Sparsity dependence of Krylov state complexity in the SYK model

We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for N ≤ 28 Majorana fermions with q -body fermion interaction with q = 4 , 6, 8 for a range of sparse parameter k that controls the number of remaining terms in the original SYK model after sparsification. The critical value o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review. D Jg. 112; H. 4
Hauptverfasser: Jha, Raghav G., Roy, Ranadeep
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States American Physical Society (APS) 21.08.2025
ISSN:2470-0010, 2470-0029, 2470-0029
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for N ≤ 28 Majorana fermions with q -body fermion interaction with q = 4 , 6, 8 for a range of sparse parameter k that controls the number of remaining terms in the original SYK model after sparsification. The critical value of k below which the model ceases to be holographic, denoted k c , has been subject of several recent investigations. Using Krylov complexity as a probe, we find that the peak value of complexity does not change as we increase k beyond k ≥ k min at large temperatures. We argue that this behavior is related to the change in the holographic nature of the Hamiltonian in the sparse SYK-type models such that the model is holographic for all k ≥ k min ≈ k c . Our results provide a novel way to determine k c in SYK-type models.
AbstractList We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for N≤28 Majorana fermions with q-body fermion interaction with q=4, 6, 8 for a range of sparse parameter k that controls the number of remaining terms in the original SYK model after sparsification. The critical value of k below which the model ceases to be holographic, denoted kc, has been subject of several recent investigations. Using Krylov complexity as a probe, we find that the peak value of complexity does not change as we increase k beyond k≥kmin at large temperatures. We argue that this behavior is related to the change in the holographic nature of the Hamiltonian in the sparse SYK-type models such that the model is holographic for all k≥kmin≈kc. Our results provide a novel way to determine kc in SYK-type models.
We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for N ≤ 28 Majorana fermions with q -body fermion interaction with q = 4 , 6, 8 for a range of sparse parameter k that controls the number of remaining terms in the original SYK model after sparsification. The critical value of k below which the model ceases to be holographic, denoted k c , has been subject of several recent investigations. Using Krylov complexity as a probe, we find that the peak value of complexity does not change as we increase k beyond k ≥ k min at large temperatures. We argue that this behavior is related to the change in the holographic nature of the Hamiltonian in the sparse SYK-type models such that the model is holographic for all k ≥ k min ≈ k c . Our results provide a novel way to determine k c in SYK-type models.
ArticleNumber 046017
Author Jha, Raghav G.
Roy, Ranadeep
Author_xml – sequence: 1
  givenname: Raghav G.
  orcidid: 0000-0003-2933-0102
  surname: Jha
  fullname: Jha, Raghav G.
– sequence: 2
  givenname: Ranadeep
