Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-11-08
Phys. Rev. A 82, 065603 (2010)
Physics
Condensed Matter
Quantum Gases
5 pages, 3 PDF figures. Modifications to Fig. 1, experimental values. References added
Scientific paper
10.1103/PhysRevA.82.065603
We calculate the first-order perturbation correction to the ground state energy and chemical potential of a harmonically trapped boson gas with contact interactions about the infinite repulsion Tonks-Girardeau limit. With $c$ denoting the interaction strength, we find that for a large number of particles $N$ the $1/c$ correction to the ground state energy increases as $N^{5/2}$, in contrast to the unperturbed Tonks-Girardeau value that is proportional to $N^2$. We describe a thermodynamic scaling limit for the trapping frequency that yields an extensive ground state energy and reproduces the zero temperature thermodynamics obtained by a local density approximation.
Korepin Vladimir E.
Paraan Francis N. C.
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