Wigner-function Evolution and Photon-number Decay of Quantum States in a Laser Cavity with the Kerr Medium
Using the thermal-entangled state representation theory, we solve the master equation describing a laser cavity with the Kerr medium, and find that the analytical evolution law of the density operator is governed by the infinitive Kraus operator-sum representation. Also, we obtain a new evolution fo...
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| Veröffentlicht in: | International journal of theoretical physics 2020-02, Vol.59 (2), p.350-360 |
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| container_end_page | 360 |
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| container_title | International journal of theoretical physics |
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| creator | Wu, Meng-Yan Lv, Heng-Yun Wang, Ji-Suo Liang, Bao-Long Meng, Xiang-Guo |
| description | Using the thermal-entangled state representation theory, we solve the master equation describing a laser cavity with the Kerr medium, and find that the analytical evolution law of the density operator is governed by the infinitive Kraus operator-sum representation. Also, we obtain a new evolution formula of the Wigner function (WF) for any initial state in this cavity by rewriting the WF as a scalar product between two pure states. In term of the new WF formula, the WF evolution of the initial coherent and number states and the decay of photon number are also presented. |
| doi_str_mv | 10.1007/s10773-019-04328-9 |
| format | Article |
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In term of the new WF formula, the WF evolution of the initial coherent and number states and the decay of photon number are also presented.</description><subject>Decay</subject><subject>Elementary Particles</subject><subject>Entangled states</subject><subject>Evolution</subject><subject>Mathematical and Computational Physics</subject><subject>Operators (mathematics)</subject><subject>Photons</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Representations</subject><subject>Theoretical</subject><issn>0020-7748</issn><issn>1572-9575</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kMtOwzAQRS0EEqXwA6wssTaM7aSOl6iUhygCBIil5cROm6pxih9F_XvSFokdq5nFuXc0B6FzCpcUQFwFCkJwAlQSyDgriDxAA5oLRmQu8kM0AGBAhMiKY3QSwgIAJGTFAC0-m5mzntTJVbHpHJ6su2XabdoZ_DLvYueIS21pPb6xld7grsavSbuYWvwWdbQBNz2Mpzr0yFivm7jB302c4zi3-NF6j5-saVJ7io5qvQz27HcO0cft5H18T6bPdw_j6ympOJWRcMqKER_R0vSflLk0tGS2HFUs16JgXFDKqxKA84yasjY5WEE1LZjMClOXxvAhutj3rnz3lWyIatEl7_qTivEcJM-klD3F9lTluxC8rdXKN632G0VBbZ2qvVPVO1U7p2ob4vtQ6GE3s_6v-p_UDxFDeWU</recordid><startdate>20200201</startdate><enddate>20200201</enddate><creator>Wu, Meng-Yan</creator><creator>Lv, Heng-Yun</creator><creator>Wang, Ji-Suo</creator><creator>Liang, Bao-Long</creator><creator>Meng, Xiang-Guo</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20200201</creationdate><title>Wigner-function Evolution and Photon-number Decay of Quantum States in a Laser Cavity with the Kerr Medium</title><author>Wu, Meng-Yan ; Lv, Heng-Yun ; Wang, Ji-Suo ; Liang, Bao-Long ; Meng, Xiang-Guo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-31286361bd043b59d1b2eb6c25a78237113cb003341dbfd50e71a182948dfbdd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Decay</topic><topic>Elementary Particles</topic><topic>Entangled states</topic><topic>Evolution</topic><topic>Mathematical and Computational Physics</topic><topic>Operators (mathematics)</topic><topic>Photons</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Representations</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Meng-Yan</creatorcontrib><creatorcontrib>Lv, Heng-Yun</creatorcontrib><creatorcontrib>Wang, Ji-Suo</creatorcontrib><creatorcontrib>Liang, Bao-Long</creatorcontrib><creatorcontrib>Meng, Xiang-Guo</creatorcontrib><collection>CrossRef</collection><jtitle>International journal of theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Meng-Yan</au><au>Lv, Heng-Yun</au><au>Wang, Ji-Suo</au><au>Liang, Bao-Long</au><au>Meng, Xiang-Guo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Wigner-function Evolution and Photon-number Decay of Quantum States in a Laser Cavity with the Kerr Medium</atitle><jtitle>International journal of theoretical physics</jtitle><stitle>Int J Theor Phys</stitle><date>2020-02-01</date><risdate>2020</risdate><volume>59</volume><issue>2</issue><spage>350</spage><epage>360</epage><pages>350-360</pages><issn>0020-7748</issn><eissn>1572-9575</eissn><abstract>Using the thermal-entangled state representation theory, we solve the master equation describing a laser cavity with the Kerr medium, and find that the analytical evolution law of the density operator is governed by the infinitive Kraus operator-sum representation. 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| subjects | Decay Elementary Particles Entangled states Evolution Mathematical and Computational Physics Operators (mathematics) Photons Physics Physics and Astronomy Quantum Field Theory Quantum Physics Representations Theoretical |
| title | Wigner-function Evolution and Photon-number Decay of Quantum States in a Laser Cavity with the Kerr Medium |
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