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arXiv · 1205.4002

Time-dependent coupled-cluster method for atomic nuclei

D. A. Pigg·G. Hagen·H. Nam·T. Papenbrock
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Abstract

We study time-dependent coupled-cluster theory in the framework of nuclear physics. Based on Kvaal's bi-variational formulation of this method [S. Kvaal, arXiv:1201.5548], we explicitly demonstrate that observables that commute with the Hamiltonian are conserved under time evolution. We explore the role of the energy and of the similarity-transformed Hamiltonian under real and imaginary time evolution and relate the latter to similarity renormalization group transformations. Proof-of-principle computations of He-4 and O-16 in small model spaces, and computations of the Lipkin model illustrate the capabilities of the method.

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D. A. Pigg, G. Hagen, H. Nam, T. Papenbrock. 2012-05-17. Time-dependent coupled-cluster method for atomic nuclei. https://doi.org/10.1103/physrevc.86.014308

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