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Spin and charge dynamics for the one-dimensional t-J model.

The dynamic spin and charge correlation functions are computed for the one-dimensional t-J model with use of world-line quantum Monte Carlo and the maximum-entropy method. By comparing our results with exactly known limits, we are able to discern the power and limitations of this method. The spin excitation spectrum shows gapless spin excitations for q=2k F when J≤2t and for q=π when J>3.25t where phase separation occurs