From the 1 of 6 linked papers with an AI index.
6 papers
The two-particle density matrix of a Luttinger liquid
Harini Radhakrishnan, Matthias Thamm, Hatem Barghathi +2
The paper derives an exact finite-size formula for the equal-time two‑particle reduced density matrix of spinless fermions in a Tomonaga‑Luttinger liquid, revealing how its decay a…
Edge Reconstruction in a Quantum Spin Hall Insulator
Rahul Soni, Matthias Thamm, Gonzalo Alvarez +2
We study interaction-driven edge reconstruction in a quantum spin Hall insulator described by the Bernevig-Hughes-Zhang model with Kanamori-Hubbard interactions using the real-spac…
BBP Phase Transition for an Extensive Number of Outliers
Niklas Forner, Alexander Maloney, Bernd Rosenow
Random-matrix theory helps disentangle signal from noise in large data sets. We analyze rectangular matrices in which the noise generates a Marchenko…
Unified Description of Learning Dynamics in the Soft Committee Machine from Finite to Ultra-Wide Regimes
Assem Afanah, Bernd Rosenow
We study the learning dynamics of the soft committee machine (SCM) with Rectified Linear Unit (ReLU) activation using a statistical-mechanics approach within the annealed approxima…
Small Singular Values Matter: A Random Matrix Analysis of Transformer Models
Max Staats, Matthias Thamm, Bernd Rosenow
This work analyzes singular-value spectra of weight matrices in pretrained transformer models to understand how information is stored at both ends of the spectrum. Using Random Mat…
Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
Matthias Thamm, Harini Radhakrishnan, Hatem Barghathi +4
We present a controlled numerical study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in the one-dimensional Bose-Hubbard model at unit filling, providing evidence of the…