Transfer matrices and excitations with matrix product states

摘要: We use the formalism of tensor network states to investigate relation between static correlation functions in ground state local quantum many-body Hamiltonians and dispersion relations corresponding low-energy excitations. In particular, we show that matrix product transfer (MPS-TM)—a central object computation functions—provides important information about location magnitude minima relation(s), present supporting numerical data for one-dimensional lattice continuum models as well two-dimensional on a cylinder. elaborate peculiar structure MPS-TM's eigenspectrum give several arguments close spectrum system form functions. Finally, discuss how MPS-TM connects exact model at zero temperature. renormalization group argument obtaining finite bond dimension approximations MPS, which allows one reinterpret variational MPS techniques (such density group) an application Wilson's along virtual (imaginary time) system.