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Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
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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.
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Showing 60 of 75 Pith papers that cite this
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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.
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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.
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The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
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Effective Field Theory of Operator Scrambling from Strong-to-Weak Symmetry Breaking
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Emergence of the Scrooge Ensemble in the Sachdev-Ye-Kitaev Model
All moments of the projected ensemble in the SYK model exactly coincide with those of the Scrooge ensemble, generated by replica-permutation saddles of the measurement path integral, even at arbitrarily short times.
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Tensor invariants for multipartite entanglement classification
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KMS-symmetric thermal Polyakov blocks Fourier-transform into asymptotic retarded correlators, yielding inversion formulae that express thermal OPE coefficients in terms of quasinormal-mode frequencies under meromorphicity.
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Comments on holographic spread complexity
The momentum–spread-complexity relation requires generalized coherent states adapted to the spacetime symmetry algebra; semiclassical spreading alone cannot produce a momentum–complexity correspondence.
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Modular structures in the DSSYK partition function
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Influence-solvability: a systematic theory of $(1+1)D$ solvability and its application to brickwork circuits
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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 geom...
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Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography
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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.
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Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
For chaotic all-to-all systems, the stabilizer Rényi entropy of thermofield double states is set by the spectral form factor and saturates through a first-order dynamical transition.
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Realizing Unitary $k$-designs with a Single Quench
A single quench between two independent random Hamiltonians at the Thouless time generates unitary k-designs.
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York time in JT gravity
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Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes
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Melonic Dominance in Subchromatic Sextic Tensor Models
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Chaos in the butterfly cone
The velocity-dependent Lyapunov exponent inside the butterfly cone satisfies λ(v) ≤ 2πT(1-|v|/v_B), a generalization of the chaos bound, saturated in SYK chains, holographic theories, and large N CFTs.
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The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
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The quadratic growth of Krylov spread complexity in the BTZ black hole
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Size Operator and Spectral Clustering in the Two Coupled SYK Model
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Krylov-Space Memory Cores
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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.
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The two-dimensional disordered $O(N)$ sigma model
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Scale-Invariant Open Quantum Systems
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Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model
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A folded string dual for the Sachdev-Ye-Kitaev model
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Cap amplitudes in random matrix models
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Probing the singularity at the holographic screen via $q$-holography
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Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems
Adding asymptotically safe gravity to the O(N)^3 tensor field theory converts its asymptotic freedom into an interacting fixed point at a non-zero quartic coupling.
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Hot wormholes and chaos dynamics in a two-coupled SYK model
First numerical Lyapunov exponents for the unstable hot wormhole phase of the two-coupled SYK model, obtained via cooling and periodic-driving protocols.
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Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
A large-N model of a Fermi-volume-changing transition without symmetry breaking predicts a skewed marginal Fermi liquid with large asymmetric thermopower, matching CeRhIn5 and Nd-LSCO data.
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SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport
A quantum dot with strong interactions and a narrow band is predicted to show Sachdev-Ye-Kitaev non Fermi liquid transport, including a T^{3/2} inelastic cotunneling conductance.
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Schwarzian functional integrals calculus
Schwarzian functional integrals over Diff^1_+(S^1)/SL(2,R) are reduced to ordinary integrals, giving two- and four-point correlators that do not factorize into two-point products.
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Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
For JT gravity with conformal matter, the generalized entropy defined from the horizon dilaton plus matter entanglement is monotonic along the event horizon and along future Q-screens under the null energy condition, ...
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Warped Schwarzian theory
A solvable low-energy effective theory based on the warped Virasoro group with three cocycles is constructed, and its one-loop-exact partition function and thermodynamics are derived.
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A One-Loop Test of the near-AdS$_2$/near-CFT$_1$ Correspondence
The bulk one-loop partition function of JT gravity reproduces the SYK result -3/2 log beta, with the logarithmic contribution coming entirely from quadratic holomorphic differentials.
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Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model
The study demonstrates that long-range couplings and heterogeneous degree distributions in Ising spin networks on path, Erdős–Rényi, and Watts–Strogatz topologies accelerate quantum information scrambling and chaos, d...
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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.
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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.
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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-inte...
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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.
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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.
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Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach
Promoting the large-charge scalar to an N by N adjoint matrix gives a mean-field fluid whose stress tensor matches extremal AdS5 black holes, while its mode-counted entropy remains parametrically below the black hole entropy.
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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.
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