Circular Rosenzweig-Porter random matrix ensemble

نویسندگان

چکیده

The Rosenzweig-Porter random matrix ensemble serves as a qualitative phenomenological model for the level statistics and fractality of eigenstates across many-body localization transition in static systems. We propose unitary (circular) analogue this ensemble, which similarly captures phenomenology periodically driven (Floquet) define outcome Dyson Brownian motion process. show numerical evidence that shares some key statistical properties with both eigenvalues eigenstates.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Possible Realization of Random Matrix Ensemble

The thermodynamics of interacting vortices constricted to move in one-dimensional tracks carved out on superconducting films in the extreme type-II limit is mapped into the Coulomb gas model of random matrices. Application of the Selberg Integral supply exact expressions for the constitutive relation for two configurations of tracks. PACS number: 74.20.Hi, 02.10.Sp To appear in J. Phys. Cond. M...

متن کامل

RNA substructure as a random matrix ensemble

We obtain a closed form of generating functions of RNA substructure using hermitian matrix model with the Chebyshev polynomial of the second kind, which turns out to be the hypergeometric function. To match the experimental findings of the statistical behavior, we regard the substructure as a grand canonical ensemble and find its fugacity value. We also suggest a hierarchical picture based on t...

متن کامل

Brownian motion model of a q - deformed random matrix ensemble

The effect of an external perturbation on the energy spectrum of a mesoscopic quantum conductor can be described by a Brownian motion model developed by Dyson who wrote a Fokker–Planck equation for the evolution of the joint probability distribution of the energy levels. For weakly disordered conductors, which can be described by a Gaussian random matrix ensemble, the solution of the Fokker–Pla...

متن کامل

Level-spacing distributions of the Gaussian unitary random matrix ensemble

Level-spacing distributions of the Gaussian Unitary Ensemble (GUE) of random matrix theory are expressed in terms of solutions of coupled differential equations. Series solutions up to order 50 in the level spacing are obtained, thus providing a very good description of the small-spacing part of the level-spacing distribution, which can be used to make comparisons with experimental or numerical...

متن کامل

Random Projection Ensemble Classifiers

We introduce a novel ensemble model based on random projections. The contribution of using random projections is two-fold. First, the randomness provides the diversity which is required for the construction of an ensemble model. Second, random projections embed the original set into a space of lower dimension while preserving the dataset’s geometrical structure to a given distortion. This reduc...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SciPost physics

سال: 2022

ISSN: ['2542-4653']

DOI: https://doi.org/10.21468/scipostphys.12.3.082