{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T15:56:53Z","timestamp":1769183813545,"version":"3.49.0"},"reference-count":76,"publisher":"American Physical Society (APS)","issue":"3","license":[{"start":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T00:00:00Z","timestamp":1768867200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000271","name":"Science and Technology Facilities Council","doi-asserted-by":"publisher","award":["ST\/X000583\/1"],"award-info":[{"award-number":["ST\/X000583\/1"]}],"id":[{"id":"10.13039\/501100000271","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000271","name":"Science and Technology Facilities Council","doi-asserted-by":"publisher","award":["ST\/X000664\/1"],"award-info":[{"award-number":["ST\/X000664\/1"]}],"id":[{"id":"10.13039\/501100000271","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. Lett."],"accepted":{"date-parts":[[2025,12,8]]},"abstract":"<jats:p>\n                    We numerically construct asymptotically global\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <a:msub>\n                        <a:mi>AdS<\/a:mi>\n                        <a:mn>3<\/a:mn>\n                      <\/a:msub>\n                      <a:mo>\u00d7<\/a:mo>\n                      <a:msup>\n                        <a:mi mathvariant=\"normal\">S<\/a:mi>\n                        <a:mn>3<\/a:mn>\n                      <\/a:msup>\n                      <a:mo>\u00d7<\/a:mo>\n                      <a:msup>\n                        <a:mi mathvariant=\"normal\">T<\/a:mi>\n                        <a:mn>4<\/a:mn>\n                      <\/a:msup>\n                    <\/a:math>\n                    black holes in type IIB supergravity, with\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <e:msub>\n                        <e:mi mathvariant=\"double-struck\">R<\/e:mi>\n                        <e:mi>t<\/e:mi>\n                      <\/e:msub>\n                      <e:mo>\u00d7<\/e:mo>\n                      <e:mrow>\n                        <e:mi>SO<\/e:mi>\n                      <\/e:mrow>\n                      <e:mo stretchy=\"false\">(<\/e:mo>\n                      <e:mn>2<\/e:mn>\n                      <e:mo stretchy=\"false\">)<\/e:mo>\n                      <e:mo>\u00d7<\/e:mo>\n                      <e:mrow>\n                        <e:mi>SO<\/e:mi>\n                      <\/e:mrow>\n                      <e:mo stretchy=\"false\">(<\/e:mo>\n                      <e:mn>3<\/e:mn>\n                      <e:mo stretchy=\"false\">)<\/e:mo>\n                      <e:mo>\u00d7<\/e:mo>\n                      <e:mi mathvariant=\"normal\">U<\/e:mi>\n                      <e:mo stretchy=\"false\">(<\/e:mo>\n                      <e:mn>1<\/e:mn>\n                      <e:msup>\n                        <e:mo stretchy=\"false\">)<\/e:mo>\n                        <e:mn>4<\/e:mn>\n                      <\/e:msup>\n                    <\/e:math>\n                    symmetry, localized on the\n                    <o:math xmlns:o=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <o:msup>\n                        <o:mi mathvariant=\"normal\">S<\/o:mi>\n                        <o:mn>3<\/o:mn>\n                      <\/o:msup>\n                    <\/o:math>\n                    and translationally invariant along the torus. These solutions, with horizons whose spatial cross sections have\n                    <r:math xmlns:r=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <r:msup>\n                        <r:mi mathvariant=\"normal\">S<\/r:mi>\n                        <r:mn>4<\/r:mn>\n                      <\/r:msup>\n                      <r:mo>\u00d7<\/r:mo>\n                      <r:msup>\n                        <r:mi mathvariant=\"normal\">T<\/r:mi>\n                        <r:mn>4<\/r:mn>\n                      <\/r:msup>\n                    <\/r:math>\n                    topology, dominate the microcanonical ensemble at low energies. At higher energies, a first-order phase transition occurs to\n                    <v:math xmlns:v=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <v:mi>BTZ<\/v:mi>\n                      <v:mo>\u00d7<\/v:mo>\n                      <v:msup>\n                        <v:mi mathvariant=\"normal\">S<\/v:mi>\n                        <v:mn>3<\/v:mn>\n                      <\/v:msup>\n                      <v:mo>\u00d7<\/v:mo>\n                      <v:msup>\n                        <v:mi mathvariant=\"normal\">T<\/v:mi>\n                        <v:mn>4<\/v:mn>\n                      <\/v:msup>\n                    <\/v:math>\n                    black holes\u2014possessing\n                    <z:math xmlns:z=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <z:msub>\n                        <z:mi mathvariant=\"double-struck\">R<\/z:mi>\n                        <z:mi>t<\/z:mi>\n                      <\/z:msub>\n                      <z:mo>\u00d7<\/z:mo>\n                      <z:mrow>\n                        <z:mi>SO<\/z:mi>\n                      <\/z:mrow>\n                      <z:mo stretchy=\"false\">(<\/z:mo>\n                      <z:mn>2<\/z:mn>\n                      <z:mo stretchy=\"false\">)<\/z:mo>\n                      <z:mo>\u00d7<\/z:mo>\n                      <z:mrow>\n                        <z:mi>SO<\/z:mi>\n                      <\/z:mrow>\n                      <z:mo stretchy=\"false\">(<\/z:mo>\n                      <z:mn>4<\/z:mn>\n                      <z:mo stretchy=\"false\">)<\/z:mo>\n                      <z:mo>\u00d7<\/z:mo>\n                      <z:mi mathvariant=\"normal\">U<\/z:mi>\n                      <z:mo stretchy=\"false\">(<\/z:mo>\n                      <z:mn>1<\/z:mn>\n                      <z:msup>\n                        <z:mo stretchy=\"false\">)<\/z:mo>\n                        <z:mn>4<\/z:mn>\n                      <\/z:msup>\n                    <\/z:math>\n                    symmetry and\n                    <jb:math xmlns:jb=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <jb:msup>\n                        <jb:mi mathvariant=\"normal\">S<\/jb:mi>\n                        <jb:mn>1<\/jb:mn>\n                      <\/jb:msup>\n                      <jb:mo>\u00d7<\/jb:mo>\n                      <jb:msup>\n                        <jb:mi mathvariant=\"normal\">S<\/jb:mi>\n                        <jb:mn>3<\/jb:mn>\n                      <\/jb:msup>\n                      <jb:mo>\u00d7<\/jb:mo>\n                      <jb:msup>\n                        <jb:mi mathvariant=\"normal\">T<\/jb:mi>\n                        <jb:mn>4<\/jb:mn>\n                      <\/jb:msup>\n                    <\/jb:math>\n                    horizon topology. By the AdS\/CFT correspondence, this transition reflects the spontaneous breaking of the SO(4)\n                    <ob:math xmlns:ob=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <ob:mi>R<\/ob:mi>\n                    <\/ob:math>\n                    symmetry of the\n                    <qb:math xmlns:qb=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <qb:mrow>\n                        <qb:mi>D<\/qb:mi>\n                        <qb:mn>1<\/qb:mn>\n                        <qb:mtext>\u2212<\/qb:mtext>\n                        <qb:mi>D<\/qb:mi>\n                        <qb:mn>5<\/qb:mn>\n                      <\/qb:mrow>\n                    <\/qb:math>\n                    <sb:math xmlns:sb=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <sb:mrow>\n                        <sb:msub>\n                          <sb:mrow>\n                            <sb:mi>CFT<\/sb:mi>\n                          <\/sb:mrow>\n                          <sb:mrow>\n                            <sb:mn>2<\/sb:mn>\n                          <\/sb:mrow>\n                        <\/sb:msub>\n                      <\/sb:mrow>\n                    <\/sb:math>\n                    to SO(3). We also compute the expectation value of the scalar operator with lowest conformal dimension in the low-energy phase. Our SO(3)-localized black holes\u2014together with the\n                    <ub:math xmlns:ub=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <ub:mrow>\n                        <ub:mi mathvariant=\"normal\">U<\/ub:mi>\n                        <ub:mo stretchy=\"false\">(<\/ub:mo>\n                        <ub:mn>1<\/ub:mn>\n                        <ub:msup>\n                          <ub:mrow>\n                            <ub:mo stretchy=\"false\">)<\/ub:mo>\n                          <\/ub:mrow>\n                          <ub:mn>2<\/ub:mn>\n                        <\/ub:msup>\n                      <\/ub:mrow>\n                    <\/ub:math>\n                    -localized solutions of Bena  [.]