How does the ground state energy of the system change when we braid two anyons? Can the braiding of anyons be simulated with a computational method such as the density matrix renormalization group, and if so, could someone please give me some references? I've tried looking around, but I haven't been able to find anything.
I am specifically referring to the following slides, specifically around slide 56 or so, where he talks about DMRG and the quantum Hall Hamiltonian:
If, as Slaviks states below, that the ground state doesn't change, how can we learn about braiding statistics from DMRG?