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Ground-state properties of a Tonks-Girardeau gas in a periodic potential

Ground-state properties of a Tonks-Girardeau gas in a periodic potential

In this paper, we investigate the ground-state properties of a bosonic Tonks-Girardeau (TG) gas confined in a one-dimensional periodic potential. The single-particle reduced density matrix is computed numerically for systems up to $N=265$ bosons. Scaling analysis of the occupation number of the lowest orbital shows that there are no Bose-Einstein …