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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... ver más

30/06/2020

MPG

1M€

Presupuesto del proyecto: 1M€

Líder del proyecto

MAXPLANCKGESELLSCHAFT ZUR FORDERUNG DER WISSE... No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Ver 3 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2020-06-30

ERC-StG-2014: ERC Starting Grant

I+D

Cerrada hace 10 años

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Información adicional privada

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

3 Participantes

MPG

1.34M€ | Lider

CALTEX SISTEMAS SL

350.00K€ | Participante

RWTH AACHEN

N.D. | Participante

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Duración del proyecto: 64 meses Fecha Inicio: 2015-02-17
Fecha Fin: 2020-06-30

Líder del proyecto

MAXPLANCKGESELLSCHAFT ZUR FORDERUNG DER WISSE... No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 1M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto 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.

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