In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas

Huber D, Hammer H-W, Volosniev A. 2019. In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas. Physical Review Research. 1(3), 033177.

Download
OA 2019_PhysRevResearch_Huber.pdf 1.37 MB [Published Version]

Journal Article | Published | English

Scopus indexed
Author
Huber, D.; Hammer, H.-W.; Volosniev, ArtemISTA

Corresponding author has ISTA affiliation

Department
Abstract
We investigate the ground-state energy of a one-dimensional Fermi gas with two bosonic impurities. We consider spinless fermions with no fermion-fermion interactions. The fermion-impurity and impurity-impurity interactions are modeled with Dirac delta functions. First, we study the case where impurity and fermion have equal masses, and the impurity-impurity two-body interaction is identical to the fermion-impurity interaction, such that the system is solvable with the Bethe ansatz. For attractive interactions, we find that the energy of the impurity-impurity subsystem is below the energy of the bound state that exists without the Fermi gas. We interpret this as a manifestation of attractive boson-boson interactions induced by the fermionic medium, and refer to the impurity-impurity subsystem as an in-medium bound state. For repulsive interactions, we find no in-medium bound states. Second, we construct an effective model to describe these interactions, and compare its predictions to the exact solution. We use this effective model to study nonintegrable systems with unequal masses and/or potentials. We discuss parameter regimes for which impurity-impurity attraction induced by the Fermi gas can lead to the formation of in-medium bound states made of bosons that repel each other in the absence of the Fermi gas.
Publishing Year
Date Published
2019-12-16
Journal Title
Physical Review Research
Publisher
American Physical Society
Volume
1
Issue
3
Article Number
033177
ISSN
IST-REx-ID

Cite this

Huber D, Hammer H-W, Volosniev A. In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas. Physical Review Research. 2019;1(3). doi:10.1103/physrevresearch.1.033177
Huber, D., Hammer, H.-W., & Volosniev, A. (2019). In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas. Physical Review Research. American Physical Society. https://doi.org/10.1103/physrevresearch.1.033177
Huber, D., H.-W. Hammer, and Artem Volosniev. “In-Medium Bound States of Two Bosonic Impurities in a One-Dimensional Fermi Gas.” Physical Review Research. American Physical Society, 2019. https://doi.org/10.1103/physrevresearch.1.033177.
D. Huber, H.-W. Hammer, and A. Volosniev, “In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas,” Physical Review Research, vol. 1, no. 3. American Physical Society, 2019.
Huber D, Hammer H-W, Volosniev A. 2019. In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas. Physical Review Research. 1(3), 033177.
Huber, D., et al. “In-Medium Bound States of Two Bosonic Impurities in a One-Dimensional Fermi Gas.” Physical Review Research, vol. 1, no. 3, 033177, American Physical Society, 2019, doi:10.1103/physrevresearch.1.033177.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
Main File(s)
Access Level
OA Open Access
Date Uploaded
2019-12-18
MD5 Checksum
382eb67e62a77052a23887332d363f96


Export

Marked Publications

Open Data ISTA Research Explorer

Sources

arXiv 1908.02483

Search this title in

Google Scholar