Speaker
Description
We reformulate the O(2) model with a chemical potential and the Abelian Higgs model using the
Tensor Renormalization Group method (both on a 1+1 space-time lattice).
The reformulation allows exact blocking, is manifestly gauge invariant and connects smoothly the classical Lagrangian formulation
used by lattice gauge theorists to the quantum Hamiltonian method commonly used in condensed matter.
We calculate the entanglement entropy in the superfluid phase of the O(2) model and show that it obeys the Cardy scaling (c/3)*Ln(L).
We calculate the Polyakov loop in the Abelian Higgs model and discuss the possibility of a deconfinement transition at finite volume.
We propose to use Bose-Hubbard (BH) Hamiltonians with two species as quantum simulators for these models.
Using degenerate perturbation theory, we obtain effective Hamiltonians resembling those relevant for the two models discussed above.
We propose optical lattice implementations of these BH Hamiltonians.
