Effect of suddenly turning on interactions in the Luttinger model.

摘要: The evolution of correlations in the exactly solvable Luttinger model (a interacting fermions one dimension) after a suddenly switched-on interaction is analytically studied. When defined on finite-size ring, zero-temperature are periodic time. However, thermodynamic limit, system relaxes algebraically towards stationary state which well described, at least for some simple correlation functions, by generalized Gibbs ensemble recently introduced Rigol et al. (cond-mat/0604476). critical exponent that characterizes decay one-particle function different from known equilibrium exponents. Experiments these results can be relevant also discussed.