49 citations · 50 across the 7 of their papers we have counts for
7 papers
The two-particle density matrix of a Luttinger liquid
Harini Radhakrishnan, Matthias Thamm, Hatem Barghathi +2
Two-particle coherence is the first level of the reduced-density-matrix hierarchy that contains correlations inaccessible to single-particle observables, yet analytic two-particle…
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…
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…
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…
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…
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…
Portfolio Optimization and the Random Magnet Problem
B. Rosenow, V. Plerou, P. Gopikrishnan +1
Diversification of an investment into independently fluctuating assets reduces its risk. In reality, movement of assets are are mutually correlated and therefore knowledge of cross…