Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
We provide an analytic method for estimating the entanglement of the non-Gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of the eigenstates of the oscillator systems to establish bounds for their ϵ -Rényi entanglement entropy ϵ ∈ ( 0 , 1 ) . Our...
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| Veröffentlicht in: | Letters in mathematical physics 2024-09, Vol.114 (5), Article 116 |
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| creator | Abdul-Rahman, Houssam Sims, Robert Stolz, Günter |
| description | We provide an analytic method for estimating the entanglement of the non-Gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of the eigenstates of the oscillator systems to establish bounds for their
ϵ
-Rényi entanglement entropy
ϵ
∈
(
0
,
1
)
. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems. |
| doi_str_mv | 10.1007/s11005-024-01863-3 |
| format | Article |
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ϵ
-Rényi entanglement entropy
ϵ
∈
(
0
,
1
)
. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems.</description><identifier>ISSN: 1573-0530</identifier><identifier>ISSN: 0377-9017</identifier><identifier>EISSN: 1573-0530</identifier><identifier>DOI: 10.1007/s11005-024-01863-3</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Complex Systems ; Eigenvectors ; Excitation ; Geometry ; Group Theory and Generalizations ; Harmonic oscillators ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Theoretical</subject><ispartof>Letters in mathematical physics, 2024-09, Vol.114 (5), Article 116</ispartof><rights>The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c200t-9ac04488dfad72bc4bbf14fa91061a2a08ade8c21203e1d5fc604f27a23d6dfd3</cites><orcidid>0000-0002-5796-2476</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11005-024-01863-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11005-024-01863-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,781,785,27929,27930,41493,42562,51324</link.rule.ids></links><search><creatorcontrib>Abdul-Rahman, Houssam</creatorcontrib><creatorcontrib>Sims, Robert</creatorcontrib><creatorcontrib>Stolz, Günter</creatorcontrib><title>Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems</title><title>Letters in mathematical physics</title><addtitle>Lett Math Phys</addtitle><description>We provide an analytic method for estimating the entanglement of the non-Gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of the eigenstates of the oscillator systems to establish bounds for their
ϵ
-Rényi entanglement entropy
ϵ
∈
(
0
,
1
)
. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems.</description><subject>Complex Systems</subject><subject>Eigenvectors</subject><subject>Excitation</subject><subject>Geometry</subject><subject>Group Theory and Generalizations</subject><subject>Harmonic oscillators</subject><subject>Mathematical and Computational Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Theoretical</subject><issn>1573-0530</issn><issn>0377-9017</issn><issn>1573-0530</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEUhYMoWB9_wFXAdfQmmedSSn1AwY1u3IRMHsOUmaRNMmD_vakVdOXqXA7nOxcOQjcU7ihAfR9plpIAKwjQpuKEn6AFLWtOoORw-uc-RxcxbiBDrIQF-li5JF0_msm4hDs_Ox2x9QHH4eAS86mGJNPgHTbOhH6PzdAbF7NnIvYW72bp0jxhH9UwjjId0H1MZopX6MzKMZrrH71E74-rt-UzWb8-vSwf1kQxgERaqaAomkZbqWvWqaLrLC2sbClUVDIJjdSmUYwy4Ibq0qoKCstqybiutNX8Et0ee7fB72YTk9j4Obj8UnAKbUvbooacYseUCj7GYKzYhmGSYS8oiMOG4rihyBuK7w0FzxA_QjGHXW_Cb_U_1BdV5Xaf</recordid><startdate>20240925</startdate><enddate>20240925</enddate><creator>Abdul-Rahman, Houssam</creator><creator>Sims, Robert</creator><creator>Stolz, Günter</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-5796-2476</orcidid></search><sort><creationdate>20240925</creationdate><title>Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems</title><author>Abdul-Rahman, Houssam ; Sims, Robert ; Stolz, Günter</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c200t-9ac04488dfad72bc4bbf14fa91061a2a08ade8c21203e1d5fc604f27a23d6dfd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Complex Systems</topic><topic>Eigenvectors</topic><topic>Excitation</topic><topic>Geometry</topic><topic>Group Theory and Generalizations</topic><topic>Harmonic oscillators</topic><topic>Mathematical and Computational Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Abdul-Rahman, Houssam</creatorcontrib><creatorcontrib>Sims, Robert</creatorcontrib><creatorcontrib>Stolz, Günter</creatorcontrib><collection>CrossRef</collection><jtitle>Letters in mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Abdul-Rahman, Houssam</au><au>Sims, Robert</au><au>Stolz, Günter</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems</atitle><jtitle>Letters in mathematical physics</jtitle><stitle>Lett Math Phys</stitle><date>2024-09-25</date><risdate>2024</risdate><volume>114</volume><issue>5</issue><artnum>116</artnum><issn>1573-0530</issn><issn>0377-9017</issn><eissn>1573-0530</eissn><abstract>We provide an analytic method for estimating the entanglement of the non-Gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of the eigenstates of the oscillator systems to establish bounds for their
ϵ
-Rényi entanglement entropy
ϵ
∈
(
0
,
1
)
. Our methods result in a logarithmically corrected area law for the entanglement of eigenstates, corresponding to one excitation, of the disordered harmonic oscillator systems.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11005-024-01863-3</doi><orcidid>https://orcid.org/0000-0002-5796-2476</orcidid></addata></record> |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Complex Systems Eigenvectors Excitation Geometry Group Theory and Generalizations Harmonic oscillators Mathematical and Computational Physics Physics Physics and Astronomy Theoretical |
| title | Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems |
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