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

G. Bighin, T. Tscherbul, M. Lemeshko, Physical Review Letters 121 (2018) 165301.


Journal Article | Published | English
Department
Abstract
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.
Publishing Year
Date Published
2018-10-16
Journal Title
Physical Review Letters
Volume
121
Issue
16
Article Number
165301
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Cite this

Bighin G, Tscherbul T, Lemeshko M. Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems. Physical Review Letters. 2018;121(16):165301. doi:10.1103/physrevlett.121.165301
Bighin, G., Tscherbul, T., & Lemeshko, M. (2018). Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems. Physical Review Letters, 121(16), 165301. https://doi.org/10.1103/physrevlett.121.165301
Bighin, Giacomo, Timur Tscherbul, and Mikhail Lemeshko. “Diagrammatic Monte Carlo Approach to Angular Momentum in Quantum Many-Particle Systems.” Physical Review Letters 121, no. 16 (2018): 165301. https://doi.org/10.1103/physrevlett.121.165301.
G. Bighin, T. Tscherbul, and M. Lemeshko, “Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems,” Physical Review Letters, vol. 121, no. 16, p. 165301, 2018.
Bighin G, Tscherbul T, Lemeshko M. 2018. Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems. Physical Review Letters. 121(16), 165301.
Bighin, Giacomo, et al. “Diagrammatic Monte Carlo Approach to Angular Momentum in Quantum Many-Particle Systems.” Physical Review Letters, vol. 121, no. 16, APS, 2018, p. 165301, doi:10.1103/physrevlett.121.165301.

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