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Proves random phase approximation bounds correlation energy in weakly interacting Fermi gases via Bogoliubov transformation, advancing rigorous understanding of quantum many-body systems.

#QuantumMany-Body #TheoreticalPhysics #Research
Upper Bound on the Correlation Energy of a Dense Fermi Gas
arxiv.org
November 1, 2026 at 12:46 AM
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Proves superfluid stiffness in flat-band superconductors equals its BCS variational value through Fock-space fragmentation, enabling exact determination of dynamical response functions in quantum many-body systems.

#QuantumMany-Body #Superconductivity #ExactlySolvable
Exact Stiffness and Dynamical Responses from Fock-Space Fragmentation
arxiv.org
August 28, 2026 at 5:41 AM
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Proves a Berry-Esseen theorem for quantum many-body systems, establishing convergence rates for local observable statistics towards Gaussian distributions in finite but large interacting systems with decay of correlations.

#QuantumStatistics #QuantumMany-Body #Research
Berry-Esseen Bound for Quantum Lattice Systems
arxiv.org
May 6, 2026 at 5:46 AM