Defining the semiclassical limit of the quantum Rabi Hamiltonian

Defining the semiclassical limit of the quantum Rabi Hamiltonian

The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displace...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2024-03
Hauptverfasser: Twyeffort Irish, E K, Armour, A D
Format: Artikel
Sprache:eng
Schlagworte:
Coupling
Physics - Quantum Physics
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 Twyeffort Irish, E K
Armour, A D
description The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis \(\lvert \alpha, n \rangle\), the semiclassical limit is obtained by taking \(\lvert \alpha \rvert \to \infty\) and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies.
doi_str_mv 10.48550/arxiv.2203.17147
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2203_17147</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2646014185</sourcerecordid><originalsourceid>FETCH-LOGICAL-a957-8e820c73d90d5e822649acfea8676b308fa20f3febf27d50ad859e24e4f1deac3</originalsourceid><addsrcrecordid>eNotj19LwzAUxYMgOOY-gE8GfG5NbpImfVPmnwkDQfZebttEM9p0a1rRb2_X-XQOnMO590fIDWepNEqxe-x__HcKwETKNZf6gixACJ4YCXBFVjHuGWOQaVBKLMjDk3U--PBJhy9Lo2191WCMvsKGNr71A-3cHB1HDMPY0g8sPd1g65uhCx7DNbl02ES7-tcl2b0879abZPv--rZ-3CaYK50Ya4BVWtQ5q9XkIZM5Vs6iyXRWCmYcAnPC2dKBrhXD2qjcgrTS8dpiJZbk9jw74xWH3rfY_xYnzGLGnBp358ah746jjUOx78Y-TD8V07WMccmNEn8d9VVj</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2646014185</pqid></control><display><type>article</type><title>Defining the semiclassical limit of the quantum Rabi Hamiltonian</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Twyeffort Irish, E K ; Armour, A D</creator><creatorcontrib>Twyeffort Irish, E K ; Armour, A D</creatorcontrib><description>The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis \(\lvert \alpha, n \rangle\), the semiclassical limit is obtained by taking \(\lvert \alpha \rvert \to \infty\) and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2203.17147</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Coupling ; Physics - Quantum Physics</subject><ispartof>arXiv.org, 2024-03</ispartof><rights>2024. This work is published under http://creativecommons.org/licenses/by-nc-sa/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-nc-sa/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,782,786,887,27932</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevLett.129.183603$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2203.17147$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Twyeffort Irish, E K</creatorcontrib><creatorcontrib>Armour, A D</creatorcontrib><title>Defining the semiclassical limit of the quantum Rabi Hamiltonian</title><title>arXiv.org</title><description>The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis \(\lvert \alpha, n \rangle\), the semiclassical limit is obtained by taking \(\lvert \alpha \rvert \to \infty\) and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies.</description><subject>Coupling</subject><subject>Physics - Quantum Physics</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</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>eNotj19LwzAUxYMgOOY-gE8GfG5NbpImfVPmnwkDQfZebttEM9p0a1rRb2_X-XQOnMO590fIDWepNEqxe-x__HcKwETKNZf6gixACJ4YCXBFVjHuGWOQaVBKLMjDk3U--PBJhy9Lo2191WCMvsKGNr71A-3cHB1HDMPY0g8sPd1g65uhCx7DNbl02ES7-tcl2b0879abZPv--rZ-3CaYK50Ya4BVWtQ5q9XkIZM5Vs6iyXRWCmYcAnPC2dKBrhXD2qjcgrTS8dpiJZbk9jw74xWH3rfY_xYnzGLGnBp358ah746jjUOx78Y-TD8V07WMccmNEn8d9VVj</recordid><startdate>20240326</startdate><enddate>20240326</enddate><creator>Twyeffort Irish, E K</creator><creator>Armour, A D</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>20240326</creationdate><title>Defining the semiclassical limit of the quantum Rabi Hamiltonian</title><author>Twyeffort Irish, E K ; Armour, A D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a957-8e820c73d90d5e822649acfea8676b308fa20f3febf27d50ad859e24e4f1deac3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Coupling</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Twyeffort Irish, E K</creatorcontrib><creatorcontrib>Armour, A D</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; 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>Access via ProQuest (Open Access)</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>Twyeffort Irish, E K</au><au>Armour, A D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Defining the semiclassical limit of the quantum Rabi Hamiltonian</atitle><jtitle>arXiv.org</jtitle><date>2024-03-26</date><risdate>2024</risdate><eissn>2331-8422</eissn><abstract>The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the quantum Hamiltonian is developed here. Working in a displaced Fock-state basis \(\lvert \alpha, n \rangle\), the semiclassical limit is obtained by taking \(\lvert \alpha \rvert \to \infty\) and the coupling to zero. This resolves the discrepancy between coherent-state dynamics and semiclassical Rabi oscillations in both standard and ultrastrong coupling/driving regimes. Furthermore, it provides a framework for studying the quantum-to-classical transition, with potential applications in quantum technologies.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2203.17147</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2024-03
issn 2331-8422
language eng
recordid cdi_arxiv_primary_2203_17147
source arXiv.org; Free E- Journals
subjects Coupling
Physics - Quantum Physics
title Defining the semiclassical limit of the quantum Rabi Hamiltonian
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-03T22%3A50%3A34IST&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=Defining%20the%20semiclassical%20limit%20of%20the%20quantum%20Rabi%20Hamiltonian&rft.jtitle=arXiv.org&rft.au=Twyeffort%20Irish,%20E%20K&rft.date=2024-03-26&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2203.17147&rft_dat=%3Cproquest_arxiv%3E2646014185%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=2646014185&rft_id=info:pmid/&rfr_iscdi=true