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

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

2004-06-22

arxiv.org/abs/cond-mat/0406526v2

Phys. Rev. A 70, 041604(R) (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages + 1 EPS figure; v2: presentation improved (results and conclusions unchanged), references added, corrected typo

Scientific paper

10.1103/PhysRevA.70.041604

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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