Author

René Meyer

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Preprint Sep 2026

A new product entropy

We propose a new product entropy, defined as the R\'enyi (or von Neumann) entropy of a normalized product operator constructed from two density matrices. We establish a duality showing that the SVD entanglement entropy of a subsystem for two pure states is exactly equivalent to the product entropy of the complementary...

Jiaju Zhang, Zhuo-Yu Xian, René Meyer et al. · 0 citations

Preprint Sep 2026

Quantum-Geometric Amplification of Nonperturbative Interaction Scales

Weak interactions at a two-dimensional quadratic band touching (QBT) can generate an exponentially small symmetry-breaking gap, $m\sim e^{-A/V_1}$, that cannot be captured by every finite order of perturbation theory. We show that the singular quantum geometry of the gapped QBT converts this beyond-all-orders scale int...

Stefano Bilamour, René Meyer, Johanna Erdmenger et al. · 0 citations