  orcidid: 0009-0003-5903-3544
  surname: Roy
  fullname: Roy, Ranadeep
BackLink https://www.osti.gov/servlets/purl/2584657$$D View this record in Osti.gov
BookMark eNptkL1OwzAYRS0EEqV04A0sNoZQ_yR1PCFU8adWYigMTJH7-QsNJHaILUTenkRFDIjp3uHcO5wTcui8Q0LOOLvknMn5R-jfk0aG1wMyEaliCWNCH_52zo7JLIQ3NtQF04rzCbnatKYLVeypxRadRQdIfUlXXV_7TxqiiUjBN22NXyNVORp3SDcvK9p4i_UpOSpNHXD2k1PyfHvztLxP1o93D8vrdQJCy5iUKZZbUYIyQmgrc6mVRoDcgsnVVkGWgZKLbc5QWEhBaZZJzQFNao1Ai3JKzve_PsSqCFBFhB145xBiIbI8XWRqgC72EHQ-hA7Lou2qxnR9wVkxGipGQ8VoaGDnf9jh08TKu9iZqv5n8Q1CIG3h
CitedBy_id crossref_primary_10_1007_JHEP09_2025_039
Cites_doi 10.1103/PhysRevD.94.106002
10.1103/PhysRevLett.126.030602
10.1103/PhysRevD.109.105002
10.1103/PhysRevX.12.011006
10.1103/PhysRevB.111.L060202
10.1007/978-3-030-45109-7
10.1016/j.nuclphysb.2025.116815
10.1103/PhysRevB.111.L060201
10.1007/JHEP06(2021)062
10.1007/JHEP10(2017)107
10.1090/S0025-5718-1984-0725988-X
10.1007/JHEP09(2018)002
10.1103/PhysRevB.111.035141
10.1103/PhysRevResearch.7.023028
10.5281/zenodo.13119591
10.1007/JHEP07(2022)151
10.1007/BF01608499
10.26421/QIC8.10-1
10.1103/PhysRevLett.133.091602
10.1007/JHEP08(2024)241
10.1090/S0025-5718-1979-0514820-3
10.1007/JHEP02(2025)173
10.1007/JHEP10(2019)264
10.1103/PhysRevA.110.022446
10.1007/BF01325284
10.1007/JHEP05(2017)118
10.1038/s41467-025-59716-z
10.1103/PhysRevLett.70.3339
10.1063/1.522979
10.1103/PhysRevD.106.046007
10.1103/PhysRevD.103.106002
10.1103/PhysRevD.109.046017
10.1007/JHEP03(2023)054
10.1103/PhysRevX.9.041017
10.1103/PhysRevB.110.064320
ContentType Journal Article
CorporateAuthor Thomas Jefferson National Accelerator Facility (TJNAF)
CorporateAuthor_xml – name: Thomas Jefferson National Accelerator Facility (TJNAF)
DBID AAYXX
CITATION
OIOZB
OTOTI
DOI 10.1103/qsyk-m3sg
DatabaseName CrossRef
OSTI.GOV - Hybrid
OSTI.GOV
DatabaseTitle CrossRef
DatabaseTitleList
CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2470-0029
ExternalDocumentID 2584657
10_1103_qsyk_m3sg
GroupedDBID 3MX
5VS
AAYXX
ABSSX
AECSF
AEQTI
AFGMR
AGDNE
ALMA_UNASSIGNED_HOLDINGS
AUAIK
CITATION
EBS
EJD
ER.
NPBMV
ROL
S7W
OIOZB
OTOTI
ID FETCH-LOGICAL-c293t-f4efb2fc7a229d383979ecc8dca87b7c55c736b80e2dc4c7905391cea4da2ede3
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001561621400004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2470-0010
2470-0029
IngestDate Mon Sep 01 02:23:05 EDT 2025
Sat Nov 29 07:35:44 EST 2025
Tue Nov 18 20:57:50 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 4
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c293t-f4efb2fc7a229d383979ecc8dca87b7c55c736b80e2dc4c7905391cea4da2ede3
Notes U.S. Department of Energy
JLAB-THY-24-4131; DOE/OR/23177-7578; arXiv:2407.20569
Office of Science
Co-design Center for Quantum Advantage
AC05-06OR23177; SC0012704
National Quantum Information Science Research Centers
ORCID 0000-0003-2933-0102
0009-0003-5903-3544
0000000329330102
0009000359033544
OpenAccessLink https://www.osti.gov/servlets/purl/2584657
ParticipantIDs osti_scitechconnect_2584657
crossref_primary_10_1103_qsyk_m3sg
crossref_citationtrail_10_1103_qsyk_m3sg
PublicationCentury 2000
PublicationDate 2025-08-21
PublicationDateYYYYMMDD 2025-08-21
PublicationDate_xml – month: 08
  year: 2025
  text: 2025-08-21
  day: 21
