. Agafonov I.N., Chekhova M.V., Iskhakov T.Sh., “High-Visibility Classical Multi-Photon Interference”, 2007 Conference on Lasers & Electro-Optics/Quantum Electronics and Laser Science Conference (Cleo/Qels 2007), Vols 1-5, IEEE, 2007, 1807–1808  isi
    30. A. V. Kozlovskii, “Generation оf squeezed (sub-Poissonian) light by а multimode laser”, Phys. Usp., 50:12 (2007), 1243–1258  mathnet  crossref  crossref  adsnasa  isi
    31. Gorbachev V.N., Kulik S.P., Trubilko A.I., “Some Properties and Applications of Biphoton States of Three-Mode Light”, J. Exp. Theor. Phys., 107:3 (2008), 384–393  crossref  adsnasa  isi  elib  scopus
    32. Agafonov I.N., Chekhova M.V., Iskhakov T.Sh., Penin A.N., “High-Visibility Multiphoton Interference of Hanbury Brown-Twiss Type for Classical Light”, Phys. Rev. A, 77:5, Part b (2008), 053801  crossref  adsnasa  isi  elib  scopus
    33. Kalachev A.A., Fattakhova U.Z., “Three-Photon Entangled States Generated by Spontaneous Parametric Down-Conversion in a Cavity - Art. No. 70240C”, International Workshop on Quantum Optics 2007, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 7024, ed. Samartsev V., SPIE-Int Soc Optical Engineering, 2008, C240  isi
    34. JETP Letters, 88:10 (2008), 660–664  mathnet  crossref  isi
    35. Agafonov I.N., Chekhova M.V., Iskhakov T.Sh., Wu L.-A., “High-Visibility Intensity Interference and Ghost Imaging with Pseudo-Thermal Light”, J. Mod. Opt., 56:2-3 (2009), 422–431  crossref  adsnasa  isi  elib  scopus
    36. Avenhaus M., Laiho K., Chekhova M.V., Silberhorn C., “Accessing Higher Order Correlations in Quantum Optical States by Time Multiplexing”, Phys. Rev. Lett., 104:6 (2010), 063602  crossref  adsnasa  isi  elib  scopus
    37. Adam Miranowicz, Monika Bartkowiak, Xiaoguang Wang, Yu-xi Liu, Franco Nori, “Testing nonclassicality in multimode fields: A unified derivation of classical inequalities”, Phys Rev A, 82:1 (2010), 013824  crossref  isi  scopus
    38. Iskhakov T., Allevi A., Kalashnikov D.A., Sala V.G., Takeuchi M., Bondani M., Chekhova M., “Intensity Correlations of Thermal Light”, Eur. Phys. J.-Spec. Top., 199:1 (2011), 127–138  crossref  isi  scopus
    39. Agafonov I.N., Chekhova M.V., Iskhakov T.S., Penin A.N., Rytikov G.O., Shcherbina O.A., “Absolute Calibration of Photodetectors: Photocurrent Multiplication Versus Photocurrent Subtraction”, Opt. Lett., 36:8 (2011), 1329–1331  crossref  adsnasa  isi  elib  scopus
    40. Chekhova M., “Polarization and Spectral Properties of Biphotons”, Progress in Optics, Vol 56, Prog. Opt., 56, ed. Wolf E., Elsevier Science BV, 2011, 187–226  crossref  isi  elib  scopus
    41. Sim N., Cheng M.F., Bessarab D., Jones C.M., Krivitsky L.A., “Measurement of Photon Statistics with Live Photoreceptor Cells”, Phys. Rev. Lett., 109:11 (2012), 113601  crossref  adsnasa  isi  elib  scopus
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    43. Allevi A., Olivares S., Bondani M., “Measuring High-Order Photon-Number Correlations in Experiments with Multimode Pulsed Quantum States”, Phys. Rev. A, 85:6 (2012), 063835  crossref  adsnasa  isi  elib  scopus
    44. Usenko C.V., “Quantum Cryptography with Direct Coding of the Bi-Photon Light”, J. Russ. Laser Res., 33:3 (2012), 283–292  crossref  isi  elib  scopus
    45. Cande M., Skipetrov S.E., “Quantum Versus Classical Effects in Two-Photon Speckle Patterns”, Phys. Rev. A, 87:1 (2013), 013846  crossref  adsnasa  isi  elib  scopus
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    58. A. M. Zheltikov, “The critique of quantum mind: measurement, consciousness, delayed choice, and lost coherence”, Phys. Usp., 61:10 (2018), 1016–1025  mathnet  crossref  crossref  adsnasa  isi  elib
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