Squeezed and Correlated States of Parametric Oscillator and Free Particle in the Probability Representation of Quantum Mechanics
The states of quantum oscillator with time-dependent frequency are described by the tomographic probability distributions. The integrals of motion, being linear in the position and momentum operators, are used to construct the Gaussian squeezed and correlated states of the oscillator associated with...
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| Veröffentlicht in: | Journal of Russian laser research 2022-05, Vol.43 (3), p.280-289 |
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| container_title | Journal of Russian laser research |
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| creator | Chernega, Vladimir N. Man’ko, Olga V. |
| description | The states of quantum oscillator with time-dependent frequency are described by the tomographic probability distributions. The integrals of motion, being linear in the position and momentum operators, are used to construct the Gaussian squeezed and correlated states of the oscillator associated with normal probability distributions of the quadrature determining the density matrices of the states. The even and odd coherent states of the oscillator and their symplectic tomograms are given in terms of probability distributions. Considering free particle as a partial case of the oscillator with zero frequency, we find tomograms of even and odd coherent states of free particle in the probability representation. |
| doi_str_mv | 10.1007/s10946-022-10050-5 |
| format | Article |
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The integrals of motion, being linear in the position and momentum operators, are used to construct the Gaussian squeezed and correlated states of the oscillator associated with normal probability distributions of the quadrature determining the density matrices of the states. The even and odd coherent states of the oscillator and their symplectic tomograms are given in terms of probability distributions. 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Considering free particle as a partial case of the oscillator with zero frequency, we find tomograms of even and odd coherent states of free particle in the probability representation.</description><subject>Lasers</subject><subject>Microwaves</subject><subject>Operators (mathematics)</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Parametric amplifiers</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quadratures</subject><subject>Quantum mechanics</subject><subject>Representations</subject><subject>RF and Optical Engineering</subject><issn>1071-2836</issn><issn>1573-8760</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9UD1PwzAQjRBIlMIfYLLEHPBH4jgjqiggFRUozJbtXKirNCm2M5SJn47TILEx3T29j9O9JLkk-JpgXNx4gsuMp5jSNOIcp_lRMiF5wVJRcHwcd1yQlArGT5Mz7zcY41KIcpJ8rz57gC-okGorNOucg0aFCFchDo-6Gj0rp7YQnDVo6Y1tIt-5g3zuAAY6WNMAsi0K64hdp5W2jQ179Ao7Bx7amGW7dgh76VUb-i16ArNWrTX-PDmpVePh4ndOk_f53dvsIV0s7x9nt4vU0KwM8SvNMpYZoRVnUJaM1JyaSikiiCKKa6IJaEFLVuOsMryiWoMidV7Q6CwKNk2uxtyd6-LLPshN17s2npSUF0IQnPM8quioMq7z3kEtd85uldtLguXQtByblrFpeWhaDiY2mnwUtx_g_qL_cf0ADlSC3w</recordid><startdate>20220501</startdate><enddate>20220501</enddate><creator>Chernega, Vladimir N.</creator><creator>Man’ko, Olga V.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220501</creationdate><title>Squeezed and Correlated States of Parametric Oscillator and Free Particle in the Probability Representation of Quantum Mechanics</title><author>Chernega, Vladimir N. ; Man’ko, Olga V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c249t-10b3434c8ba63e9931f62cdaa181a1a6b1b1eb8293f04dc6d2bbea1f5720b3773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Lasers</topic><topic>Microwaves</topic><topic>Operators (mathematics)</topic><topic>Optical Devices</topic><topic>Optics</topic><topic>Parametric amplifiers</topic><topic>Photonics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quadratures</topic><topic>Quantum mechanics</topic><topic>Representations</topic><topic>RF and Optical Engineering</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chernega, Vladimir N.</creatorcontrib><creatorcontrib>Man’ko, Olga V.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of Russian laser research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chernega, Vladimir N.</au><au>Man’ko, Olga V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Squeezed and Correlated States of Parametric Oscillator and Free Particle in the Probability Representation of Quantum Mechanics</atitle><jtitle>Journal of Russian laser research</jtitle><stitle>J Russ Laser Res</stitle><date>2022-05-01</date><risdate>2022</risdate><volume>43</volume><issue>3</issue><spage>280</spage><epage>289</epage><pages>280-289</pages><issn>1071-2836</issn><eissn>1573-8760</eissn><abstract>The states of quantum oscillator with time-dependent frequency are described by the tomographic probability distributions. 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| subjects | Lasers Microwaves Operators (mathematics) Optical Devices Optics Parametric amplifiers Photonics Physics Physics and Astronomy Quadratures Quantum mechanics Representations RF and Optical Engineering |
| title | Squeezed and Correlated States of Parametric Oscillator and Free Particle in the Probability Representation of Quantum Mechanics |
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