62 citations · 180 across the 15 of their papers we have counts for
15 papers
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…
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…
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…
Long-range spectral statistics of the Rosenzweig-Porter model
Wouter Buijsman
The Rosenzweig-Porter model is a single-parameter random matrix ensemble that supports an ergodic, fractal, and localized phase. The names of these phases refer to the properties o…
Gaussian state approximation of quantum many-body scars
Wouter Buijsman, Yevgeny Bar Lev
Quantum many-body scars are atypical, highly nonthermal eigenstates embedded in a sea of thermal eigenstates that have been observed in, for example, kinetically constrained quantu…
Solvable random matrix ensemble with a logarithmic weakly confining potential
Wouter Buijsman
This work identifies a solvable (in the sense that spectral correlation functions can be expressed in terms of orthogonal polynomials), rotationally invariant random matrix ensembl…
Many-body localization of Fock parafermions
Murod S. Bahovadinov, Wouter Buijsman, Aleksey K. Fedorov +2
We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with {\it correlated} nearest-neighbor interaction. We show that this spin model can be…
Ground-state energy distribution of disordered many-body quantum systems
Wouter Buijsman, Talía L. M. Lezama, Tamar Leiser +1
Extreme-value distributions are studied in the context of a broad range of problems, from the equilibrium properties of low-temperature disordered systems to the occurrence of natu…
Number of zero-energy eigenstates in the PXP model
Wouter Buijsman
The PXP model is paradigmatic in the field of quantum many-body scars. This model has a number of zero-energy eigenstates that is exponentially large in system size. Lower bounds o…
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…
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…
Random Matrix Ensemble for the Level Statistics of Many-Body Localization
Wouter Buijsman, Vadim Cheianov, Vladimir Gritsev
We numerically study the level statistics of the Gaussian ensemble. These statistics generalize Wigner-Dyson level statistics from the discrete set of Dyson indices …
Many-body localization in the Fock space of natural orbitals
Wouter Buijsman, Vladimir Gritsev, Vadim Cheianov
We study the eigenstates of a paradigmatic model of many-body localization in the Fock basis constructed out of the natural orbitals. By numerically studying the participation rati…
Non-ergodicity in the Anisotropic Dicke model
Wouter Buijsman, Vladimir Gritsev, Rudolf Sprik
We study the ergodic -- non-ergodic transition in a generalized Dicke model with independent co- and counter rotating light-matter coupling terms. By studying level statistics, the…