Constructing an entangled state in Heisenberg picture for inflationary cosmology
The effects of the entanglement of the inflaton field which initially entangled with those of another field on observables like power spectrum are known in the context of the Schr\"{o}dinger field theory. To clarify this effect in Heisenberg picture, there were some attempts to construct the in...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2017-12 |
|---|---|
| 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 | Rostami, Abasalt Firouzjaee, Javad T |
| description | The effects of the entanglement of the inflaton field which initially entangled with those of another field on observables like power spectrum are known in the context of the Schr\"{o}dinger field theory. To clarify this effect in Heisenberg picture, there were some attempts to construct the initial entangled state by making use of an entangled transformation (like Bogoliubov transformation) between the Bunch-Davies vacuums and squeezed states. We study the role of the time-dependent entangled transformation in the Schr\"{o}dinger field theory. We derive the relation between two vacuum states which their mode functions are transformed by the entangled transformation in Schr\"{o}dinger picture. We discuss that the time-dependency of the entanglement parameter is inevitable and only in the first order of the entanglement parameter perturbation this time-dependency vanishes. We study the entangled transformation in the Heisenberg picture in term of the entangled parameter which appears in the entangled state in Schr\"{o}dinger picture. |
| doi_str_mv | 10.48550/arxiv.1710.09648 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1710_09648</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2071717158</sourcerecordid><originalsourceid>FETCH-LOGICAL-a528-ae26b63988ac9b6388666ed0de685c3afd1efe2f6e54befe749894c9af12efbe3</originalsourceid><addsrcrecordid>eNotj1FLwzAUhYMgOOZ-gE8GfO5MkyZNHmWoEwb6sPeStjclo0tqkor792ab3Id7OPdwOR9CDyVZV5Jz8qzDr_1Zl3U2iBKVvEELylhZyIrSO7SK8UAIoaKmnLMF-tp4F1OYu2TdgLXD4JJ2wwg9jkknwNbhLdgIroUw4Ml2aQ6AjQ_5YkadrHc6nHDn49GPfjjdo1ujxwir_71E-7fX_WZb7D7fPzYvu0JzKgsNVLSCKSl1p7KQUggBPelBSN4xbfoSDFAjgFdtVnWlpKo6pU1JwbTAlujx-vaC20zBHnON5ozdXLBz4umamIL_niGm5uDn4HKnhpK6PA-X7A-du1zW</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2071717158</pqid></control><display><type>article</type><title>Constructing an entangled state in Heisenberg picture for inflationary cosmology</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Rostami, Abasalt ; Firouzjaee, Javad T</creator><creatorcontrib>Rostami, Abasalt ; Firouzjaee, Javad T</creatorcontrib><description>The effects of the entanglement of the inflaton field which initially entangled with those of another field on observables like power spectrum are known in the context of the Schr\"{o}dinger field theory. To clarify this effect in Heisenberg picture, there were some attempts to construct the initial entangled state by making use of an entangled transformation (like Bogoliubov transformation) between the Bunch-Davies vacuums and squeezed states. We study the role of the time-dependent entangled transformation in the Schr\"{o}dinger field theory. We derive the relation between two vacuum states which their mode functions are transformed by the entangled transformation in Schr\"{o}dinger picture. We discuss that the time-dependency of the entanglement parameter is inevitable and only in the first order of the entanglement parameter perturbation this time-dependency vanishes. We study the entangled transformation in the Heisenberg picture in term of the entangled parameter which appears in the entangled state in Schr\"{o}dinger picture.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1710.09648</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Cosmology ; Entanglement ; Field theory ; Order parameters ; Perturbation ; Physics - General Relativity and Quantum Cosmology ; Physics - High Energy Physics - Theory ; Physics - Quantum Physics ; Quantum theory ; Squeezed states (quantum theory) ; Superconductors ; Time dependence ; Transformations</subject><ispartof>arXiv.org, 2017-12</ispartof><rights>2017. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,781,882,27906</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevD.97.063501$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.1710.09648$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Rostami, Abasalt</creatorcontrib><creatorcontrib>Firouzjaee, Javad T</creatorcontrib><title>Constructing an entangled state in Heisenberg picture for inflationary cosmology</title><title>arXiv.org</title><description>The effects of the entanglement of the inflaton field which initially entangled with those of another field on observables like power spectrum are known in the context of the Schr\"{o}dinger field theory. To clarify this effect in Heisenberg picture, there were some attempts to construct the initial entangled state by making use of an entangled transformation (like Bogoliubov transformation) between the Bunch-Davies vacuums and squeezed states. We study the role of the time-dependent entangled transformation in the Schr\"{o}dinger field theory. We derive the relation between two vacuum states which their mode functions are transformed by the entangled transformation in Schr\"{o}dinger picture. We discuss that the time-dependency of the entanglement parameter is inevitable and only in the first order of the entanglement parameter perturbation this time-dependency vanishes. We study the entangled transformation in the Heisenberg picture in term of the entangled parameter which appears in the entangled state in Schr\"{o}dinger picture.