Department of Physics, Princeton University
Abstract: We derive an exact renormalization group recursion relation for the Loschmidt amplitude of the quantum N-state Potts chain for all N. The fixed-points of this recursion relation are found to be complex in general. These fixed-points control the dynamical phases of the Potts chain, giving rise to non-analytic behaviors in its quantum dynamics. The fixed-points for N = 2, 3, 4, and 5 are discussed in detail. The renormalization group flow is found to be metastable for N = 3 and 5. In addition, it is oscillatory for N = 3, and chaotic for N = 5. In the end, the generalization from our calculation to the coarse-graining of tensor networks is discussed.
Contact: Lei Wang, 9853