Objective
This proposal concerns the theoretical investigation of ultra-cold atoms in lattices, with special attention to the strongly correlated regime. The scientific objectives consist in the application of innovative methods for strongly correlated systems to describe novel physical situations, obtained through the engineering of the Hamiltonian.
We will solve the Bose-Hubbard Hamiltonian using the Gutzwiller ansatz, the dynamical mean-field (DMF) method, the time-evolving block decimation (TEBD) method, as well as exact numerical solutions for small systems. The DMF and the DEBD are respectively a traditional method in condensed matter physics and a completely innovative method for slightly entangled systems, which look very promising for the study of ultra-cold gases.
First, we will devote our attention to the study of the excited states and the dynamics of ultra-cold dipolar atoms in a lattice. We will investigate in particular whether the system is characterised by a multitude of almost degenerate states and how in this respect it compares with disordered systems. Our final aim is to draw the bridge with possible applications as neural networks or quantum memories.
Second, we will investigate the physics of ultra-cold atoms in non-abelian gauge fields in a lattice, starting from the single particle behaviour (presently under investigation), to the weak interacting (mean-field) and strongly interacting (correlated) regime. Our ultimate goal is the investigation of Berry phases, non-abelian Aharonov-Bohm effect and area or perimeters laws for Wilson or t'Hooft loops.
The training objectives of the proposal are aimed to bring the applicant to master the named techniques and acquire experience in multidisciplinary fields, ranging from neural networks, quantum field theory and quantum computation implementations, this last area being strongly interconnected with the present proposal from the point of view of theoretical and experimental methods.
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.
- natural sciences physical sciences condensed matter physics
- natural sciences physical sciences quantum physics quantum field theory
- social sciences law
- natural sciences computer and information sciences artificial intelligence computational intelligence
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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.
FP6-2004-MOBILITY-5
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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
BARCELONA
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.