• DOI:10.1088/1367-2630/ABB386
• Corpus ID: 215754388

Variational ansatz for p-wave fermions confined in a one-dimensional harmonic trap

@article{Koscik2020VariationalAF,
  title={Variational ansatz for p-wave fermions confined in a one-dimensional harmonic trap},
  author={Przemyslaw Ko'scik and Tomasz Sowi'nski},
  journal={arXiv: Quantum Gases},
  year={2020}
}

• Przemyslaw Ko'scik, T. Sowi'nski
• Published 14 April 2020
• Physics
• arXiv: Quantum Gases

We propose a very accurate and efficient variational scheme for the ground state of the system of $p$-wave attractively interacting fermions confined in a one-dimensional harmonic trap. By the construction, the method takes the non-analytical part of interactions exactly into account and thus it approximates the true ground-state wave function in a whole range of interactions very accurately. Within the method, we determine different properties of the system for a different number of particles and different interactions. In this way, we explore how the system and its features transit from the ideal non-interacting Fermi gas to the system of infinitely strong attractions. Additionally, we demonstrate that the ansatz may also be used on a repulsive branch of interactions where other numerical methods break down. The presented method of including zero-range interactions is very universal and may be easily generalized to other one-dimensional confinements.