{"title":"光学腔中非简并参量衰减的量子动力学","authors":"S. T. Gevorgyan, M. S. Gevorgyan","doi":"10.1134/S106833722204017X","DOIUrl":null,"url":null,"abstract":"<p>The quantum dynamics of the number of photons, of the quantum entropy, and the Wigner functions of field interacting modes are studied for the process of non-degenerate parametric decay in an optical cavity, where a quantum with energy <span>\\(\\hbar {{\\omega }_{3}}\\)</span> decays into two photons with energies <span>\\(\\hbar {{\\omega }_{2}}\\)</span> and <span>\\(\\hbar {{\\omega }_{1}}\\)</span> (<span>\\(\\hbar {{\\omega }_{3}} = \\hbar {{\\omega }_{2}} + \\hbar {{\\omega }_{1}}\\)</span>). It is shown that the mode with frequency <span>\\({{\\omega }_{3}}\\)</span> can localize in a squeezed state in the region of very strong coupling between the interacting modes, and the modes with frequencies <span>\\({{\\omega }_{1}}\\)</span> and <span>\\({{\\omega }_{2}}\\)</span> localize in states that are statistical mixtures of Fock states regardless of the value of the coupling coefficient</p>","PeriodicalId":623,"journal":{"name":"Journal of Contemporary Physics (Armenian Academy of Sciences)","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum Dynamics of Non-Degenerate Parameter Decay in an Optical Cavity\",\"authors\":\"S. T. Gevorgyan, M. S. Gevorgyan\",\"doi\":\"10.1134/S106833722204017X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The quantum dynamics of the number of photons, of the quantum entropy, and the Wigner functions of field interacting modes are studied for the process of non-degenerate parametric decay in an optical cavity, where a quantum with energy <span>\\\\(\\\\hbar {{\\\\omega }_{3}}\\\\)</span> decays into two photons with energies <span>\\\\(\\\\hbar {{\\\\omega }_{2}}\\\\)</span> and <span>\\\\(\\\\hbar {{\\\\omega }_{1}}\\\\)</span> (<span>\\\\(\\\\hbar {{\\\\omega }_{3}} = \\\\hbar {{\\\\omega }_{2}} + \\\\hbar {{\\\\omega }_{1}}\\\\)</span>). It is shown that the mode with frequency <span>\\\\({{\\\\omega }_{3}}\\\\)</span> can localize in a squeezed state in the region of very strong coupling between the interacting modes, and the modes with frequencies <span>\\\\({{\\\\omega }_{1}}\\\\)</span> and <span>\\\\({{\\\\omega }_{2}}\\\\)</span> localize in states that are statistical mixtures of Fock states regardless of the value of the coupling coefficient</p>\",\"PeriodicalId\":623,\"journal\":{\"name\":\"Journal of Contemporary Physics (Armenian Academy of Sciences)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-12-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Contemporary Physics (Armenian Academy of Sciences)\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S106833722204017X\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Contemporary Physics (Armenian Academy of Sciences)","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S106833722204017X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Quantum Dynamics of Non-Degenerate Parameter Decay in an Optical Cavity
The quantum dynamics of the number of photons, of the quantum entropy, and the Wigner functions of field interacting modes are studied for the process of non-degenerate parametric decay in an optical cavity, where a quantum with energy \(\hbar {{\omega }_{3}}\) decays into two photons with energies \(\hbar {{\omega }_{2}}\) and \(\hbar {{\omega }_{1}}\) (\(\hbar {{\omega }_{3}} = \hbar {{\omega }_{2}} + \hbar {{\omega }_{1}}\)). It is shown that the mode with frequency \({{\omega }_{3}}\) can localize in a squeezed state in the region of very strong coupling between the interacting modes, and the modes with frequencies \({{\omega }_{1}}\) and \({{\omega }_{2}}\) localize in states that are statistical mixtures of Fock states regardless of the value of the coupling coefficient
期刊介绍:
Journal of Contemporary Physics (Armenian Academy of Sciences) is a journal that covers all fields of modern physics. It publishes significant contributions in such areas of theoretical and applied science as interaction of elementary particles at superhigh energies, elementary particle physics, charged particle interactions with matter, physics of semiconductors and semiconductor devices, physics of condensed matter, radiophysics and radioelectronics, optics and quantum electronics, quantum size effects, nanophysics, sensorics, and superconductivity.