Transport and stability in periodically driven systems with applications to the quantum Hall effect.
Project goals
A study of the dynamics of periodically driven quantum systems. The goals are to prove the existence of a charge transport for systems driven by a periodically time-dependent Aharonov-Bohm flux in the resonant case, and to derive sufficient conditions onthe external force that would guarantee stability of the Floquet operator in the nonresonant case.
Keywords
quantum systemquantum Hall effectperiodically time-dependentAharonov-Bohm flux
Public support
Provider
Ministry of Education, Youth and Sports
Programme
KONTAKT
Call for proposals
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Main participants
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Contest type
M2 - International cooperation
Contract ID
10999/2010-32
Alternative language
Project name in Czech
Transport a stabilita v systémech s periodickou vnější silou s aplikacemi na kvantový Hallův jev.
Annotation in Czech
Studium dynamiky kvantových systémů, na které periodicky působí vnější silové pole. Cílem je prokázat existenci transportu náboje, jestliže jako vnější síla působí periodický tok Aharonova-Bohma v rezonančním případě, a odvození postačujících podmínek navnější sílu, které by zaručovaly stabilitu Floquetova operátor v nerezonančním případě.
Scientific branches
R&D category
ZV - Basic research
CEP classification - main branch
BA - General mathematics
CEP - secondary branch
BE - Theoretical physics
CEP - another secondary branch
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10101 - Pure mathematics
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Completed project evaluation
Provider evaluation
U - Uspěl podle zadání (s publikovanými či patentovanými výsledky atd.)
Project results evaluation
A quantum model of a Hydrogen atom in a thin planar slab has been analyzed. A resonance acceleration has been studied, on the classical and quantum level, for a charged particle in a uniform magnetic field and driven by an oscillating Aharonov-Bohm flux.
Solution timeline
Realization period - beginning
Jan 1, 2010
Realization period - end
Dec 31, 2011
Project status
U - Finished project
Latest support payment
Mar 25, 2011
Data delivery to CEP
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data delivery code
CEP12-MSM-ME-U/01:1
Data delivery date
Jul 12, 2012
Finance
Total approved costs
121 thou. CZK
Public financial support
121 thou. CZK
Other public sources
0 thou. CZK
Non public and foreign sources
0 thou. CZK
Basic information
Recognised costs
121 CZK thou.
Public support
121 CZK thou.
100%
Provider
Ministry of Education, Youth and Sports
CEP
BA - General mathematics
Solution period
01. 01. 2010 - 31. 12. 2011