<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2021-12-1-65-72</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-379</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Study of nonclassicality in fifth harmonic generation nonlinear optical process</article-title><trans-title-group xml:lang="ru"><trans-title>Исследование неклассичности нелинейно-оптического процесса генерации пятой гармоники</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Priyanka</surname><given-names>.</given-names></name><name name-style="western" xml:lang="en"><surname>Priyanka</surname><given-names>.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kurukshetra 136119</p></bio><bio xml:lang="en"><p>Kurukshetra 136119</p></bio><email xlink:type="simple">Chauhan7101@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Gill</surname><given-names>Savita</given-names></name><name name-style="western" xml:lang="en"><surname>Gill</surname><given-names>Savita</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kurukshetra 136119</p></bio><bio xml:lang="en"><p>Kurukshetra 136119</p></bio><email xlink:type="simple">Savita2015@kuk.ac.in</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Department of Applied Science, University Institute of Engineering and Technology<country>Индия</country></aff><aff xml:lang="en">Department of Applied Science, University Institute of Engineering and Technology<country>India</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>28</day><month>07</month><year>2025</year></pub-date><volume>12</volume><issue>1</issue><fpage>65</fpage><lpage>72</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Priyanka .., Gill S., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Priyanka .., Gill S.</copyright-holder><copyright-holder xml:lang="en">Priyanka .., Gill S.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/379">https://nanojournal.ifmo.ru/jour/article/view/379</self-uri><abstract><p>We have examined non classical effect i.e. higher order single mode antibunching and intermodel antibunching and higher order sub-poissonian photon statistics (HOSPS) in fifth harmonic generation non linear optical process using short time interaction technique. We have found that nonclassical effects directly depend on number of photons prior to interaction with non linear medium. The higher the number of photons present prior to an interaction, the higher will be the nonclassicality in the system. It is additionally found that stoke mode doesn’t fulfill the condition of single mode antibunching and HOSPS in fifth harmonic generation process. To examine the optical nonlinearity of nanoparticles, there are significant research efforts concerning the estimation of higher order nonlinear susceptibility which can be utilized as a source for the generation of higher order harmonic generation nonlinear optical processes [<xref ref-type="bibr" rid="cit19">19</xref>].</p></abstract><trans-abstract xml:lang="ru"><p>Мы исследовали неклассический эффект, то есть одномодовое антигруппирование и межмодовое антигруппирование более высокого порядка, а также субпуассоновскую фотонную статистику более высокого порядка (HOSPS) в нелинейном оптическом процессе генерации пятой гармоники с использованием метода короткого времени взаимодействия. Мы обнаружили, что неклассические эффекты напрямую зависят от количества фотонов до взаимодействия с нелинейной средой. Чем выше количество фотонов, присутствующих до взаимодействия, тем выше будет неклассичность системы. Дополнительно установлено, что сток-мода не удовлетворяет условию одномодовой антигруппировки и ХОСПС в процессе генерации пятой гармоники. Для изучения оптической нелинейности наночастиц предпринимаются значительные исследовательские усилия, касающиеся оценки нелинейной восприимчивости более высокого порядка, которую можно использовать в качестве источника для генерации нелинейно-оптических процессов генерации гармоник более высокого порядка.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>статистика субпуассоновских фотонов высших порядков</kwd><kwd>одномодовая и межмодовая антигруппировка</kwd><kwd>оптические процессы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>higher order sub-poissonian photon statistics</kwd><kwd>single mode and intermodel antibunching</kwd><kwd>optical processes</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Meystre P., Sargent M. Elements of Quantum Optics, 2nd edn, Berlin, Springer, 1991.</mixed-citation><mixed-citation xml:lang="en">Meystre P., Sargent M. Elements of Quantum Optics, 2nd edn, Berlin, Springer, 1991.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Dodonov V.V. Nonclassical states in quantum optics: a ‘squeezed’ review of the first 75 years. Journal of Optics B: Quantum and Semiclassical Optics, 2002, 4.