Stochastic dynamics and bound states of heavy impurities in a Fermi bath

Year: 2022

Authors: Sighinolfi M., De Boni D., Roggero A., Garberoglio G., Faccioli P., Recati A.

Autors Affiliation: INO-CNR BEC Center, Trento, I-38123, Italy; Dipartimento di Fisica, Universita di Trento, Trento, I-38123, Italy; Trento Institute for Fundamental Physics and Applications, INFN, Trento, I-38123, Italy; European Centre for Theoretical Studies in Nuclear Physics and Related Areas (FBK-ECT*), Trento, I-38123, Italy

Abstract: We investigate the dynamics of heavy impurities embedded in an ultracold Fermi gas by using a generalized Langevin equation. The latter – derived by means of influence functional theory – describes how the stochastic classical dynamics of the impurities and the quantum nature of the fermionic bath manifests in the emergent interaction between the impurities and in the viscosity tensor. By focusing on the two-impurity case, we predict the existence of bound states, in different conditions of coupling and temperature, whose lifetime can be analytically estimated. Our predictions should be testable using cold-gases platforms within current technology.


Volume: 105 (4)      Pages from: 043308-1  to: 043308-10

More Information: We thank J. P. Blaizot for useful discussions. Financial support from the Italian MIUR under the PRIN2017 project CEnTraL (Protocol No. 20172H2SC4), from the Provincia Autonoma di Trento, and from Q@TN, the joint laboratory between University of Trento, Fondazione Bruno Kessler (FBK), National Institute for Nuclear Physics (INFN), and National Research Council (CNR), is acknowledged.
KeyWords: Fermi gases; quantum field theory
DOI: 10.1103/PhysRevA.105.043308