Hola,
¿eres nuevo aquí?

Regístrate gratis y conecta tu empresa con financiación pública, partners y proyectos.

Tengo cuenta

Regístrate

Ver video

RANMAT

Financiado

Cerrado

Random matrices universality and disordered quantum systems

Large complex systems tend to develop universal patterns that often represent their essential characteristics. A pioneering vision of E. Wigner was that the distribution of the gaps between energy levels of complicated quantum sys... ver más

31/08/2019

IST AUSTRIA

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo FP7 notifico la concesión del proyecto el día 2019-08-31 No tenemos la información de la convocatoria

0% 100% 100%

Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

1 Participantes

IST AUSTRIA

0.00€ | Lider

Proyectos interesantes

RMTBEYOND

Applied Physics

Mathematics

2M€ Cerrado

PGC2018-093854-B-I00

Applied Physics

Data Science

61K€ Cerrado

RandMat

Applied Physics

Data Science

1M€ Cerrado

RHP-RMT

Applied Physics

Data Science

243K€ Cerrado

CRAMIS

Applied Physics

Data Science

1M€ Cerrado

MTM2015-63914-P

Applied Physics

Data Science

102K€ Cerrado

Conecta tu I+D

¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video

Líder del proyecto

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 2M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto Large complex systems tend to develop universal patterns that often represent their essential characteristics. A pioneering vision of E. Wigner was that the distribution of the gaps between energy levels of complicated quantum systems depends only on the basic symmetry of the model and is otherwise independent of the physical details. This thesis has never been rigorously proved for any realistic physical system but experimental data and extensive numerics leave no doubt as to its correctness. Wigner also discovered that the statistics of gaps can be modelled by eigenvalues of large random matrices. Thus the natural questions, How do energy levels behave? and What do eigenvalues of a typical large matrix look like?, have surprisingly the same answer! This project will develop new tools to respond to the two main challenges that Wigner’s vision poses for mathematics. First, prove that a large class of natural systems exhibits universality. The simplest model is the random matrix itself, for which the original conjecture, posed almost fifty years ago, has recently been solved by the PI and coworkers. This breakthrough opens up the route to the universality for more realistic physical systems such as random band matrices, matrices with correlated entries and random Schrödinger operators. Second, eigenvalue statistics will be used to detect the basic dichotomy of disordered quantum systems, the Anderson metal-insulator transition. Third, describe the properties of the strongly correlated eigenvalues viewed as a point process. Although this process appears as ubiquitous in Nature as the Poisson process or the Brownian motion, we still know only very little about it. Due to the very strong correlations, the standard toolboxes of probability theory and statistical mechanics are not applicable. The main impact of the project is a conceptual understanding of spectral universality and the development of robust analytical tools to study strongly correlated systems.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores