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<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">10.17586/2220-8054-2017-8-4-447-453</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-634</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>Quantum measurement of photon distribution statistics for intra-cavity EM field monitored by dumping atom-pointer</article-title><trans-title-group xml:lang="ru"><trans-title>Quantum measurement of photon distribution statistics for intra-cavity EM field monitored by dumping atom-pointer</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>Trifanov</surname><given-names>A. I.</given-names></name><name name-style="western" xml:lang="en"><surname>Trifanov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>St. Petersburg</p></bio><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">alextrifanov@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>Trifanova</surname><given-names>E. S.</given-names></name><name name-style="western" xml:lang="en"><surname>Trifanova</surname><given-names>E. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>St. Petersburg</p></bio><bio xml:lang="en"><p>St. Petersburg</p></bio><email xlink:type="simple">etrifanova@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>ITMO University</institution><country>Russian Federation</country></aff><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ITMO University</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>4</issue><fpage>447</fpage><lpage>453</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Trifanov A.I., Trifanova E.S., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Trifanov A.I., Trifanova E.S.</copyright-holder><copyright-holder xml:lang="en">Trifanov A.I., Trifanova E.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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/634">https://nanojournal.ifmo.ru/jour/article/view/634</self-uri><abstract><p>   We describe and theoretically study a process of photon distribution statistics measurement for intra-cavity mode of EM field monitored by indirect photo-detection scheme. In particular, we investigate photon number distribution and Mandel’s parameter (normalized dispersion) of the mode using statistics of atomic state detector clicks. In our model, a two-level atom-pointer which passes through the cavity interacts with the mode and environment, distorting the measured statistical properties of the mode. To account for this, phase distortion (decoherece) and population relaxation are introduced in the model. In this paper, we use the super-operators approach to intra-cavity mode evolution conditioned by atomic state detector clicks.</p></abstract><trans-abstract xml:lang="ru"><p>   We describe and theoretically study a process of photon distribution statistics measurement for intra-cavity mode of EM field monitored by indirect photo-detection scheme. In particular, we investigate photon number distribution and Mandel’s parameter (normalized dispersion) of the mode using statistics of atomic state detector clicks. In our model, a two-level atom-pointer which passes through the cavity interacts with the mode and environment, distorting the measured statistical properties of the mode. To account for this, phase distortion (decoherece) and population relaxation are introduced in the model. In this paper, we use the super-operators approach to intra-cavity mode evolution conditioned by atomic state detector clicks.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>inderect measurements</kwd><kwd>field statistics</kwd><kwd>QED interactions</kwd></kwd-group><kwd-group xml:lang="en"><kwd>inderect measurements</kwd><kwd>field statistics</kwd><kwd>QED interactions</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by grant MK-5161.2016.1 of the President of the Russian Federation, grant 16-11-10330 of Russian Science Foundation</funding-statement><funding-statement xml:lang="en">This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by grant MK-5161.2016.1 of the President of the Russian Federation, grant 16-11-10330 of Russian Science Foundation</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Kelley P.L., W.H. Kleiner Theory of electromagnetic field measurement and photo-electron counting. Physical Review, 1964, 136 (2A), P. 316–334.</mixed-citation><mixed-citation xml:lang="en">Kelley P.L., W.H. Kleiner Theory of electromagnetic field measurement and photo-electron counting. Physical Review, 1964, 136 (2A), P. 316–334.