PublicationDecade 2020
PublicationPlace United States
PublicationPlace_xml – name: United States
PublicationTitle Physical review. D
PublicationYear 2025
Publisher American Physical Society (APS)
Publisher_xml – name: American Physical Society (APS)
References qsyk-m3sgCc30R1
qsyk-m3sgCc5R1
qsyk-m3sgCc4R1
qsyk-m3sgCc7R1
qsyk-m3sgCc6R1
qsyk-m3sgCc17R1
qsyk-m3sgCc18R1
qsyk-m3sgCc39R1
qsyk-m3sgCc19R1
qsyk-m3sgCc13R1
qsyk-m3sgCc36R1
qsyk-m3sgCc14R1
qsyk-m3sgCc35R1
qsyk-m3sgCc15R1
qsyk-m3sgCc38R1
qsyk-m3sgCc37R1
L. Susskind (qsyk-m3sgCc16R1) 2020
qsyk-m3sgCc32R1
qsyk-m3sgCc10R1
qsyk-m3sgCc31R1
qsyk-m3sgCc11R1
qsyk-m3sgCc34R1
qsyk-m3sgCc12R1
qsyk-m3sgCc33R1
qsyk-m3sgCc28R1
qsyk-m3sgCc29R1
qsyk-m3sgCc1R1
qsyk-m3sgCc25R1
qsyk-m3sgCc3R1
qsyk-m3sgCc26R1
qsyk-m3sgCc2R1
qsyk-m3sgCc27R1
qsyk-m3sgCc20R1
qsyk-m3sgCc20R2
qsyk-m3sgCc21R1
qsyk-m3sgCc22R1
qsyk-m3sgCc23R1
References_xml – ident: qsyk-m3sgCc3R1
  doi: 10.1103/PhysRevD.94.106002
– ident: qsyk-m3sgCc4R1
  doi: 10.1103/PhysRevLett.126.030602
– ident: qsyk-m3sgCc6R1
  doi: 10.1103/PhysRevD.109.105002
– ident: qsyk-m3sgCc27R1
  doi: 10.1103/PhysRevX.12.011006
– ident: qsyk-m3sgCc31R1
  doi: 10.1103/PhysRevB.111.L060202
– volume-title: Three Lectures on Complexity and Black Holes
  year: 2020
  ident: qsyk-m3sgCc16R1
  doi: 10.1007/978-3-030-45109-7
– ident: qsyk-m3sgCc7R1
  doi: 10.1016/j.nuclphysb.2025.116815
– ident: qsyk-m3sgCc13R1
  doi: 10.1103/PhysRevB.111.L060201
– ident: qsyk-m3sgCc18R1
  doi: 10.1007/JHEP06(2021)062
– ident: qsyk-m3sgCc23R1
  doi: 10.1007/JHEP10(2017)107
– ident: qsyk-m3sgCc39R1
  doi: 10.1090/S0025-5718-1984-0725988-X
– ident: qsyk-m3sgCc20R2
  doi: 10.1007/JHEP09(2018)002
– ident: qsyk-m3sgCc32R1
  doi: 10.1103/PhysRevB.111.035141
– ident: qsyk-m3sgCc21R1
  doi: 10.1103/PhysRevResearch.7.023028
– ident: qsyk-m3sgCc30R1
  doi: 10.5281/zenodo.13119591
– ident: qsyk-m3sgCc28R1
  doi: 10.1007/JHEP07(2022)151
– ident: qsyk-m3sgCc35R1
  doi: 10.1007/BF01608499
– ident: qsyk-m3sgCc22R1
  doi: 10.26421/QIC8.10-1
– ident: qsyk-m3sgCc5R1
  doi: 10.1103/PhysRevLett.133.091602
– ident: qsyk-m3sgCc15R1
  doi: 10.1007/JHEP08(2024)241
– ident: qsyk-m3sgCc38R1
  doi: 10.1090/S0025-5718-1979-0514820-3
– ident: qsyk-m3sgCc11R1
  doi: 10.1007/JHEP02(2025)173
– ident: qsyk-m3sgCc17R1
  doi: 10.1007/JHEP10(2019)264
– ident: qsyk-m3sgCc33R1
  doi: 10.1103/PhysRevA.110.022446
– ident: qsyk-m3sgCc25R1
  doi: 10.1007/BF01325284
– ident: qsyk-m3sgCc20R1
  doi: 10.1007/JHEP05(2017)118
– ident: qsyk-m3sgCc29R1
  doi: 10.1038/s41467-025-59716-z
– ident: qsyk-m3sgCc1R1
  doi: 10.1103/PhysRevLett.70.3339
– ident: qsyk-m3sgCc34R1
  doi: 10.1063/1.522979
– ident: qsyk-m3sgCc2R1
– ident: qsyk-m3sgCc12R1
  doi: 10.1103/PhysRevD.106.046007
– ident: qsyk-m3sgCc37R1
– ident: qsyk-m3sgCc10R1
  doi: 10.1103/PhysRevD.103.106002
– ident: qsyk-m3sgCc14R1
  doi: 10.1103/PhysRevD.109.046017
– ident: qsyk-m3sgCc36R1
  doi: 10.1007/JHEP03(2023)054
– ident: qsyk-m3sgCc19R1
  doi: 10.1103/PhysRevX.9.041017
– ident: qsyk-m3sgCc26R1
  doi: 10.1103/PhysRevB.110.064320
SSID ssj0001609711
Score 2.4933138
Snippet We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for N ≤ 28 Majorana fermions with q -body fermion interaction with q = 4 , 6, 8 for a...
