Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model

P Nandy, T Pathak, M Tezuka - arxiv preprint arxiv:2406.11969, 2024 - arxiv.org
Utilizing singular value decomposition, our investigation focuses on the spectrum of the
singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev (SYK) model. Unlike the …

Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking

G Akemann, F Balducci, A Chenu, P Päßler… - Physical Review …, 2025 - APS
Open quantum systems have complex energy eigenvalues which are expected to follow non-
Hermitian random matrix statistics, when chaotic, or two-dimensional (2d) Poisson statistics …

Probing quantum chaos through singular-value correlations in the sparse non-Hermitian Sachdev-Ye-Kitaev model

P Nandy, T Pathak, M Tezuka - Physical Review B, 2025 - APS
Exploring the spectral properties of non-Hermitian systems presents a substantial theoretical
challenge due to the presence of a complex eigenvalue spectrum. Singular values for such …

Diagnosing thermalization dynamics of non-Hermitian quantum systems via GKSL master equations

Y Mao, P Zhong, H Lin, X Wang, S Hu - Chinese Physics Letters, 2024 - iopscience.iop.org
The application of the eigenstate thermalization hypothesis to non-Hermitian quantum
systems has become one of the most important topics in dissipative quantum chaos, recently …

Chaos in Time: A Dissipative Continuous Quasi Time Crystals

P Solanki, F Minganti - arxiv preprint arxiv:2411.07297, 2024 - arxiv.org
While a generic open quantum system decays to its steady state, continuous time crystals
(CTCs) develop spontaneous oscillation and never converge to a stationary state. Just as …