Objective
Recent technological developments like nanoapparatus, Bose-Einstein condensates and devices for quantum information, are requiring more detailed mathematical models capable to describe them. In addition, it becomes important to have a rigorous description o f the decoherence phenomenon, whose role is to depress the quantum features of such devices. In our project we propose to study the scaling limits best fitting two relevant regimes for quantum systems: the Bose-Einstein condensate and the and quot;low-density of scatterers and quot; regime. In particular, we aim to approach the problems of rigorous deriving the two effective equations related to such regimes, the Gross-Pitaevskii and the Linear Quantum Boltzmann, respectively.
The insertion of decoherence would be made by coupling the system of interest with an environment modelled as a large number of light particles. The main achievement would be to give a rigorous and unified treatment of the two quantum regimes starting from the fundamental Schroedinger equation. In this direction, during the last five years several results have been obtained separately by the applicant, the scientist in charge, and other groups.
We distinguish between short and long-term objectives. The former count: improvement of the already existing derivation of the Gross-Pitaevskii hierarchy; study of the motion of a one-dimensional particle in the presence of a large number of scatterers; analysis, in this context, of a particular non Markovian limit. The latter are: full derivation of the Gross-Pitaevskii equation in one, two and three dimensions; full derivation of an effective equation for the one-dimensional low-density limit; estimate of the decoherence effect.
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 quantum physics
- natural sciences physical sciences condensed matter physics bose-einstein condensates
- natural sciences mathematics applied mathematics mathematical model
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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
MUNICH
Germany
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.