Diagrammatic Monte Carlo Approach to Angular Momentum in Quantum Many-Particle Systems

We introduce a diagrammatic Monte Carlo approach to angular momentum properties of quantum many-particle systems possessing a macroscopic number of degrees of freedom. The treatment is based on a diagrammatic expansion that merges the usual Feynman diagrams with the angular momentum diagrams known f...

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Bibliographic Details
Published in:Physical review letters 2018-10, Vol.121 (16), p.165301-165301, Article 165301
Main Authors: Bighin, G, Tscherbul, T V, Lemeshko, M
Format: Article
Language:English
Subjects:
Angular momentum
Atomic structure
Computer simulation
Coupling
Feynman diagrams
Green's functions
Nuclear structure
Size effects
Systematic errors
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Summary:We introduce a diagrammatic Monte Carlo approach to angular momentum properties of quantum many-particle systems possessing a macroscopic number of degrees of freedom. The treatment is based on a diagrammatic expansion that merges the usual Feynman diagrams with the angular momentum diagrams known from atomic and nuclear structure theory, thereby incorporating the non-Abelian algebra inherent to quantum rotations. Our approach is applicable at arbitrary coupling, is free of systematic errors and of finite-size effects, and naturally provides access to the impurity Green function. We exemplify the technique by obtaining an all-coupling solution of the angulon model; however, the method is quite general and can be applied to a broad variety of systems in which particles exchange quantum angular momentum with their many-body environment.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.121.165301