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Are the Tonks regimes in the continuum and on the lattice truly equivalent?

M. A. Cazalilla
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Abstract

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 of the lattice. It is found that this function saturates to a constant value with increasing temperature. Furthermore, the parameter that characterizes the long-distance correlations in the lattice Tonks regime is also obtained, showing that on the lattice the long-distance correlations enter the Tonks regime more rapidly than in the continuum.

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M. A. Cazalilla. 2004-07-04. Are the Tonks regimes in the continuum and on the lattice truly equivalent?. https://doi.org/10.1103/physreva.70.041604

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