The Heisenberg Model after an Interaction Quench

Abstract

In accordance with the recent experimental progress of the controllable spin-spin interactions, the Heisenberg model after an interaction quench is discussed. The Hamiltonian of the system out of equilibrium is introduced and treated by the flow equation method. As a result, the spectrum and zero-point spin deviation are obtained with the help of time-evolved operators. Additionally, other methods are applied to verify the results in mathematics. It is found that the observables show an oscillating behavior. The feasible experimental scheme of the concerned scenario is also mentioned.

Density-Density Propagator of the Luttinger Model of Spin-Half Fermions after an Interaction Quench

“…It was found that the deviation from the correlations in equilibrium comes from its initial state in maths. [22] In this paper, we continue the exploration of the influence of initial stats on the nonequilibrium system by analyzing the density-density propagator. After analyzing the propagator mathematically and physically, we find that time-dependent quanti-ties of the nonequilibrium system save strong memory of the initial state and the effects of right-left interactions are counteracted each other in the total density-density propagator.…”