Physics – Condensed Matter
Scientific paper
2003-04-07
Physics
Condensed Matter
4 pages, 3 figures, misprints corrected
Scientific paper
10.1103/PhysRevLett.91.110401
We analyze the macroscopic dynamics of a Bose gas in a harmonic trap with a superimposed two-dimensional optical lattice, assuming a weak coupling between different lattice sites. We consider the situation in which the local chemical potential at each lattice site can be considered as that provided by the Lieb-Liniger solution. Due to the weak coupling between sites and the form of the chemical potential, the three-dimensional ground-state density profile and the excitation spectrum acquire remarkable properties different from both 1D and 3D gases. We call this system a quasi-Tonks gas. We discuss the range of applicability of this regime, as well as realistic experimental situations where it can be observed.
Pedri Paolo
Santos Laércio
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