Spectral gaps in interacting quantum systems

Projektinformationen

GAPS

ID Finanzhilfevereinbarung: 648913

DOI 10.3030/648913

Abgeschlossenes Projekt

EK-Unterschriftsdatum 23 März 2015

Startdatum 1 September 2015

Enddatum 28 Februar 2022

Finanziert unter

• EXCELLENT SCIENCE - European Research Council (ERC)

Gesamtkosten € 1 462 750,00

EU-Beitrag € 1 462 750,00

Koordiniert durch

UNIVERSIDAD COMPLUTENSE DE MADRID
Spain

Ziel

Interactions in a many body quantum system are encoded in a Hamiltonian, where the physical intuition that particles can only interact with those which are closeby is formally imposed as a local structure in the Hamiltonian, and homogeneity in space is imposed by a translational invariant structure on a given regular lattice in one, two or three dimensions. The first main aim of this proposal is to characterize the existence of a uniform (with the system size) lower bound on the gap between the two lowest eigenvalues of a given local translational invariant Hamiltonian.

There are many reasons which motivate this study, coming from different fields, and hence many potential applications. We will concentrate here on those coming from quantum information theory and from condensed matter physics and mainly, as the second main aim of this proposal, on classifying the different possible quantum phases arising in this type of models.

Wissenschaftliches Gebiet

• natural sciences › mathematics › applied mathematics › mathematical physics
• natural sciences › computer and information sciences › computer security › cryptography
• natural sciences › physical sciences › quantum physics › quantum field theory
• natural sciences › computer and information sciences › artificial intelligence › machine learning
• natural sciences › physical sciences › electromagnetism and electronics › superconductivity

Schlüsselbegriffe

• Spectrum of quantum Hamiltonians
• classification of quantum phases
• locally interacting quantum spin systems
• dissipation in quantum systems
• computability
• tensor networks

Programm/Programme

• H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme

Thema/Themen

• ERC-CoG-2014 - ERC Consolidator Grant

Aufforderung zur Vorschlagseinreichung

ERC-2014-CoG

Finanzierungsplan

ERC-COG - Consolidator Grant

Gastgebende Einrichtung

UNIVERSIDAD COMPLUTENSE DE MADRID

• Netto-EU-Beitrag: € 1 462 750,00
• Adresse: AVENIDA DE SENECA 2 ; 28040 Madrid ; Spanien
• Region: Comunidad de Madrid › Comunidad de Madrid › Madrid
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 462 750,00

Begünstigte (1)

UNIVERSIDAD COMPLUTENSE DE MADRID

Spanien

• Netto-EU-Beitrag: € 1 462 750,00
• Adresse: AVENIDA DE SENECA 2 ; 28040 Madrid
• Region: Comunidad de Madrid › Comunidad de Madrid › Madrid
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 462 750,00