</mixed-citation><mixed-citation xml:lang="en">Dodonov V.V. Nonclassical states in quantum optics: a ‘squeezed’ review of the first 75 years. Journal of Optics B: Quantum and Semiclassical Optics, 2002, 4.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Hanbury Brown R., Twiss R. Q. Correlation between photons in two coherent beams of light. Nature, 1956, 177(4497), P. 27-29.</mixed-citation><mixed-citation xml:lang="en">Hanbury Brown R., Twiss R. Q. Correlation between photons in two coherent beams of light. Nature, 1956, 177(4497), P. 27-29.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Harrow Aram W., Montanaro A. Quantum computational supremacy. Nature, 2017, 549(7671), P. 203–209.</mixed-citation><mixed-citation xml:lang="en">Harrow Aram W., Montanaro A. Quantum computational supremacy. Nature, 2017, 549(7671), P. 203–209.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Neill C., Roushan P., Kechedzhi K., Boixo S., Isakov S.V., Smelyanskiy V., Megrant A., Chiaro B., Dunsworth A., Arya K. A blueprint for demonstrating quantum supremacy with superconducting qubits. Science, 2018, 360(6385), P. 195–199.</mixed-citation><mixed-citation xml:lang="en">Neill C., Roushan P., Kechedzhi K., Boixo S., Isakov S.V., Smelyanskiy V., Megrant A., Chiaro B., Dunsworth A., Arya K. A blueprint for demonstrating quantum supremacy with superconducting qubits. Science, 2018, 360(6385), P. 195–199.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Abbott B. P., Abbott R., Abbott T. D., Abernathy M. R., Acernese F., Ackley K., Adams C., Addesso P., Adhikari R. X. et al. Gw151226. Observation of gravitational waves from a 22-Solar mass binary black hole coalescence. Physical Review Letters, 2016, 116(24), P. 241103(1- 14).</mixed-citation><mixed-citation xml:lang="en">Abbott B. P., Abbott R., Abbott T. D., Abernathy M. R., Acernese F., Ackley K., Adams C., Addesso P., Adhikari R. X. et al. Gw151226. Observation of gravitational waves from a 22-Solar mass binary black hole coalescence. Physical Review Letters, 2016, 116(24), P. 241103(1- 14).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Madsen L. S., Usenko V. C., Lassen M., Filip R., Andersen U.L. Continuous variable quantum key distribution with modulated entangled states. Nature communications, 2012, 3(1), P. 1038(1-6).</mixed-citation><mixed-citation xml:lang="en">Madsen L. S., Usenko V. C., Lassen M., Filip R., Andersen U.L. Continuous variable quantum key distribution with modulated entangled states. Nature communications, 2012, 3(1), P. 1038(1-6).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Bennett C.H. et al. Entanglement-Assisted Classical Capacity of Noisy Quantum Channels. Physical Review Letters, 1993, 83(15), P. 3081– 3084.</mixed-citation><mixed-citation xml:lang="en">Bennett C.H. et al. Entanglement-Assisted Classical Capacity of Noisy Quantum Channels. Physical Review Letters, 1993, 83(15), P. 3081– 3084.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Braunstein S.L., Kimble H.J. Dense coding for continous variables. Physical Review A, 2000, 61(4), P. 042302(1-4).</mixed-citation><mixed-citation xml:lang="en">Braunstein S.L., Kimble H.J. Dense coding for continous variables. Physical Review A, 2000, 61(4), P. 042302(1-4).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Braunstein et. al. Universal Teleportation with a Twist. Physical Review Letters, 2000, 84(15), P. 3486–3489.</mixed-citation><mixed-citation xml:lang="en">Braunstein et. al. Universal Teleportation with a Twist. Physical Review Letters, 2000, 84(15), P. 3486–3489.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Bachor H.A. A guide to experiments in quantum optics (Weinheim: Wiley-VCH) chapters 8 and 10.</mixed-citation><mixed-citation xml:lang="en">Bachor H.A. A guide to experiments in quantum optics (Weinheim: Wiley-VCH) chapters 8 and 10.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Vogel W., Welsch D., Wallentowitz S. Quantum optics: an introduction 2nd edition. Berlin, Wiley-VCH, chapter 6.</mixed-citation><mixed-citation xml:lang="en">Vogel W., Welsch D., Wallentowitz S. Quantum optics: an introduction 2nd edition. Berlin, Wiley-VCH, chapter 6.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Erenso D., Vyas R, Singh S. Higher-order sub-Poissonian photon statistics in terms of factorial moments. Journal of Optical Society B, 2002, 19(6), P. 1471–1475.</mixed-citation><mixed-citation xml:lang="en">Erenso D., Vyas R, Singh S. Higher-order sub-Poissonian photon statistics in terms of factorial moments. Journal of Optical Society B, 2002, 19(6), P. 1471–1475.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Vyas R., Singh S. Photon-counting statistics of the degenerate optical parametric oscillator. Physical Review A, 1989, 40(9), 5147–5159.</mixed-citation><mixed-citation xml:lang="en">Vyas R., Singh S. Photon-counting statistics of the degenerate optical parametric oscillator. Physical Review A, 1989, 40(9), 5147–5159.