Wormhole-induced effective coupling in SYK chains
arXiv:2410.23397 · doi:10.1007/JHEP02(2025)142
Abstract
Inhomogeneous quantum chains have recently been considered in the context of developing novel discrete realizations of holographic dualities. To advance this programme, we explore the ground states of infinite chains with large number of Majorana fermions on each site, which interact via on-site -body Sachdev-Ye-Kitaev (SYK) couplings, as well as via additional inhomogeneous hopping terms between nearest-neighbour sites. The hopping parameters are either aperiodically or randomly distributed. Our approach unifies techniques to solve SYK-like models in the large limit with a real-space renormalization group method known as strong-disorder renormalization group (SDRG). We show that the SDRG decimation of SYK dots linked by a strong hopping induces an effective hopping interaction between their neighbouring sites. If two decimated sites are nearest neighbours, in the large limit their local ground states admit a holographic dual description in terms of eternal traversable wormholes. At the end of the SDRG procedure, we obtain a factorised ground state of the infinite inhomogeneous SYK chains that we consider, which has a spacetime description involving a sequence of wormholes. This amounts to a local near-boundary description of the bulk geometry in the context of discrete holography.
81 pages, 7 figures, refs added, acknowledgment updated, published version in JHEP
References in corpus (75)
- Comments on the Sachdev-Ye-Kitaev model
- An Investigation of AdS Backreaction and Holography
- Traversable Wormholes via a Double Trace Deformation
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- Fermionic Localization of the Schwarzian Theory
- Diving into traversable wormholes
- An Algebra of Observables for de Sitter Space
- Hyperbolic Lattices in Circuit Quantum Electrodynamics
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- AdS holography and the SYK model
- Gravity and the Crossed Product
- Large N algebras and generalized entropy
- Theory of a Planckian metal
- Simulating hyperbolic space on a circuit board
- Crystallography of Hyperbolic Lattices
- Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
- Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry
- Hyperbolic band theory
- Strong Disorder RG approach - a short review of recent developments
- Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
- Magnetotransport in a model of a disordered strange metal
- Hyperbolic Fracton Model, Subsystem Symmetry, and Holography
- Automorphic Bloch theorems for hyperbolic lattices
- Hyperbolic Matter in Electrical Circuits with Tunable Complex Phases
- -adic AdS/CFT
- Dispersive SYK model: band structure and quantum chaos
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models
- Entanglement entropy of aperiodic quantum spin chains
- Universality of Hofstadter butterflies on hyperbolic lattices
- Edge length dynamics on graphs with applications to -adic AdS/CFT
- Restoring Unitarity in BTZ Black Hole
- Holography on tessellations of hyperbolic space
- Coherent superconductivity with large gap ratio from incoherent metals
- Lattice Setup for Quantum Field Theory in AdS
- Low-energy properties of aperiodic quantum spin chains
- Conformal Quasicrystals and Holography
- Quantum criticality of granular SYK matter
- -linear resistivity in models with local self-energy
- Non-Abelian hyperbolic band theory from supercells
- Symmetry and topology of hyperbolic Haldane models
- Selberg trace formula in hyperbolic band theory
- Quantum criticality and duality in the SYK/AdS chain
- Towards Explicit Discrete Holography: Aperiodic Spin Chains from Hyperbolic Tilings
- Aperiodic quantum XXZ chains: Renormalization-group results
- Generalized Black Hole Entropy is von Neumann Entropy
- Anderson localization transition in disordered hyperbolic lattices
- Hyperbolic non-Abelian semimetal
- Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
- Central charges of aperiodic holographic tensor network models
- Breitenlohner-Freedman bound on hyperbolic tilings
- Modular discretization of the AdS2/CFT1 Holography
- Lorentzian AdS, Wormholes and Holography
- Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model
- Entanglement entropy in aperiodic singlet phases
- Aperiodic spin chains at the boundary of hyperbolic tilings
- Emergent Einstein Equation in p-adic CFT Tensor Networks
- Hyperbolic Lattice for Scalar Field Theory in AdS
- Multi-mouth Traversable Wormholes
- Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
- Topological linear response of hyperbolic Chern insulators
- Linear-in- resistivity from semiholographic non-Fermi liquid models
- Boundary theories of critical matchgate tensor networks
- Holographic tensor networks from hyperbolic buildings
- Explicit large von Neumann algebras from matrix models
- Bending the Bruhat-Tits Tree I:Tensor Network and Emergent Einstein Equations
- Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
- Bending the Bruhat-Tits Tree II: the p-adic BTZ Black hole and Local Diffeomorphism on the Bruhat-Tits Tree
- Hyperbolic lattices and two-dimensional Yang-Mills theory
- Entanglement in interacting Majorana chains and transitions of von Neumann algebras
- Eigenmodes of the Laplacian on Hyperbolic Lattices
- Multiway Junction Conditions: Booklets and Webs
- The continuum limit of the modular discretization of AdS