@article{bibcite_1142,
  author = {Francis N. C. Paraan and Vladimir E Korepin},
  title = {Perturbative correction to the ground-state properties of one-dimensional strongly interacting bosons in a harmonic trap},
  abstract = {<p>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 <em>c</em> denoting the interaction strength, we find that, for a large number of particles N, the 1/<em>c</em> correction to the ground-state energy increases as N<sup>5/2</sup>, in contrast to the unperturbed Tonks-Girardeau value that is proportional to N<sup>2</sup>. 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.</p>},
  year = {2010},
  journal = {Phys. Rev. A},
  volume = {82},
  number = {6},
  pages = {065603},
  url = {https://doi.org/10.1103/PhysRevA.82.065603},
  doi = {10.1103/PhysRevA.82.065603},
  note = {https://arxiv.org/abs/1011.1706},
}