27 citations · 213 across the 29 of their papers we have counts for
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Geometric phases in quantum control disturbed by classical stochastic processes
David Viennot
We describe the geometric (Berry) phases arising when some quantum systems are driven by control classical parameters but also by outer classical stochastic processes (as for examp…
C\ast-geometric phase for mixed states: entanglement, decoherence and spin system
David Viennot, José Lages
We study a kind of geometric phases for entangled quantum systems, and particularly a spin driven by a magnetic field and entangled with another spin. The new kind of geometric pha…
The role of the geometric phases in adiabatic populations tracking for non-hermitian hamiltonians
Arnaud Leclerc, David Viennot, Georges Jolicard
We show that the definition of instantaneous eigenstate populations for a dynamical non-self-adjoint system is not obvious. The naive direct extension of the definition used for th…
Non-abelian higher gauge theory and categorical bundle
David Viennot
A gauge theory is associated with a principal bundle endowed with a connection permitting to define horizontal lifts of paths. The horizontal lifts of surfaces cannot be defined in…
Constrained Adiabatic Trajectory Method (CATM): a global integrator for explicitly time-dependent Hamiltonians
Arnaud Leclerc, Georges Jolicard, David Viennot +1
The Constrained Adiabatic Trajectory Method (CATM) is reexamined as an integrator for the Schrödinger equation. An initial discussion places the CATM in the context of the differen…