Speaker
Description
We consider the dynamics in quantum-reduced loop gravity generated by a specific choice of the physical Hamiltonian operator, where the Lorentzian part of the Hamiltonian is given by an operator representing the scalar curvature of the spatial manifold. Specializing to a cubic graph consisting of a single six-valent vertex, and truncating the Hilbert space of the model by introducing a finite but relatively large cutoff on the spin quantum numbers, the time evolution of quantum states becomes accessible through numerical computations. We present results for the quantum dynamics of semiclassical states describing homogeneous and isotropic spatial geometries, and compare the evolution of geometrical observables against the "effective dynamics" generated on the classical phase space by a semiclassical effective Hamiltonian.
