Objective
"Recent progress in studying Entanglement Renormalization (ER) in the context of quantum information has led to a powerful ansatz to describe wave functions of complex quantum many-body systems. Dr. Tagliacozzo intends, with this project, to apply this ansatz to study Lattice Gauge Theories (LGT).
LGT are relevant to different branches of physics: a) they constitute one of the few tools available to analyze the strongly coupled regime of Quantum Chromo Dynamics b) they play a prominent role in effective models for quantum material's antiferromagnetism and high temperature superconductivity; c) their phase diagrams are related to the stability of topological phases relevant for quantum computation.
Present approaches to study LGT are mostly based on Monte Carlo (MC) simulations that incur in several limitations: 1) difficulty to directly extract information about quantum states wave functions such as their entanglement entropy or the expected value of non-local observables; 2) exponentially hard simulations of fermionic and frustrated systems; 3) very limited ability to perform time evolutions. These limitations prevent our complete understanding of LGT.
By applying ER directly to the LGT Hamiltonian formulation, Dr. Tagliacozzo will provide new computational tools to override these limitations and gain access to: 1) scaling of the entanglement entropy and non local observables and fidelities, 2) simulations of LGT with either bosonic or fermionic matter and of frustrated LGT at the same computational cost; 3) time evolutions.
In order to succeed with his objectives the candidate will have: 1) to expand the current theoretical framework of ER so that it can be applied to a LGT following his seminal paper; 2) develop the related numerical tools, 3) deploy them in massive simulations.
The information the candidate will gather with his project will complement the current understanding of LGT based on MC simulations providing better insight of LGT in 2+1 dimensions."
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2010-IIF
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
08860 Castelldefels
Spain
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.