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...

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Vydáno v:Physical review. D Ročník 112; číslo 4
Hlavní autoři: Jha, Raghav G., Roy, Ranadeep
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States American Physical Society (APS) 21.08.2025
ISSN:2470-0010, 2470-0029, 2470-0029
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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
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10.1103/PhysRevLett.126.030602
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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
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JLAB-THY-24-4131; DOE/OR/23177-7578; arXiv:2407.20569
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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
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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...
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Title Sparsity dependence of Krylov state complexity in the SYK model
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