English

Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap

Quantum Gases 2019-08-20 v2 Quantum Physics

Abstract

Exactly solvable model of two Rydberg-dressed atoms moving in a quasi-two-dimensional harmonic trap is introduced and its properties are investigated. Depending on the strength of inter-particle interactions and the critical range of the potential, the two-particle eigenstates are classified with respect to the excitations of the center-of-mass motion, relative angular momentum, and relative distance variable. Having these solutions in hand, we discuss inter-particle correlations as functions of interaction parameters. We also present a straightforward prescription of how to generalize obtained solutions to higher dimensions.

Keywords

Cite

@article{arxiv.1904.07009,
  title  = {Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap},
  author = {Przemysław Kościk and Tomasz Sowiński},
  journal= {arXiv preprint arXiv:1904.07009},
  year   = {2019}
}