Coherent phase states in the coordinate and Wigner representations
We study numerically the coordinate wave functions and the Wigner functions of the coherent phase states (CPS), paying the main attention to their differences from the standard (Klauder--Glauber--Sudarshan) coherent states, especially in the case of high mean values of the number operator. In this c...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2022-11 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Miguel Citeli de Freitas Dodonov, Viktor V |
| description | We study numerically the coordinate wave functions and the Wigner functions of the coherent phase states (CPS), paying the main attention to their differences from the standard (Klauder--Glauber--Sudarshan) coherent states, especially in the case of high mean values of the number operator. In this case, the CPS can possess a strong coordinate (or momentum) squeezing, which is, roughly, twice weaker than for the vacuum squeezed states. The Robertson--Schr\"odinger invariant uncertainty product in the CPS logarithmically increases with the mean value of the number operator (whereas it is constant for the standard coherent states). Some measures of (non)Gaussianity of CPS are considered. |
| doi_str_mv | 10.48550/arxiv.2211.06256 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2211_06256</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2736059637</sourcerecordid><originalsourceid>FETCH-LOGICAL-a527-712ba29ebc9107f4a3ed305eb73069064d9a092021fa5a8ece6ad52122ef2d2e3</originalsourceid><addsrcrecordid>eNotj0FLw0AUhBdBsNT-AE8ueE58-za72xw1qBUKXgoew0vyYlJ0E3dT0X9vbD0NDDPDfEJcKUiztTFwS-G7_0oRlUrBorFnYoFaq2SdIV6IVYx7AEDr0Bi9EPfF0HFgP8mxo8gyTjRxlL2XU8eyHobQ9H62JPlGvvZvnoMMPAaOc4emfvDxUpy39B559a9LsXt82BWbZPvy9FzcbRMy6BKnsCLMuapzBa7NSHOjwXDlNNgcbNbkBDkCqpYMrblmS41BhcgtNsh6Ka5Ps0fAcgz9B4Wf8g-0PILOiZtTYgzD54HjVO6HQ_DzpxKdtmByq53-BfM_Vdw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2736059637</pqid></control><display><type>article</type><title>Coherent phase states in the coordinate and Wigner representations</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Miguel Citeli de Freitas ; Dodonov, Viktor V</creator><creatorcontrib>Miguel Citeli de Freitas ; Dodonov, Viktor V</creatorcontrib><description>We study numerically the coordinate wave functions and the Wigner functions of the coherent phase states (CPS), paying the main attention to their differences from the standard (Klauder--Glauber--Sudarshan) coherent states, especially in the case of high mean values of the number operator. In this case, the CPS can possess a strong coordinate (or momentum) squeezing, which is, roughly, twice weaker than for the vacuum squeezed states. The Robertson--Schr\"odinger invariant uncertainty product in the CPS logarithmically increases with the mean value of the number operator (whereas it is constant for the standard coherent states). Some measures of (non)Gaussianity of CPS are considered.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2211.06256</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Coherence ; Mathematical analysis ; Physics - Quantum Physics ; Squeezed states (quantum theory) ; Wave functions</subject><ispartof>arXiv.org, 2022-11</ispartof><rights>2022. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.2211.06256$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.3390/quantum4040036$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Miguel Citeli de Freitas</creatorcontrib><creatorcontrib>Dodonov, Viktor V</creatorcontrib><title>Coherent phase states in the coordinate and Wigner representations</title><title>arXiv.org</title><description>We study numerically the coordinate wave functions and the Wigner functions of the coherent phase states (CPS), paying the main attention to their differences from the standard (Klauder--Glauber--Sudarshan) coherent states, especially in the case of high mean values of the number operator. In this case, the CPS can possess a strong coordinate (or momentum) squeezing, which is, roughly, twice weaker than for the vacuum squeezed states. The Robertson--Schr\"odinger invariant uncertainty product in the CPS logarithmically increases with the mean value of the number operator (whereas it is constant for the standard coherent states). Some measures of (non)Gaussianity of CPS are considered.</description><subject>Coherence</subject><subject>Mathematical analysis</subject><subject>Physics - Quantum Physics</subject><subject>Squeezed states (quantum theory)</subject><subject>Wave functions</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj0FLw0AUhBdBsNT-AE8ueE58-za72xw1qBUKXgoew0vyYlJ0E3dT0X9vbD0NDDPDfEJcKUiztTFwS-G7_0oRlUrBorFnYoFaq2SdIV6IVYx7AEDr0Bi9EPfF0HFgP8mxo8gyTjRxlL2XU8eyHobQ9H62JPlGvvZvnoMMPAaOc4emfvDxUpy39B559a9LsXt82BWbZPvy9FzcbRMy6BKnsCLMuapzBa7NSHOjwXDlNNgcbNbkBDkCqpYMrblmS41BhcgtNsh6Ka5Ps0fAcgz9B4Wf8g-0PILOiZtTYgzD54HjVO6HQ_DzpxKdtmByq53-BfM_Vdw</recordid><startdate>20221111</startdate><enddate>20221111</enddate><creator>Miguel Citeli de Freitas</creator><creator>Dodonov, Viktor V</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20221111</creationdate><title>Coherent phase states in the coordinate and Wigner representations</title><author>Miguel Citeli de Freitas ; Dodonov, Viktor V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a527-712ba29ebc9107f4a3ed305eb73069064d9a092021fa5a8ece6ad52122ef2d2e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Coherence</topic><topic>Mathematical analysis</topic><topic>Physics - Quantum Physics</topic><topic>Squeezed states (quantum theory)</topic><topic>Wave functions</topic><toplevel>online_resources</toplevel><creatorcontrib>Miguel Citeli de Freitas</creatorcontrib><creatorcontrib>Dodonov, Viktor V</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Miguel Citeli de Freitas</au><au>Dodonov, Viktor V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Coherent phase states in the coordinate and Wigner representations</atitle><jtitle>arXiv.org</jtitle><date>2022-11-11</date><risdate>2022</risdate><eissn>2331-8422</eissn><abstract>We study numerically the coordinate wave functions and the Wigner functions of the coherent phase states (CPS), paying the main attention to their differences from the standard (Klauder--Glauber--Sudarshan) coherent states, especially in the case of high mean values of the number operator. In this case, the CPS can possess a strong coordinate (or momentum) squeezing, which is, roughly, twice weaker than for the vacuum squeezed states. The Robertson--Schr\"odinger invariant uncertainty product in the CPS logarithmically increases with the mean value of the number operator (whereas it is constant for the standard coherent states). Some measures of (non)Gaussianity of CPS are considered.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2211.06256</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2022-11 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2211_06256 |
| source | arXiv.org; Free E- Journals |
| subjects | Coherence Mathematical analysis Physics - Quantum Physics Squeezed states (quantum theory) Wave functions |
| title | Coherent phase states in the coordinate and Wigner representations |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T16%3A36%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Coherent%20phase%20states%20in%20the%20coordinate%20and%20Wigner%20representations&rft.jtitle=arXiv.org&rft.au=Miguel%20Citeli%20de%20Freitas&rft.date=2022-11-11&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2211.06256&rft_dat=%3Cproquest_arxiv%3E2736059637%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2736059637&rft_id=info:pmid/&rfr_iscdi=true |