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SYSTEMES QUANTIQUES COMPLEXES

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D’une part, les systèmes quantiques ont des spécificités remarquables telles que leur cohérence qui se manifeste dans divers phénomènes ondulatoires ou dans la quantification de conductivités transverses du type de Hall à basse température. D’autre part, les systèmes quantiques subissent des processus stochastiques de relaxation, de décohérence ou de transport, comme leurs analogues classiques. Nous contribuons au développement de méthodes théoriques de la physique statistique et de la théorie du transport pour comprendre ces aspects complémentaires des systèmes quantiques

Publications choisies

Stochastic Schrödinger equation:

NonMarkovian stochastic Schrödinger equation,
P. Gaspard and M. Nagaoka, J. Chem. Phys. 111, 5676 (1999).

Fluctuation theorem and counting statistics in quantum systems:

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics
in quantum systems
,
M. Esposito, U. Harbola, and S. Mukamel, Rev. Mod. Phys. (2009).

Quantum theory of nonequilibrium steady states:

Schrödinger equation for current carrying states,
D. S. Kosov, J. Chem. Phys. 116, 6368 (2002).

Kohn-Sham equations for nanowires with direct current,
D. S. Kosov, J. Chem. Phys. 119, 1 (2003).

Quantum transport in nanoscale molecular systems:

Nature of well-defined conductance of amine anchored molecular junctions:
Density functional calculations
,
Z. Li and D. S. Kosov, Phys. Rev. B 76, 035415 (2007).

Ultracold atomic gases and the quantum Hall effects:

Non-Abelian optical lattices:
Anomalous quantum Hall effect and Dirac Fermions,
N. Goldman, A. Kubasiak, A. Bermudez, P. Gaspard, M. Lewenstein
and M.A. Martin-Delgado,
Phys. Rev. Lett. 103, 035301 (2009).

Ultracold atomic gases in non-Abelian gauge potentials:
The case of constant Wilson loop
,
N. Goldman, A. Kubasiak, P. Gaspard, and M. Lewenstein, Phys. Rev. A 79, 023624 (2009).

Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials,
N. Goldman and P. Gaspard, Europhys. Lett. 78, 60001 (2007).