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Kreibig U., Vollmer M. Optical properties of metal clusters. Springer Series in Materials Science, 1995, 25, P. 278–279.</mixed-citation><mixed-citation xml:lang="en">Kreibig U., Vollmer M. Optical properties of metal clusters. Springer Series in Materials Science, 1995, 25, P. 278–279.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Seongmin J.U., Wateker P.R., Jeong S. Nonlinear optical properties of zinc doped germane silicate glass optical fibre. Journal of Nonlinear Optical Physics and Materials, 2011, 19(4), P. 791–799.</mixed-citation><mixed-citation xml:lang="en">Seongmin J.U., Wateker P.R., Jeong S. Nonlinear optical properties of zinc doped germane silicate glass optical fibre. Journal of Nonlinear Optical Physics and Materials, 2011, 19(4), P. 791–799.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Xie R.H. Handbook of advanced electronic and photonic materials and devices. H.S. Nalwa (Ed.), Elsevier, 2000, 9, P. 267–307.</mixed-citation><mixed-citation xml:lang="en">Xie R.H. Handbook of advanced electronic and photonic materials and devices. H.S. Nalwa (Ed.), Elsevier, 2000, 9, P. 267–307.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Shuklina A.I., Smirnov A.V., Fedorov B.A., Kirillova S.A., Almjasheva O.V. Structure of nanoparticles in the ZrO2–Y2O3 system, as obtained under hydrothermal conditions. Nanosystems: Physics, Chemistry, Mathematics, 2020, 11(6), P. 729–738.</mixed-citation><mixed-citation xml:lang="en">Shuklina A.I., Smirnov A.V., Fedorov B.A., Kirillova S.A., Almjasheva O.V. Structure of nanoparticles in the ZrO2–Y2O3 system, as obtained under hydrothermal conditions. Nanosystems: Physics, Chemistry, Mathematics, 2020, 11(6), P. 729–738.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Xie R.H., Rao Q., Ensen L. Encyclopedia of nanoscience and nanotechnology. Nalwa H.S., American Scientific, Los angles, 2003.</mixed-citation><mixed-citation xml:lang="en">Xie R.H., Rao Q., Ensen L. Encyclopedia of nanoscience and nanotechnology. Nalwa H.S., American Scientific, Los angles, 2003.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Roussignol P.H., Ricard D., Flytzanis C.H.R. Quantum confinement mediated enhancement of optical kerr effect in CdSx Se1−x semiconductor microcrystallites. Applied Physics B, 1990, 51(6), P. 437–442.</mixed-citation><mixed-citation xml:lang="en">Roussignol P.H., Ricard D., Flytzanis C.H.R. Quantum confinement mediated enhancement of optical kerr effect in CdSx Se1−x semiconductor microcrystallites. Applied Physics B, 1990, 51(6), P. 437–442.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Hanamura E. Very large optical nonlinearity of semiconductor microcrystallites. Physical Review B, 1988, 37(3), P. 1273–1279.</mixed-citation><mixed-citation xml:lang="en">Hanamura E. Very large optical nonlinearity of semiconductor microcrystallites. Physical Review B, 1988, 37(3), P. 1273–1279.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Cotter D., Burt M.G., Manning R.J. Below-band-gap third-order optical nonlinearity of Nanometer-size semiconductor crystallites. Physical Review Letters, 1992, 68(8), P. 1200–1203.</mixed-citation><mixed-citation xml:lang="en">Cotter D., Burt M.G., Manning R.J. Below-band-gap third-order optical nonlinearity of Nanometer-size semiconductor crystallites. Physical Review Letters, 1992, 68(8), P. 1200–1203.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Jni J., Yao J., Zeng B., Chu W., Li G., Zhang H., Jing C., Chin S. L., Cheng Y., Xu Z. Comparative investigation of third- and fifth-harmonic generation in atomic and molecular gases driven by midinfrared ultrafast laser pulses. Physics Review A, 2011, 84(5), P. 063846(1-4).</mixed-citation><mixed-citation xml:lang="en">Jni J., Yao J., Zeng B., Chu W., Li G., Zhang H., Jing C., Chin S. L., Cheng Y., Xu Z. Comparative investigation of third- and fifth-harmonic generation in atomic and molecular gases driven by midinfrared ultrafast laser pulses. Physics Review A, 2011, 84(5), P. 063846(1-4).</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Ariunbold G.O., Polynkin P., Moloney J.V. Third and Fifth harmonic generation by tightly focused femtosecond pulses at 2.2 µm wavelength in air. Optics Express, 2012, 20(2), P. 1662–1667.</mixed-citation><mixed-citation xml:lang="en">Ariunbold G.O., Polynkin P., Moloney J.V. Third and Fifth harmonic generation by tightly focused femtosecond pulses at 2.2 µm wavelength in air. Optics Express, 2012, 20(2), P. 1662–1667.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Kartashov D., Alisauskas S., Pugzlys A., Voronin A.A., Zheltikov A.M., Baltuska A. Third- and fifth-harmonic generation by mid-infrared ultrashort pulses: beyond the fifth- order nonlinearity. Optics Letter, 2012, 37(12), P. 2268–2270.