A Berry-Esseen theorem is proven for local observables in quantum lattice systems with finite correlation length, yielding convergence to normality with error O(N^{-1/2} polylog N).
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Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.
Closed-form asymptotics for Rényi entropies in the open XX chain give 2k_F oscillations, s^{±1/α} envelopes, and -½ log log ℓ equipartition offset.
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A Berry-Esseen Bound for Quantum Lattice Systems
A Berry-Esseen theorem is proven for local observables in quantum lattice systems with finite correlation length, yielding convergence to normality with error O(N^{-1/2} polylog N).
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Some progress on the use of the variational method in quantum field theory
Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.
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Entanglement in the open XX chain: R\'enyi oscillations, hard-edge crossover, and symmetry resolution
Closed-form asymptotics for Rényi entropies in the open XX chain give 2k_F oscillations, s^{±1/α} envelopes, and -½ log log ℓ equipartition offset.