COMPLEX QUANTUM SYSTEMS

English

On the one hand, quantum systems have remarkable specificities such as the coherence manifesting itself in various wave phenomena or in the quantization of transverse (Hall) conductivities at low temperatures. On the other hand, quantum systems also sustain relaxation, decoherence, transport, and stochastic processes, as well as their classical analogues. We contribute to the development of theoretical methods of statistical physics and transport theory to understand these intertwined aspects.

	*Selected publications* 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. 81, 1665 (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).