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

Matteo Sighinolfi, Davide De Boni, Alessandro Roggero, Giovanni Garberoglio, Pietro Faccioli, and Alessio Recati
Phys. Rev. A 105, 043308 – Published 11 April 2022

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.

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  • Received 24 November 2021
  • Accepted 28 March 2022

DOI:https://doi.org/10.1103/PhysRevA.105.043308

©2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Matteo Sighinolfi1,2,*, Davide De Boni2, Alessandro Roggero2,3, Giovanni Garberoglio4,3, Pietro Faccioli2,3, and Alessio Recati1,2,3

  • 1INO-CNR BEC Center, I-38123 Trento, Italy
  • 2Dipartimento di Fisica, Università di Trento, I-38123 Trento, Italy
  • 3Trento Institute for Fundamental Physics and Applications, INFN, I-38123 Trento, Italy
  • 4European Centre for Theoretical Studies in Nuclear Physics and Related Areas (FBK-ECT*), I-38123 Trento, Italy

  • *matteo.sighinolfi@unitn.it

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Issue

Vol. 105, Iss. 4 — April 2022

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