Tootfinder

Entanglement Holography in Quantum Phases via Twisted R\'enyi-N Correlators
Pablo Sala, Frank Pollmann, Masaki Oshikawa, Yizhi You
https://arxiv.org/abs/2506.10076

Entanglement Holography in Quantum Phases via Twisted Rényi-N Correlators
We introduce a holographic framework for the entanglement Hamiltonian in symmetry-protected topological (SPT) phases with area-law entanglement, whose reduced density matrix $ρ\propto e^{-H_e}$ can be treated as a lower-dimensional mixed state. By replicating $ρ$, we reconstruct the fixed-point SPT wavefunction, establishing an exact correspondence between the bulk strange correlator of the (d+1)-dimensional SPT state and the twisted Rényi-N operator of the d-dimensional reduced density matr…

This https://arxiv.org/abs/2407.01227 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Non-intersecting paths and the determinant of the distance matrix of a tree
We present the first combinatorial proof of the Graham-Pollak Formula for the determinant of the distance matrix of a tree, via sign-reversing involutions and the Lindström-Gessel-Viennot Lemma. Our approach provides a cohesive and unified framework for the understanding of the existing generalizations and $q$-analogues of the Graham-Pollak Formula, and facilitates the derivation of a natural simultaneous generalizations for them.