A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
Cardy,Scaling and Renormalization in Statistical Physics, Cambridge Lecture Notes in Physics (Cam- bridge University Press, 1996)
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Neural quantum states with a tailored 3D convolutional architecture simulate quench dynamics up to 1000 qubits and verify the 3D quantum Kibble-Zurek mechanism with RG-derived logarithmic corrections and data collapse.
The diagonal metric response of quantum relative entropy yields a susceptibility that diverges at quantum critical points in spin chains, with square-log divergence in the TFIM and power-law in a non-integrable three-spin Ising chain.
A protocol extracts scaling dimensions of d=3 CFTs from the spectrum of qubit Hamiltonians on polyhedral lattices, achieving few-percent accuracy on the 3D Ising model with 20 qubits.
Ground-state expectation values of slow-momentum observables in QFTs can be approximated by averages over the critical fixed-point theories via fidelity-based hyperscaling relations.
citing papers explorer
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Random Matrix Spectra from Boltzmann-Weighted Lattice Ensembles
A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
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Real-time Dynamics in 3D for up to 1000 Qubits with Neural Quantum States: Quenches and the Quantum Kibble--Zurek Mechanism
Neural quantum states with a tailored 3D convolutional architecture simulate quench dynamics up to 1000 qubits and verify the 3D quantum Kibble-Zurek mechanism with RG-derived logarithmic corrections and data collapse.
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Metric response of relative entropy: A universal indicator of quantum criticality
The diagonal metric response of quantum relative entropy yields a susceptibility that diverges at quantum critical points in spin chains, with square-log divergence in the TFIM and power-law in a non-integrable three-spin Ising chain.
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Qubit discretizations of d=3 conformal field theories
A protocol extracts scaling dimensions of d=3 CFTs from the spectrum of qubit Hamiltonians on polyhedral lattices, achieving few-percent accuracy on the 3D Ising model with 20 qubits.
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Hyperscaling of Fidelity and Operator Estimations in the Critical Manifold
Ground-state expectation values of slow-momentum observables in QFTs can be approximated by averages over the critical fixed-point theories via fidelity-based hyperscaling relations.