Coherence and correlation properties of a one-dimensional attractive Fermi gas

Abstract

A recently developed quantum Monte Carlo algorithm based on the stochastic evolution of Hartree–Fock states has been applied to compute the static correlation functions of a one-dimensional model of attractively interacting two component fermions. The numerical results have been extensively compared to existing approximate approaches. The crossover to a condensate of pairs can be identified as the first-order pair coherence extending throughout the whole size of the system. The possibility of revealing the onset of the transition with other observables such as the density–density correlations or the second-order momentum space correlations is discussed.