@article{7190,
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.},
author = {Huber, D. and Hammer, H.-W. and Volosniev, Artem},
issn = {2643-1564},
journal = {Physical Review Research},
number = {3},
publisher = {APS},
title = {{In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas}},
doi = {10.1103/physrevresearch.1.033177},
volume = {1},
year = {2019},
}
@article{6955,
abstract = {We study few-body bound states of charged particles subject to attractive zero-range/short-range plus repulsive Coulomb interparticle forces. The characteristic length scales of the system at zero energy are set by the Coulomb length scale D and the Coulomb-modified effective range r eff. We study shallow bound states of charged particles with D >> r eff and show that these systems obey universal scaling laws different from neutral particles. An accurate description of these states requires both the Coulomb-modified scattering length and the effective range unless the Coulomb interaction is very weak (D -> ). Our findings are relevant for bound states whose spatial extent is significantly larger than the range of the attractive potential. These states enjoy universality – their character is independent of the shape of the short-range potential.},
author = {Schmickler, C.H. and Hammer, H.-W. and Volosniev, Artem},
issn = {0370-2693},
journal = {Physics Letters B},
publisher = {Elsevier},
title = {{Universal physics of bound states of a few charged particles}},
doi = {10.1016/j.physletb.2019.135016},
volume = {798},
year = {2019},
}