37 citations · 54 across the 5 of their papers we have counts for
5 papers
Unsupervised Techniques to Detect Quantum Chaos
Dmitry Nemirovsky, Ruth Shir, Dario Rosa +1
Conventional spectral probes of quantum chaos require eigenvalues, and sometimes, eigenvectors of the quantum Hamiltonian. This involves computationally expensive diagonalization p…
Surmise for random matrices' level spacing distributions beyond nearest-neighbors
Ruth Shir, Pablo Martinez-Azcona, Aurélia Chenu
Correlations between energy levels can help distinguish whether a many-body system is of integrable or chaotic nature. The study of short-range and long-range spectral correlations…
Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking
G. Akemann, F. Balducci, A. Chenu +3
Open quantum systems have complex energy eigenvalues which are expected to follow non-Hermitian random matrix statistics when chaotic, or 2-dimensional (2d) Poisson statistics when…
Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
Federico Roccati, Federico Balducci, Ruth Shir +1
Strong local disorder in interacting quantum spin chains can turn delocalized eigenmodes into localized eigenstates, giving rise to many-body localized (MBL) phases. This is accomp…
Decomposing the Spectral Form Factor
Pablo Martinez-Azcona, Ruth Shir, Aurélia Chenu
Correlations between the energies of a system's spectrum are one of the defining features of quantum chaos. They can be probed using the Spectral Form Factor (SFF). We investigate…