Magnetic impurity in a one-dimensional few-fermion system
Quantum Gases
2023-01-25 v1 Superconductivity
Nuclear Theory
Abstract
We present a numerical analysis of spin- fermions in a one-dimensional harmonic potential in the presence of a magnetic point-like impurity at the center of the trap. The model represents a few-body analogue of a magnetic impurity in the vicinity of an -wave superconductor. Already for a few particles we find a ground-state level crossing between sectors with different fermion parities. We interpret this crossing as a few-body precursor of a quantum phase transition, which occurs when the impurity `breaks' a Cooper pair. This picture is further corroborated by analyzing density-density correlations in momentum space. Finally, we discuss how the system may be realized with existing cold-atoms platforms.
Cite
@article{arxiv.2204.01606,
title = {Magnetic impurity in a one-dimensional few-fermion system},
author = {Lukas Rammelmüller and David Huber and Matija Čufar and Joachim Brand and Hans-Werner Hammer and Artem G. Volosniev},
journal= {arXiv preprint arXiv:2204.01606},
year = {2023}
}
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