</mixed-citation><mixed-citation xml:lang="en">Kartashov D., Alisauskas S., Pugzlys A., Voronin A.A., Zheltikov A.M., Baltuska A. Third- and fifth-harmonic generation by mid-infrared ultrashort pulses: beyond the fifth- order nonlinearity. Optics Letter, 2012, 37(12), P. 2268–2270.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Nath A., Dharmadhikari J.A., Dharmadhikari A.K., Mathur D. Seventh harmonic generation from tightly focused 2 µm ultrashort pulses in air. Optics Letter, 2013, 38(14), P. 2560–2562.</mixed-citation><mixed-citation xml:lang="en">Nath A., Dharmadhikari J.A., Dharmadhikari A.K., Mathur D. Seventh harmonic generation from tightly focused 2 µm ultrashort pulses in air. Optics Letter, 2013, 38(14), P. 2560–2562.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Sperling J., Vogel W., Agarwal G.S. Quantum state engineering by click counting. Physical Review A, 2014, 89(4), P. P. 043829(1-10).</mixed-citation><mixed-citation xml:lang="en">Sperling J., Vogel W., Agarwal G.S. Quantum state engineering by click counting. Physical Review A, 2014, 89(4), P. P. 043829(1-10).</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Hong C.K., Mandel L. Higher order squeezing of a quantum field. Physical Review Letters, 1985, 54(4), P. 323–325.</mixed-citation><mixed-citation xml:lang="en">Hong C.K., Mandel L. Higher order squeezing of a quantum field. Physical Review Letters, 1985, 54(4), P. 323–325.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Hong C.K., Mandel L. Generation of higher order squeezing of quantum electromagnetic fields. Physical Review A, 1985, 32(2), P. 974–982.</mixed-citation><mixed-citation xml:lang="en">Hong C.K., Mandel L. Generation of higher order squeezing of quantum electromagnetic fields. Physical Review A, 1985, 32(2), P. 974–982.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Hillery M. Amplitude-squared squeezing of the electromagnetic field. Physical Review A, 1987, 36(8), P. 3796–3802.</mixed-citation><mixed-citation xml:lang="en">Hillery M. Amplitude-squared squeezing of the electromagnetic field. Physical Review A, 1987, 36(8), P. 3796–3802.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Priyanka, Gill S. Comparison of non classical effects: quantum phase fluctuation, antibunching and minimum total noise in various non linear optical processes. Nanosystems: Physics, Chemistry, Mathematics, 2020, 11(2), P. 161–170.</mixed-citation><mixed-citation xml:lang="en">Priyanka, Gill S. Comparison of non classical effects: quantum phase fluctuation, antibunching and minimum total noise in various non linear optical processes. Nanosystems: Physics, Chemistry, Mathematics, 2020, 11(2), P. 161–170.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Lee C.K. Higher order criteria for nonclassical effects in photon statistics. Physical Review A, 1990, 41(3), P. P. 1721–1723.</mixed-citation><mixed-citation xml:lang="en">Lee C.K. Higher order criteria for nonclassical effects in photon statistics. Physical Review A, 1990, 41(3), P. P. 1721–1723.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">An B.N. Multimode higher order antibunching and squeezing in trio coherent states. Journal of Optics B: Quantum and Semiclassical Optics, 2002, 4(3), P. 222–227.</mixed-citation><mixed-citation xml:lang="en">An B.N. Multimode higher order antibunching and squeezing in trio coherent states. Journal of Optics B: Quantum and Semiclassical Optics, 2002, 4(3), P. 222–227.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Srinivasan R., Lee C.T. Shadowed negative binomial state. Physical Letter A, 1996, 218(3-6), P. 151–156.</mixed-citation><mixed-citation xml:lang="en">Srinivasan R., Lee C.T. Shadowed negative binomial state. Physical Letter A, 1996, 218(3-6), P. 151–156.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Prakash H., Mishra D.K. Higher order sub-Poissonian photon statistics and their use in detection of Hong and Mandel squeezing and amplitude-squared squeezing. Journal of Physics B: Atomic, Molecular and Optical Physics, 2006, 39(9), P. 2291–2297.</mixed-citation><mixed-citation xml:lang="en">Prakash H., Mishra D.K. Higher order sub-Poissonian photon statistics and their use in detection of Hong and Mandel squeezing and amplitude-squared squeezing. Journal of Physics B: Atomic, Molecular and Optical Physics, 2006, 39(9), P. 2291–2297.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Pathak A. A mathematical criterion for single photon sources used in quantum cryptography. Indian Journal of Physics, 2006, 80(5), P. 495–499.</mixed-citation><mixed-citation xml:lang="en">Pathak A. A mathematical criterion for single photon sources used in quantum cryptography. Indian Journal of Physics, 2006, 80(5), P. 495–499.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