\u2014point to a rich landscape of novel black holes that may approach the\n                    <zb:math xmlns:zb=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <zb:msub>\n                        <zb:mi>CFT<\/zb:mi>\n                        <zb:mn>2<\/zb:mn>\n                      <\/zb:msub>\n                    <\/zb:math>\n                    \u201csparseness bootstrap condition,\u201d and shed light on how macroscopic entanglement in thermal phases encodes microscopic structure via internal directions.\n                  <\/jats:p>","DOI":"10.1103\/f2rs-p1mq","type":"journal-article","created":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T16:17:17Z","timestamp":1765210637000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Localized\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <mml:mrow>\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mrow>\n                              <mml:mi>AdS<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mrow>\n                              <mml:mn>3<\/mml:mn>\n                            <\/mml:mrow>\n                          <\/mml:msub>\n                          <mml:mo>\u00d7<\/mml:mo>\n                        <\/mml:mrow>\n                        <mml:msup>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"normal\">S<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mn>3<\/mml:mn>\n                          <\/mml:mrow>\n                        <\/mml:msup>\n                        <mml:mo>\u00d7<\/mml:mo>\n                        <mml:mtext>\u2009<\/mml:mtext>\n                        <mml:msup>\n                          <mml:mrow>\n                            <mml:mi mathvariant=\"normal\">T<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mn>4<\/mml:mn>\n                          <\/mml:mrow>\n                        <\/mml:msup>\n                      <\/mml:mrow>\n                    <\/mml:math>\n                    Black Holes"],"prefix":"10.1103","volume":"136","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4855-4750","authenticated-orcid":true,"given":"\u00d3scar J.\u2009C.","family":"Dias","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01ryk1543","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Southampton"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4199-4190","authenticated-orcid":true,"given":"Jorge E.","family":"Santos","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/013meh722","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Cambridge"}]}],"member":"16","published-online":{"date-parts":[[2026,1,20]]},"reference":[{"key":"f2rs-p1mqCc1R1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026654312961","type":"journal-article"},{"key":"f2rs-p1mqCc1R2","doi-asserted-by":"publisher","DOI":"10.4310\/ATMP.1998.v2.n2.a1","type":"journal-article"},{"key":"f2rs-p1mqCc2R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-2693(98)00377-3","type":"journal-article"},{"key":"f2rs-p1mqCc3R1","doi-asserted-by":"publisher","DOI":"10.4310\/ATMP.1998.v2.n2.a2","type":"journal-article"},{"key":"f2rs-p1mqCc4R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(02)00271-5","type":"journal-article"},{"key":"f2rs-p1mqCc5R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP02(2020)136","type":"journal-article"},{"key":"f2rs-p1mqCc6R1","unstructured":"We consider the low-energy limit with N\u2192\u221e and large \u2019t Hooft coupling.","type":"other"},{"key":"f2rs-p1mqCc7R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP10(2025)165","type":"journal-article"},{"key":"f2rs-p1mqCc8R1","unstructured":"These solutions were first constructed in [9], and were recently analyzed in [10].","type":"other"},{"key":"f2rs-p1mqCc9R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP02(2023)133","type":"journal-article"},{"key":"f2rs-p1mqCc10R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP12(2025)049","type":"journal-article"},{"key":"f2rs-p1mqCc11R1","unstructured":"Although the topology is the same in both cases, the geometry of the S3 differs significantly. For the BTZ black hole, the S3 is simply the standard round sphere, whereas for the black poles the S3 