Single hole dynamics in the one-dimensional t-J model

We present a new finite-temperature quantum Monte Carlo algorithm to comput e imaginary-time Green functions for a single hole in the t-J model on non- frustrated lattices. Spectral functions are obtained with the Maximum Entro py method. Simulations of the one-dimensional case show that a simple charg e-spin separation Ansatz is able to describe the overall features of the sp ectral function such as the bandwidth W similar to 4t + J and the compact s upport of the spectral function, over the whole energy range for values of J/t from 1/3 to 4. This is contrasted with the two-dimensional case. The qu asiparticle weight Z(k) is computed on lattices up to L = 128 sites in one dimension, and scales as Z(k) proportional to L-1/2.