Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
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A quantum Monte Carlo approach using the correlation density matrix detects dominant correlations in many-body systems without prior knowledge.
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On the criticality of the configuration-space statistical geometry
Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
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Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
A quantum Monte Carlo approach using the correlation density matrix detects dominant correlations in many-body systems without prior knowledge.