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Differences between the Tonks regimes in the continuum and on the lattice

Differences between the Tonks regimes in the continuum and on the lattice

Motivated by recent experiments, we compare the Tonks (i.e., hard-core boson gas) regime achieved in an optical lattice with the Tonks regime of a one-dimensional Bose gas in the continuum. For the lattice gas, we compute the local (i.e., on-site) two-body correlations as a function of temperature and the filling …