Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems

Abstract

We introduce a Diagrammatic Monte Carlo (DiagMC) 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.

arXiv comment6+5 pages, 2+2 figures, accepted for publication in Phys. Rev. Lett

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Cited by in corpus (13)

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• Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon
• Quantum groups as hidden symmetries of quantum impurities
• Intermolecular forces and correlations mediated by a phonon bath
• A simple model for high rotational excitations of molecules in a superfluid
• Variational theory of angulons and their rotational spectroscopy
• Rotational cooling of molecules in a Bose-Einstein-Condensate
• Synthetic spin-orbit coupling mediated by a bosonic environment
• Rotation quenches in trapped bosonic systems
• Evaluating second-order phase transitions with Diagrammatic Monte Carlo: Néel Transition in the doped three-dimensional Hubbard model
• Diagrammatic Monte Carlo for electronic correlation in molecules: high-order many-body perturbation theory with low scaling