We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for N≤28 Majorana fermions with q-body fermion interaction with q=4, 6, 8 for a range...
SourceID osti
crossref
SourceType Open Access Repository
Enrichment Source
Index Database
Title Sparsity dependence of Krylov state complexity in the SYK model
URI https://www.osti.gov/servlets/purl/2584657
Volume 112
WOSCitedRecordID wos001561621400004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIAO
  databaseName: SCOAP3 Journals
  customDbUrl:
  eissn: 2470-0029
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0001609711
  issn: 2470-0010
  databaseCode: ER.
  dateStart: 20180101
  isFulltext: true
  titleUrlDefault: https://scoap3.org/
  providerName: SCOAP3 (Sponsoring Consortium for Open Access Publishing in Particle Physics)
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1ba9swFBZrtkJfxm5lbbchxh4GxakjXyQ9lrELK5TQdNA9GUmW27LNSeM0ZP9-50jyZVDG9rAXY2RFifU5x985-nQOIW_A6AumEhlVWsdRmpss0jGcybjKY8Gl4rlxxSb46am4uJDTUIWvceUEeF2LzUYu_ivU0AZg49bZf4C7GxQa4BxAhyPADse_An62UF5o0da3NS4scLIE13x96DYQeSG53WCvoHOcfT3xVXGGbHXagug3uIx7efBnv050pi6v1Prw47hft_GgoZTM2sUwpsAyDJKygT6jXSzqvqaVkALrPZ7O2iCFM1MsxdI1cWhqbeqEDR6e9G5bHWPOiJvm57foR9Jc9i-kTibIkB1lfIvcZzyTzi04G_cRtBzzX6FH3f2EkDoKRj7qxv2NcIzmYDgHBOL8EXkYmD899og9Jvds_YRs-3tvnoLXFHCjPW50XlGPG3W40R43el1TwI0CbtTh9ox8-fD-_N2nKFS3iAxQrFVUpbbSrDJcMSbLROACK_yfRGmU4JqbLDM8ybWILStNajCRWiInxqq0VMyWNtklo3pe2-eEapnDRyWQ7TJNE630RGqgkkKYyopcVnvkbTsFhQmp37ECyffCuYBxUuBsFThbe-R113Xh853c1ekA57EAkoaZhg1KssyqCHDt__HqAdnpn7gXZLRa3tqX5IFZr66b5SuH8C9ufFWk
linkProvider SCOAP3 (Sponsoring Consortium for Open Access Publishing in Particle Physics)
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Sparsity+dependence+of+Krylov+state+complexity+in+the+SYK+model&rft.jtitle=Physical+review.+D&rft.au=Jha%2C+Raghav+G.&rft.au=Roy%2C+Ranadeep&rft.date=2025-08-21&rft.pub=American+Physical+Society+%28APS%29&rft.issn=2470-0029&rft.volume=112&rft.issue=4&rft_id=info:doi/10.1103%2Fqsyk-m3sg&rft.externalDocID=2584657
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2470-0010&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2470-0010&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2470-0010&client=summon