</description><subject>Cosmology</subject><subject>Entanglement</subject><subject>Field theory</subject><subject>Order parameters</subject><subject>Perturbation</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Quantum Physics</subject><subject>Quantum theory</subject><subject>Squeezed states (quantum theory)</subject><subject>Superconductors</subject><subject>Time dependence</subject><subject>Transformations</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</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>eNotj1FLwzAUhYMgOOZ-gE8GfO5MkyZNHmWoEwb6sPeStjclo0tqkor792ab3Id7OPdwOR9CDyVZV5Jz8qzDr_1Zl3U2iBKVvEELylhZyIrSO7SK8UAIoaKmnLMF-tp4F1OYu2TdgLXD4JJ2wwg9jkknwNbhLdgIroUw4Ml2aQ6AjQ_5YkadrHc6nHDn49GPfjjdo1ujxwir_71E-7fX_WZb7D7fPzYvu0JzKgsNVLSCKSl1p7KQUggBPelBSN4xbfoSDFAjgFdtVnWlpKo6pU1JwbTAlujx-vaC20zBHnON5ozdXLBz4umamIL_niGm5uDn4HKnhpK6PA-X7A-du1zW</recordid><startdate>20171204</startdate><enddate>20171204</enddate><creator>Rostami, Abasalt</creator><creator>Firouzjaee, Javad T</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>20171204</creationdate><title>Constructing an entangled state in Heisenberg picture for inflationary cosmology</title><author>Rostami, Abasalt ; Firouzjaee, Javad T</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a528-ae26b63988ac9b6388666ed0de685c3afd1efe2f6e54befe749894c9af12efbe3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Cosmology</topic><topic>Entanglement</topic><topic>Field theory</topic><topic>Order parameters</topic><topic>Perturbation</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Quantum Physics</topic><topic>Quantum theory</topic><topic>Squeezed states (quantum theory)</topic><topic>Superconductors</topic><topic>Time dependence</topic><topic>Transformations</topic><toplevel>online_resources</toplevel><creatorcontrib>Rostami, Abasalt</creatorcontrib><creatorcontrib>Firouzjaee, Javad T</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</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 Korea</collection><collection>SciTech Premium Collection</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>Rostami, Abasalt</au><au>Firouzjaee, Javad T</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Constructing an entangled state in Heisenberg picture for inflationary cosmology</atitle><jtitle>arXiv.org</jtitle><date>2017-12-04</date><risdate>2017</risdate><eissn>2331-8422</eissn><abstract>The effects of the entanglement of the inflaton field which initially entangled with those of another field on observables like power spectrum are known in the context of the Schr\"{o}dinger field theory. To clarify this effect in Heisenberg picture, there were some attempts to construct the initial entangled state by making use of an entangled transformation (like Bogoliubov transformation) between the Bunch-Davies vacuums and squeezed states. We study the role of the time-dependent entangled transformation in the Schr\"{o}dinger field theory. We derive the relation between two vacuum states which their mode functions are transformed by the entangled transformation in Schr\"{o}dinger picture. We discuss that the time-dependency of the entanglement parameter is inevitable and only in the first order of the entanglement parameter perturbation this time-dependency vanishes. We study the entangled transformation in the Heisenberg picture in term of the entangled parameter which appears in the entangled state in Schr\"{o}dinger picture.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1710.09648</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2017-12 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_1710_09648 |
| source | arXiv.org; Free E- Journals |
| subjects | Cosmology Entanglement Field theory Order parameters Perturbation Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory Physics - Quantum Physics Quantum theory Squeezed states (quantum theory) Superconductors Time dependence Transformations |
| title | Constructing an entangled state in Heisenberg picture for inflationary cosmology |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-20T09%3A05%3A09IST&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=Constructing%20an%20entangled%20state%20in%20Heisenberg%20picture%20for%20inflationary%20cosmology&rft.jtitle=arXiv.org&rft.au=Rostami,%20Abasalt&rft.date=2017-12-04&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1710.09648&rft_dat=%3Cproquest_arxiv%3E2071717158%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=2071717158&rft_id=info:pmid/&rfr_iscdi=true |