English

One-dimensional Fermi polaron in a combined harmonic and periodic potential

Quantum Gases 2014-05-21 v2 Quantum Physics

Abstract

We study an impurity in a one-dimensional potential consisting of a harmonic and a periodic part using both the time-evolving block decimation (TEBD) algorithm and a variational ansatz. Attractive and repulsive contact interactions with a sea of fermions are considered. We find excellent agreement between TEBD and variational results and use the variational ansatz to investigate higher lattice bands. We conclude that the lowest band approximation fails at sufficiently strong interactions and develop a new method for computing the Tan contact parameter.

Keywords

Cite

@article{arxiv.1401.6353,
  title  = {One-dimensional Fermi polaron in a combined harmonic and periodic potential},
  author = {Elmer V. H. Doggen and Anna Korolyuk and Päivi Törmä and Jami J. Kinnunen},
  journal= {arXiv preprint arXiv:1401.6353},
  year   = {2014}
}

Comments

7 pages including an appendix, 2 figures