Locality estimates for complex-time evolution in 1D
Abstract: For one dimensional quantum spin systems with nite-range interactions, Araki
(1969) proved that the in nite volume time-evolution of a local observable is
analytic on the complex plane and satis es a locality property in the spirit of
Lieb-Robinson bounds. We discuss an extension of this result to a more general
class of interactions (e.g., with exponential decay) and its application to the
spectral gap problem for parent Hamiltonian of PEPS and to the study of the
exponential clustering property for thermal states.