Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.
hub Canonical reference
Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
Canonical reference. 100% of citing Pith papers cite this work as background.
42
Pith papers citing it
Background
100% of classified citations
abstract
We examine the spin-$S$ quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions. The quantum-disordered phase is accessed by generalizing to $SU(M)$ symmetry and studying the large $M$ limit. For large $S$ the ground state is a spin-glass, while quantum fluctuations produce a spin-fluid state for small $S$. The spin-fluid phase is found to be generically gapless - the average, zero temperature, local dynamic spin-susceptibility obeys $\bar{\chi} (\omega ) \sim \log(1/|\omega|) + i (\pi/2) \mbox{sgn} (\omega)$ at low frequencies. This form is identical to the phenomenological `marginal' spectrum proposed by Varma {\em et. al.\/} for the doped cuprates.
hub tools
citation-role summary
background 11
citation-polarity summary
fields
hep-th 31 quant-ph 4 cond-mat.str-el 2 cond-mat.mes-hall 1 cond-mat.stat-mech 1 gr-qc 1 hep-ph 1 math-ph 1roles
background 11polarities
background 11representative citing papers
JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
Defines influence-solvability for (1+1)D circuits via finite-χ uniform MPS influence matrices, derives local necessary and sufficient conditions from the MPS fundamental theorem, and classifies new solvable brickwork circuits for small local dimensions.
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
In the continuum limit the discrete Krylov chain becomes a Klein-Gordon field in AdS2, with Lanczos growth rate α identified as πT, recovering the maximal chaos bound and requiring the Breitenlohner-Freedman bound for consistency.
Projective geometry and Cayley transformations provide a common framework for the free particle-oscillator correspondences via the Schwarzian cocycle.
Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
In a 2d evaporating black hole model, large boosts create O(1/G_N) gradients in bulk entropy that move the quantum extremal surface, causing the generalized entropy to follow unitary expectations with information disappearing after a scrambling time and a phase transition at the Page time.
Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
Holographic spacetime emerges as the 1-Wasserstein space of quantum state distributions under optimal transport, matching AdS2 black hole geometry in the SYK model and identified with generalized Krylov complexity.
In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
The finite-cutoff JT gravity disk amplitude is reproduced via open-channel operators as a boundary-state matrix element, with the geodesic sector shown to be bandlimited and the branch-difference amplitude not equivalent to the thermal trace of any single lower-bounded β-independent Hamiltonian.
The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.
A 2D disordered O(N) sigma model at large N exhibits a low-temperature spin glass phase with finite Edwards-Anderson parameter and approximate scaling in the dynamical two-point function.
New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.
Five-loop perturbative computation of DSSYK Krylov complexity equaling wormhole length in sine-dilaton gravity, with cumulants and all-order large-time resummation.
A general construction of contact interactions from chord diagrams is developed to match AdS2 scalar contact Witten diagrams in the SYK model.
SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.
Scale-invariant open quantum systems are universally described by unparticle baths with scaling dimension d_U, producing non-Markovian kernels, a fractional Caldeira-Leggett master equation, and phase transitions at d_U = 3/2, 2, and 5/2.
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
In the double-scaled SYK model with an end-of-the-world brane, the boundary algebra for a single-sided black hole is a type II1 von Neumann factor with non-trivial commutant, preventing full bulk reconstruction and creating a no man's island behind the horizon.
Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-geometry von Neumann entropy after tracing baby universes.
Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk causal structure.
citing papers explorer
-
Replica wormholes and the black hole interior
Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.
-
Quantum JT Gravity in a box as a P\"oschl-Teller Scattering Problem
JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
-
The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
-
Influence-solvability: a systematic theory of $(1+1)D$ solvability and its application to brickwork circuits
Defines influence-solvability for (1+1)D circuits via finite-χ uniform MPS influence matrices, derives local necessary and sufficient conditions from the MPS fundamental theorem, and classifies new solvable brickwork circuits for small local dimensions.
-
Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas
LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.
-
Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography
In the continuum limit the discrete Krylov chain becomes a Klein-Gordon field in AdS2, with Lanczos growth rate α identified as πT, recovering the maximal chaos bound and requiring the Breitenlohner-Freedman bound for consistency.
-
Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence
Projective geometry and Cayley transformations provide a common framework for the free particle-oscillator correspondences via the Schwarzian cocycle.
-
Probing Evaporating Black Holes with Modular Flow in SYK
Modular flow in SYK models coupled to a bath reveals singularities allowing reconstruction of bulk flow past the horizon in two-sided AdS2 black holes.
-
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
In a 2d evaporating black hole model, large boosts create O(1/G_N) gradients in bulk entropy that move the quantum extremal surface, causing the generalized entropy to follow unitary expectations with information disappearing after a scrambling time and a phase transition at the Page time.
-
Quantum mechanical bootstrap without inequalities: SYK bilinear spectrum
Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
-
Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity
Holographic spacetime emerges as the 1-Wasserstein space of quantum state distributions under optimal transport, matching AdS2 black hole geometry in the SYK model and identified with generalized Krylov complexity.
