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Financiado
Wavefunctions for strongly correlated systems
Strongly correlated quantum systems, which are at the heart of many open problems in condensed matter, quantum chemistry, or high-energy physics, are challenging to understand due to their intricate entanglement structure. Quantum... Strongly correlated quantum systems, which are at the heart of many open problems in condensed matter, quantum chemistry, or high-energy physics, are challenging to understand due to their intricate entanglement structure. Quantum information theory provides the right framework to characterize highly entangled states and has given rise to the class of Tensor Network States, which capture the entanglement structure of strongly correlated systems by building the global wavefunction from local tensors and provide an efficient description of their low-energy states. In this project, we will develop a framework for the systematic study of strongly correlated systems using exact wavefunctions based on Tensor Network States. It will give us the tools to construct controlled families of states by encoding the relevant structure of the system directly into the wavefunction, rather than a Hamiltonian, and to study their behavior. Since the tensor describing the wavefunction also gives rise to an associated Hamiltonian, this establishes a framework for building solvable models with the tensor as the new central object. The novelty of our approach lies in the fact that quantum information gives us the tools to systematically construct wavefunctions for general strongly correlated systems, while at the same time, encoding the structure of the problem directly into the wavefunction results in small families of states with a direct physical interpretation of the parameters, unlike for fully variational approaches. We will apply our framework to study the physics of a range of strongly correlated models, in particular frustrated fermionic and spin systems, in order to understand the possible physics they can exhibit. This will enhance our understanding of the physics of strongly correlated systems, and, together with numerical results, experimental findings, and quantum simulations, ultimately lead to new applications and materials based on strongly correlated matter. ver más
30/06/2020
MPG
1M€
Duración del proyecto: 64 meses Fecha Inicio: 2015-02-17
Fecha Fin: 2020-06-30

Línea de financiación: concedida

El organismo H2020 notifico la concesión del proyecto el día 2020-06-30
Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:
ERC-StG-2014: ERC Starting Grant
Cerrada hace 10 años
Presupuesto El presupuesto total del proyecto asciende a 1M€
Líder del proyecto
MAXPLANCKGESELLSCHAFT ZUR FORDERUNG DER WISSE... No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico TRL 4-5