COMBOS

Collective phenomena in quantum and classical many body systems

 Coordinatore UNIVERSITA DEGLI STUDI ROMA TRE 

Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.

 Nazionalità Coordinatore Italy [IT]
 Totale costo 650˙000 €
 EC contributo 650˙000 €
 Programma FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call ERC-2009-StG
 Funding Scheme ERC-SG
 Anno di inizio 2010
 Periodo (anno-mese-giorno) 2010-01-01   -   2014-12-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITA DEGLI STUDI ROMA TRE

 Organization address address: VIA OSTIENSE 161
city: ROMA
postcode: 154

contact info
Titolo: Dr.
Nome: Alessandro
Cognome: Giuliani
Email: send email
Telefono: 390657000000
Fax: 390657000000

IT (ROMA) hostInstitution 650˙000.00
2    UNIVERSITA DEGLI STUDI ROMA TRE

 Organization address address: VIA OSTIENSE 161
city: ROMA
postcode: 154

contact info
Titolo: Dr.
Nome: Virgilio
Cognome: Lo Presti
Email: send email
Telefono: 390657000000
Fax: 390657000000

IT (ROMA) hostInstitution 650˙000.00

Mappa


 Word cloud

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progress    phenomena    einstein    condensation    mathematical    periodic    magnetic    bose    gases    liquid    liquids    body    patterns    spontaneous    theory    luttinger    temperature    behavior    models   

 Obiettivo del progetto (Objective)

'The collective behavior of quantum and classical many body systems such as ultracold atomic gases, nanowires, cuprates and micromagnets are currently subject of an intense experimental and theoretical research worldwide. Understanding the fascinating phenomena of Bose-Einstein condensation, Luttinger liquid vs non-Luttinger liquid behavior, high temperature superconductivity, and spontaneous formation of periodic patterns in magnetic systems, is an exciting challenge for theoreticians. Most of these phenomena are still far from being fully understood, even from a heuristic point of view. Unveiling the exotic properties of such systems by rigorous mathematical analysis is an important and difficult challenge for mathematical physics. In the last two decades, substantial progress has been made on various aspects of many-body theory, including Fermi liquids, Luttinger liquids, perturbed Ising models at criticality, bosonization, trapped Bose gases and spontaneous formation of periodic patterns. The techniques successfully employed in this field are diverse, and range from constructive renormalization group to functional variational estimates. In this research project we propose to investigate a number of statistical mechanics models by a combination of different mathematical methods. The objective is, on the one hand, to understand crossover phenomena, phase transitions and low-temperature states with broken symmetry, which are of interest in the theory of condensed matter and that we believe to be accessible to the currently available methods; on the other, to develop new techiques combining different and complementary methods, such as multiscale analysis and localization bounds, or reflection positivity and cluster expansion, which may be useful to further progress on important open problems, such as Bose-Einstein condensation, conformal invariance in non-integrable models, existence of magnetic or superconducting long range order.'

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