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- Title
Lattice Monte Carlo simulations with two impurity worldlines.
- Authors
Hildenbrand, Fabian; Elhatisari, Serdar; Lähde, Timo A.; Lee, Dean; Meißner, Ulf-G.
- Abstract
We develop the impurity lattice Monte Carlo formalism for the case of two distinguishable impurities in a bath of polarized fermions. The majority particles are treated as explicit degrees of freedom, while the impurities are described by worldlines. The latter serve as localized auxiliary fields, which affect the majority particles. We apply the method to non-relativistic three-dimensional systems of two impurities and a number of majority particles where both the impurity–impurity interaction and the impurity–majority interaction have zero range. We consider the case of an attractive impurity–majority interaction, and we study the formation and disintegration of bound states as a function of the impurity–impurity interaction strength. We also discuss the potential applications of this formalism to other quantum many-body systems.
- Subjects
BOUND states; DEGREES of freedom; MONTE Carlo method
- Publication
European Physical Journal A -- Hadrons & Nuclei, 2022, Vol 58, Issue 9, p1
- ISSN
1434-6001
- Publication type
Article
- DOI
10.1140/epja/s10050-022-00821-8