91 citations · 371 across the 22 of their papers we have counts for
4 papers · 1 filter
Adiabatically coupled systems and fractional monodromy
M S Hansen, F Faure, B I Zhilinskii
We present a 1-parameter family of systems with fractional monodromy and adiabatic separation of motion. We relate the presence of monodromy to a redistribution of states both in t…
Loss of quantum coherence in a system coupled to a zero-temperature environment
A. Ratchov, F. Faure, F. W. J. Hekking
We discuss the influence of a zero-temperature environment on a coherent quantum system. First, we calculate the reduced density operator of the system in the framework of the well…
Topologically coupled energy bands in molecules
Frederic Faure, Boris Zhilinskii
We propose a concrete application of the Atiyah-Singer index formula in molecular physics, giving the exact number of levels in energy bands, in terms of vector bundles topology. T…
Topological Chern indices in molecular spectra
Frederic Faure, Boris Zhilinskii
Topological Chern indices are related to the number of rotational states in each molecular vibrational band. Modification of the indices is associated to the appearance of ``band d…