Ground-state preparation of arbitrarily multipartite Dicke states in the one-dimensional ferromagnetic spin-(1/2) chain

The preparation of arbitrary N-particle Dicke states in a one-dimensional N-qubit chain with nearest-neighbor XXZ interaction is investigated. We show by perturbation approach that each of the N+1 Dicke states can be approximately created as the nondegenerate ground state of the system when suitable external magnetic field and inter-qubit coupling are applied. In some small N situations, the perturbative results agree very well with the exact solutions. We further demonstrate by numerical methods that the proposed ground-state preparation of the Dicke states is robust against the finite temperature in the N=4 case. We also discuss the feasibility of our scheme in several physical systems including semiconductor quantum dots and an optical lattice.