Monday, March 28th, 10,00 - zoom link:
https://unipd.zoom.us/j/367589168
Alessandro Pisana - Master's student
Title:
Entangling polyhedra in quantum gravity via uniformization constraints
Abstract:
Loop Quantum Gravity (LQG) is one of the most promising approaches to quantize gravitational interaction. Basis states in the kinematical Hilbert space of LQG, the so-called spin network states, have a dual geometrical interpretation as many-body states representing an unentangled quantum polyhedra collection. Entangled states are recovered via polyhedra uniformization constraints, minimized by tensor networks techniques. In my talk, I will present preliminary results concerning entangled polyhedra states. In particular, I will show how it is possible to recast uniformization constraints for a spin-1/2 chain of tetrahedra as an Ising model with exchange interaction. FInally, I will show the numerical results obtained by simulating the resulting Ising Hamiltonian by means of Matrix Product States.