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Braginsky B., Khalili F.Ya. Quantum Measurement, Cambridge University Press, Cambridge, 1992.</mixed-citation><mixed-citation xml:lang="en">Braginsky B., Khalili F.Ya. Quantum Measurement, Cambridge University Press, Cambridge, 1992.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Miroshnichenko G.P., Trifanova E.S., Trifanov A.I. An indirect measurement protocol of intracavity mode quadratures dispersion in dynamical Casimir effect. Eur. Phys. J. D, 2015, 69, P. 137.</mixed-citation><mixed-citation xml:lang="en">Miroshnichenko G.P., Trifanova E.S., Trifanov A.I. An indirect measurement protocol of intracavity mode quadratures dispersion in dynamical Casimir effect. Eur. Phys. J. D, 2015, 69, P. 137.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Smithey D.T., et al, Measurement of the Wigner Distribution and the Density Matrix of a Light Mode Using Optical Homodyne Tomography: Application to Squeezed States and the Vacuum. Phys. Rev Lett., 1993, 70 (8), P. 1244–1247.</mixed-citation><mixed-citation xml:lang="en">Smithey D.T., et al, Measurement of the Wigner Distribution and the Density Matrix of a Light Mode Using Optical Homodyne Tomography: Application to Squeezed States and the Vacuum. Phys. Rev Lett., 1993, 70 (8), P. 1244–1247.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Pregnel K.L., Pegg D.T., Binomial states and the phase distribution measurement of weak optical elds. Phys. Rev. A, 2003, 67, 063814.</mixed-citation><mixed-citation xml:lang="en">Pregnel K.L., Pegg D.T., Binomial states and the phase distribution measurement of weak optical elds. Phys. Rev. A, 2003, 67, 063814.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Srinivas M.D., Davies E.B., Photon counting probabilities in quantum optics. Optica Acta, 1981, 28 (7), P. 981–996.</mixed-citation><mixed-citation xml:lang="en">Srinivas M.D., Davies E.B., Photon counting probabilities in quantum optics. Optica Acta, 1981, 28 (7), P. 981–996.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Trifanov A.I., Miroshnichenko G.P. Reduced conditional dynamic of quantum system under indirect quantum measurement. Nanosystems: Physics, Chemistry, Mathematics, 2013, 4 (5), P. 635–647.</mixed-citation><mixed-citation xml:lang="en">Trifanov A.I., Miroshnichenko G.P. Reduced conditional dynamic of quantum system under indirect quantum measurement. Nanosystems: Physics, Chemistry, Mathematics, 2013, 4 (5), P. 635–647.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Dodonov A.V., Mizrahi S.S. Inclusion of nonidealities in the continuous photodetection model. Phys. Rev. A, 2007, 75, 013806.</mixed-citation><mixed-citation xml:lang="en">Dodonov A.V., Mizrahi S.S. Inclusion of nonidealities in the continuous photodetection model. Phys. Rev. A, 2007, 75, 013806.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Mario Ziman, Process positive-operator-valued measure: A mathematical framework for the description of process tomography experiments. Phys. Rev. A, 2008, 77, 062112.</mixed-citation><mixed-citation xml:lang="en">Mario Ziman, Process positive-operator-valued measure: A mathematical framework for the description of process tomography experiments. Phys. Rev. A, 2008, 77, 062112.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Briegel H.-J., Englert B.-G., Sterpi N., Walther H. One-atom maser: Statistics of detector clicks. Phys. Rev. A, 1994, 49, P. 2962.</mixed-citation><mixed-citation xml:lang="en">Briegel H.-J., Englert B.-G., Sterpi N., Walther H. One-atom maser: Statistics of detector clicks. Phys. Rev. A, 1994, 49, P. 2962.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Trifanova E.S., Trifanov A.I. Monitoring of quantum mode correlation functions in the presence of pointer state phase relaxation. J. of Phys.: Conf. Ser., 2016, 735, 012044.</mixed-citation><mixed-citation xml:lang="en">Trifanova E.S., Trifanov A.I. Monitoring of quantum mode correlation functions in the presence of pointer state phase relaxation. J. of Phys.: Conf. Ser., 2016, 735, 012044.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Johnson D.B., Schieve W.C., Detection statistics in the micromaser. Phys. Rev. A, 2001, 63, 033808.</mixed-citation><mixed-citation xml:lang="en">Johnson D.B., Schieve W.C., Detection statistics in the micromaser. Phys. Rev. A, 2001, 63, 033808.</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>
