2 citations · 3 across the 2 of their papers we have counts for
6 papers
Circular Rosenzweig-Porter random matrix ensemble
Wouter Buijsman, Yevgeny Bar Lev
The Rosenzweig-Porter random matrix ensemble serves as a qualitative phenomenological model for the level statistics and fractality of eigenstates across the many-body localization…
Power-law banded random matrix ensemble as a model for quantum many-body Hamiltonians
Wouter Buijsman, Masudul Haque, Ivan M. Khaymovich
We explore interpretations of the power-law banded random matrix (PLBRM) ensemble as Hamiltonians of one-dimensional quantum many-body systems. We introduce and compare a number of…
Average weighted ratio of consecutive level spacings for infinite-dimensional orthogonal random matrices
Wouter Buijsman
The onset of quantum ergodicity is often quantified by the average ratio of consecutive level spacings. The reference values for ergodic quantum systems have been obtained numerica…
Sensitivity of the spectral form factor to short-range level statistics
Wouter Buijsman, Vadim Cheianov, Vladimir Gritsev
The spectral form factor is a dynamical probe for level statistics of quantum systems. The early-time behaviour is commonly interpreted as a characterization of two-point correlati…
Gumbel statistics for entanglement spectra of many-body localized eigenstates
Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
An entanglement spectrum encodes statistics beyond the entanglement entropy, of which several have been studied in the context of many-body localization. We numerically study the e…
Periodic revivals from supersymmetry in a fermionic kinetically constrained model
Wouter Buijsman, Pieter W. Claeys
Supersymmetry provides a natural playground for the construction of dynamically constrained lattice fermion models. We here illustrate how supersymmetry can be used to construct a…