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EPJ PLUS - Condensed Matter and Complex Systems

EPJ A Highlight - Automated symmetry adaption in nuclear many-body theory

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Published on 10 December 2020
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Symmetry reduction process of a prototypical many-body expression leading to an equivalent symmetry-reduced form. Recoupling coefficients arising from the AMC program are shown in red.

The extreme cost of solving the A-nucleon Schrödinger equation can be minimized by leveraging rotational symmetry and, thus, enable the computation of observables in heavy nuclei and/or with high precision.

The associated reduction process, which amounts to re-expressing the working equations in terms of rotationally-invariant objects, requires lengthy symbolic manipulations of elaborate algebraic identities.

For the first time, this involved process is automated by a powerful graph-theory-based tool, the AMC code, which condenses months of error-prone derivations into a simple computational task performed within seconds.

The AMC program tightens the gap for a full automation of the many-body workflow, thereby lowering the time required to build and test novel quantum many-body formalisms.

A. Tichai, R. Wirth, J. Ripoche and T. Duguet. Symmetry reduction of tensor networks in many-body theory. Eur. Phys. J. A 56, 272 (2020). https://doi.org/10.1140/epja/s10050-020-00233-6

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B. Fraboni and G. García López
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The authors wish to thank the anonymous reviewers for their helpful comments and suggestions. They are also grateful to EPJP for their corrections pertaining to the English language.

E. Tala-Tebue, University of Dschang, Bandjoun, Cameroon

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