27 citations · 213 across the 29 of their papers we have counts for
31 papers
Metrics and geodesics on fuzzy spaces
David Viennot
We study the fuzzy spaces (as special examples of noncommutative manifolds) with their quasicoherent states in order to find their pertinent metrics. We show that they are naturall…
Geometric phases, Everett's many-worlds interpretation of quantum mechanics, and wormholes
David Viennot
We present how the formalism of geometric phases in adiabatic quantum dynamics provides geometric realisations permitting to ``embody'' the Everett's many-worlds interpretation of…
Consistency between adiabatic and nonadiabatic geometric phases for nonselfadjoint hamiltonians
David Viennot, Arnaud Leclerc, Georges Jolicard +1
We show that the adiabatic approximation for nonselfadjoint hamiltonians seems to induce two non-equal expressions for the geometric phase. The first one is related to the spectral…
Fuzzy Schwarzschild (2+1)-spacetime
David Viennot
We present a toy model of fuzzy Schwarzschild space slice (as a noncommutative manifold) which quantum mean values and quantum quasi-coherent states (states minimizing the quantum…
Emergent gravity and D-brane adiabatic dynamics: emergent Lorentz connection
David Viennot
We explore emergent geometry of the spacetime at the microscopic scale by adiabatic transport of a quasi-coherent state of a fermionic string, with quantum spacetime described by t…
Competition between decoherence and purification: quaternionic representation and quaternionic fractals
David Viennot
We consider the competition between decoherence processes and an iterated quantum purification protocol. We show that this competition can be modelled by a nonlinear map onto the q…