3 papers
gr-qc2019
Uniqueness of minimal loop quantum cosmology dynamics
Jonathan Engle, Ilya Vilensky
We show that the standard Hamiltonian of isotropic loop quantum cosmology is selected by physical criteria plus one choice: that it have a `minimal' number of terms. We also show t…
gr-qc2018
Entanglement entropy of Bell-network states in LQG: Analytical and numerical results
Eugenio Bianchi, Pietro Dona, Ilya Vilensky
Bell-network states are loop-quantum-gravity states that glue quantum polyhedra with entanglement. We present an algorithm and a code that evaluates the reduced density matrix of a…
gr-qc2018
Deriving loop quantum cosmology dynamics from diffeomorphism invariance
Jonathan Engle, Ilya Vilensky
We use the requirement of diffeomorphism invariance in the Bianchi I context to derive the form of the quantum Hamiltonian constraint. After imposing the correct classical behavior…