Relaxation of the order-parameter statistics in the Ising quantum chain

Relaxation of the order-parameter statistics in the Ising quantum chain

Blog Article

We study the out-of-equilibrium probability distribution function of the local order parameter in the transverse field Ising quantum chain.Starting Wooden Car from a fully polarised state, the relaxation of the ferromagnetic order is analysed: we obtain a full analytical description of the late-time stationary distribution by means of a remarkable relation to the partition function of a 3-states classical model.Accordingly, depending on the phase whereto the post-quench Hamiltonian belongs, the probability distribution may locally retain memories of the initial long-range order.When quenching deep in the broken-symmetry phase, we show that the stationary order-parameter statistics is indeed related to that of the ground state.

We highlight this connection by inspecting the ground-state equilibrium properties, where we propose Drinks an effective description based on the block-diagonal approximation of the $n$-point spin correlation functions.