Long-range spectral statistics of the Rosenzweig-Porter model

W Buijsman - Physical Review B, 2024 - APS
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 …

Robust nonergodicity of the ground states in the ensemble

AK Das, A Ghosh, IM Khaymovich - Physical Review B, 2024 - APS
In various chaotic quantum many-body systems, the ground states show nontrivial athermal
behavior despite the bulk states exhibiting thermalization. Such athermal states play a …

Reducing dynamical fluctuations and enforcing self-averaging by opening many-body quantum systems

I Vallejo-Fabila, AK Das, DA Zarate-Herrada… - Physical Review B, 2024 - APS
We investigate how the dynamical fluctuations of many-body quantum systems out of
equilibrium can be mitigated when they are opened to a dephasing environment. We …

Dynamical signatures of Chaos to integrability crossover in generalized random matrix ensembles

AK Das, A Ghosh - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
We introduce a two-parameter ensemble of generalized 2× 2 real symmetric random
matrices called the β-Rosenzweig-Porter ensemble (β-RPE), parameterized by β, a fictitious …

Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models

T Pathak - arXiv preprint arXiv:2407.21644, 2024 - arxiv.org
Spectral statistics and correlations are the usual way to study the presence or absence of
quantum chaos in quantum systems. We present our investigation on the study of the …

Experimental test of an extension of the Rosenzweig–Porter model to mixed integrable-chaotic systems experiencing time-reversal invariance violation

X Zhang, J Che, B Dietz - Chinese Physics B, 2024 - iopscience.iop.org
Experimental test of an extension of the Rosenzweig–Porter model to mixed integrable-chaotic
systems experiencing time-reversal invariance violation - IOPscience Skip to content IOP …

The Rosenzweig Porter model revisited for the three Wigner Dyson symmetry classes

T Cadez, D Nandy, D Rosa, A Andreanov… - arXiv preprint arXiv …, 2024 - arxiv.org
We present numerical results for the Rosenzweig Porter model for all symmetry classes of
the Dyson threefold way. We analyzed the fluctuation properties in the eigenvalue spectra …

Superuniversal Statistics of Complex Time-Delays in Non-Hermitian Scattering Systems

N Shaibe, JM Erb, SM Anlage - arXiv preprint arXiv:2408.05343, 2024 - arxiv.org
The Wigner-Smith time-delay of flux conserving systems is a real quantity that measures
how long an excitation resides in an interaction region. The complex generalization of time …

Non-ergodic extended states in strongly disordered systems

A Kutlin - 2025 - tud.qucosa.de
Abstract (EN) Although the phenomenon of Anderson disorder-induced localization (AL) has
been known for over sixty years, its analytical description is not yet well-established, even for …

Sensibilidad del entrelazamiento a perturbaciones de sistemas cuánticos de muchos cuerpos

F Correa Alvarado - repositorioinstitucional.buap.mx
Abstract" Empleando conceptos y herramientas del caos cuántico, teoría de matrices
aleatorias y teoría de la información cuántica, se estudian los efectos de una perturbación …