Energy contribution of a point-interacting impurity in a Fermi gas

T. Moser, R. Seiringer, Annales Henri Poincare (2019).

Download
OA 859.85 KB

Journal Article | Epub ahead of print | English
Department
Abstract
We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system.
Publishing Year
Date Published
2019-01-08
Journal Title
Annales Henri Poincare
ISSN
IST-REx-ID

Cite this

Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 2019. doi:10.1007/s00023-018-00757-0
Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. https://doi.org/10.1007/s00023-018-00757-0
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, 2019. https://doi.org/10.1007/s00023-018-00757-0.
T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, 2019.
Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare.
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, Springer, 2019, doi:10.1007/s00023-018-00757-0.
All files available under the following license(s):
Creative Commons License:
CC-BYCreative Commons Attribution 4.0 International Public License (CC-BY 4.0)
Main File(s)
File Name
Access Level
OA Open Access
Last Uploaded
2019-01-28T15:27:17Z


Material in IST:
Dissertation containing IST record

Export

Marked Publications

Open Data IST Research Explorer

Sources

arXiv 1807.00739

Search this title in

Google Scholar