incorporates the asymptotic S1 contained within global AdS3.","type":"other"},{"key":"f2rs-p1mqCc12R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP04(2015)060","type":"journal-article"},{"key":"f2rs-p1mqCc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.117.151101","type":"journal-article"},{"key":"f2rs-p1mqCc14R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP06(2017)029","type":"journal-article"},{"key":"f2rs-p1mqCc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/wws8-m34w","type":"journal-article"},{"key":"f2rs-p1mqCc16R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.2837","type":"journal-article"},{"key":"f2rs-p1mqCc17R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2002\/05\/032","type":"journal-article"},{"key":"f2rs-p1mqCc18R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2005\/10\/049","type":"journal-article"},{"key":"f2rs-p1mqCc19R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.94.161102","type":"journal-article"},{"key":"f2rs-p1mqCc20R1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/24\/8\/R01","type":"journal-article"},{"key":"f2rs-p1mqCc21R1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/27\/3\/035002","type":"journal-article"},{"key":"f2rs-p1mqCc22R1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/33\/13\/133001","type":"journal-article"},{"key":"f2rs-p1mqCc23R1","unstructured":"S.\u2009G. Avery, Ph.D. thesis, The Ohio State University, 2010.","type":"other"},{"key":"f2rs-p1mqCc24R1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/28\/21\/215018","type":"journal-article"},{"key":"f2rs-p1mqCc25R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/f2rs-p1mq for details of the equations of motion, boundary conditions, numerical method, thermodynamic quantities and additional figures.","type":"other"},{"key":"f2rs-p1mqCc26R1","unstructured":"Our reference metric limits \u03c10&lt;\u03c0, but our solutions are well within this bound.","type":"other"},{"key":"f2rs-p1mqCc27R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2007\/04\/023","type":"journal-article"},{"key":"f2rs-p1mqCc28R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2007\/06\/056","type":"journal-article"},{"key":"f2rs-p1mqCc29R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2006\/05\/057","type":"journal-article"},{"key":"f2rs-p1mqCc30R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.32.389","type":"journal-article"},{"key":"f2rs-p1mqCc31R1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/2\/2\/001","type":"journal-article"},{"key":"f2rs-p1mqCc32R1","doi-asserted-by":"publisher","DOI":"10.4310\/ATMP.1998.v2.n4.a1","type":"journal-article"},{"key":"f2rs-p1mqCc33R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0550-3213(99)00614-8","type":"journal-article"},{"key":"f2rs-p1mqCc34R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.61.064009","type":"journal-article"},{"key":"f2rs-p1mqCc35R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2006\/08\/001","type":"journal-article"},{"key":"f2rs-p1mqCc36R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2007\/09\/019","type":"journal-article"},{"key":"f2rs-p1mqCc37R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.48.R3427","type":"journal-article"},{"key":"f2rs-p1mqCc38R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.50.846","type":"journal-article"},{"key":"f2rs-p1mqCc39R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.52.4430","type":"journal-article"},{"key":"f2rs-p1mqCc40R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.61.084027","type":"journal-article"},{"key":"f2rs-p1mqCc41R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2005\/08\/004","type":"journal-article"},{"key":"f2rs-p1mqCc42R1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6382\/abc136","type":"journal-article"},{"key":"f2rs-p1mqCc43R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2002\/05\/027","type":"journal-article"},{"key":"f2rs-p1mqCc44R1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/32\/14\/145003","type":"journal-article"},{"key":"f2rs-p1mqCc45R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP07(2017)135","type":"journal-article"},{"key":"f2rs-p1mqCc46R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01208266","type":"journal-article"},{"key":"f2rs-p1mqCc47R1","doi-asserted-by":"publisher","DOI":"10.4310\/ATMP.1998.v2.n3.a3","type":"journal-article"},{"key":"f2rs-p1mqCc48R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2007\/12\/104","type":"journal-article"},{"key":"f2rs-p1mqCc49R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.100.021601","type":"journal-article"},{"key":"f2rs-p1mqCc50R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.78.041502","type":"journal-article"},{"key":"f2rs-p1mqCc51R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.102.191602","type":"journal-article"},{"key":"f2rs-p1mqCc52R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP04(2010)077","type":"journal-article"},{"key":"f2rs-p1mqCc53R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP12(2011)020","type":"journal-article"},{"key":"f2rs-p1mqCc54R1","doi-asserted-by":"publisher","DOI":"10.1126\/science.1250122","type":"journal-article"},{"key":"f2rs-p1mqCc55R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.68.9","type":"journal-article"},{"key":"f2rs-p1mqCc56R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.211","type":"journal-article"},{"key":"f2rs-p1mqCc57R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.64.056101","type":"journal-article"},{"key":"f2rs-p1mqCc58R1","volume-title":"Workshop on Conference on the Future of Theoretical Physics and Cosmology in Honor of Steven Hawking\u2019s 60th Birthday","author":"G.\u2009T. Horowitz","year":"2002","type":"conference-proceedings"},{"key":"f2rs-p1mqCc59R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.nuclphysb.2004.02.022","type":"journal-article"},{"key":"f2rs-p1mqCc60R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.69.104015","type":"journal-article"},{"key":"f2rs-p1mqCc61R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.76.104025","type":"journal-article"},{"key":"f2rs-p1mqCc62R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP09(2014)118","type":"journal-article"},{"key":"f2rs-p1mqCc63R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP05(2018)111","type":"journal-article"},{"key":"f2rs-p1mqCc64R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.181602","type":"journal-article"},{"key":"f2rs-p1mqCc65R1","doi-asserted-by":"publisher","DOI":"10.1088\/1126-6708\/2007\/07\/062","type":"journal-article"},{"key":"f2rs-p1mqCc66R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP01(2015)048","type":"journal-article"},{"key":"f2rs-p1mqCc67R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP10(2024)119","type":"journal-article"},{"key":"f2rs-p1mqCc68R1","doi-asserted-by":"publisher","DOI":"10.21468\/SciPostPhys.16.6.152","type":"journal-article"},{"key":"f2rs-p1mqCc69R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.50.888","type":"journal-article"},{"key":"f2rs-p1mqCc70R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.43.2046","type":"journal-article"},{"key":"f2rs-p1mqCc71R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature24622","type":"journal-article"},{"key":"f2rs-p1mqCc72R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-018-0137-5","type":"journal-article"},{"key":"f2rs-p1mqCc73R1","doi-asserted-by":"publisher","DOI":"10.1016\/0370-2693(96)00345-0","type":"journal-article"},{"key":"f2rs-p1mqCc74R1","doi-asserted-by":"publisher","DOI":"10.1002\/prop.200410203","type":"journal-article"},{"key":"f2rs-p1mqCc75R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2008.08.001","type":"journal-article"}],"container-title":["Physical Review Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/f2rs-p1mq","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/f2rs-p1mq\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T14:31:02Z","timestamp":1769178662000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/f2rs-p1mq"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,20]]},"references-count":76,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,1]]}},"URL":"https:\/\/doi.org\/10.1103\/f2rs-p1mq","relation":{"has-preprint":[{"id-type":"doi","id":"10.48550\/arXiv.2508.16722","asserted-by":"subject"}]},"ISSN":["0031-9007","1079-7114"],"issn-type":[{"value":"0031-9007","type":"print"},{"value":"1079-7114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,20]]},"assertion":[{"value":"2025-09-22","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"031501"}}