-
Emergent States and Algebras from the Double-Scaling limit of Pure States in SYK
In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
-
Open-Channel Operator Closure of the Finite-Cutoff JT Gravity Disk Amplitude
The finite-cutoff JT gravity disk amplitude is reproduced via open-channel operators as a boundary-state matrix element, with the geodesic sector shown to be bandlimited and the branch-difference amplitude not equivalent to the thermal trace of any single lower-bounded β-independent Hamiltonian.
-
Thermal two-point functions in SYK and complex-time singularities
The large-N SYK thermal two-point function exhibits complex-time singularities—an effective-temperature pole and a subleading bouncing-geodesic-like singularity—that persist from infinite to zero temperature.
-
The two-dimensional disordered $O(N)$ sigma model
A 2D disordered O(N) sigma model at large N exhibits a low-temperature spin glass phase with finite Edwards-Anderson parameter and approximate scaling in the dynamical two-point function.
-
Additional constraints for the tensor bootstrap
New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.
-
Higher-loop wormhole length in sine-dilaton gravity from DSSYK Krylov complexity
Five-loop perturbative computation of DSSYK Krylov complexity equaling wormhole length in sine-dilaton gravity, with cumulants and all-order large-time resummation.
-
Towards Bulk Locality: A Systematic Construction of Contact Interactions from Chord Diagrams
A general construction of contact interactions from chord diagrams is developed to match AdS2 scalar contact Witten diagrams in the SYK model.
-
Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity
SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.
-
Scale-Invariant Open Quantum Systems
Scale-invariant open quantum systems are universally described by unparticle baths with scaling dimension d_U, producing non-Markovian kernels, a fractional Caldeira-Leggett master equation, and phase transitions at d_U = 3/2, 2, and 5/2.
-
Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
-
Single-Sided Black Holes in Double-Scaled SYK Model and No Man's Island
In the double-scaled SYK model with an end-of-the-world brane, the boundary algebra for a single-sided black hole is a type II1 von Neumann factor with non-trivial commutant, preventing full bulk reconstruction and creating a no man's island behind the horizon.
-
Toward Krylov-based holography in double-scaled SYK
Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-geometry von Neumann entropy after tracing baby universes.
-
Searching for emergent spacetime in spin glasses
Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk causal structure.
-
Cap amplitudes in random matrix models
Introduces cap amplitude ψ(b) in one-matrix models and interprets the dilaton equation for discrete volumes N_{g,n} as boundary gluing that reduces n by one.
-
ASEP/DSSYK duality and strange correlator
Moments of the DSSYK transfer matrix equal an ASEP stationary-product state overlap, presented as analogous to the strange correlator in topological state-sum models.
-
Holographic complexity of de-Sitter black holes
In SdS black hole holography, CV and CV2.0 complexities grow linearly while CA growth vanishes due to finite action, with matching rates between static patch and dS/CFT schemes.
-
Probing the Chaos to Integrability Transition in Double-Scaled SYK
A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-integrable (quadratic) growth.
-
OTOC and Quamtum Chaos of Interacting Scalar Fields
Discretized λφ⁴ theory yields thermal OTOC with exponential growth and Lyapunov exponent scaling as T^{1/4}, showing quantum chaos signatures at low perturbative orders in the oscillator chain.
-
Complexity of Quadratic Quantum Chaos
Hard-core boson two-body models with random interactions exhibit chaotic spectral statistics, operator growth, and eigenstate properties approaching those of random matrices and the SYK model.
-
Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity
Finite cutoff in JT gravity causes faster ERB-length saturation, deformation-dependent baby-universe emission only under Lorentzian evolution, and possible one-cut universality corrections in the matrix dual.
-
Exploring Event Horizons and Hawking Radiation through Deformed Graphene Membranes
Simulations indicate that negative-curvature graphene membranes can form stable analogue horizons whose local density of states exhibits thermal character at a few tens of Kelvin.
-
Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geometry satisfying a non-relativistic JT action.
-
Ground state preparation of random all-to-all Hamiltonians using ADAPT-VQE
TETRIS-ADAPT-VQE achieves fidelities above 99.3% for SYK (N=20) and 99.9998% for SK (L=18) but requires large resources for SYK models.
-
Nielsen complexity with multiple cost factors
Generalizes Nielsen complexity to multiple cost factors, derives modified Euler-Arnold and Jacobi equations, and examines effects on conjugate points in single-qubit and SYK systems.
-
Fractionalized Fermi liquids and the cuprate phase diagram
Reviews the FL* theory for cuprates using ancilla layer models and SU(2) gauge theories to explain pseudogap hole pockets of area p/8, Fermi arcs, and transitions to d-wave superconductivity and Fermi liquid behavior.
-
Lectures on insulating and conducting quantum spin liquids
The notes argue that the FL* state — small pockets plus a quantized spin-liquid anomaly — resolves the ADMR pocket and v_F >> v_Delta problems that defeated holon-metal and plain fermionic-parton theories of the cuprates.
-
Notes on Tensor Models and Tensor Field Theories
Lecture notes introducing the 1/N expansion and melonic limit of tensor models, which yield new conformal field theories.
-
De Sitter Representations
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
-
Quantum chaotic systems: a random-matrix approach
Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.
- Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model
- Large-c BCFT Entanglement Entropy with Deformed Boundaries from Emergent JT Gravity