Time-dependent coupled-cluster method for atomic nuclei

D. A. Pigg, G. Hagen, H. Nam, and T. Papenbrock
Phys. Rev. C 86, 014308 – Published 3 July 2012

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, J. Chem. Phys. 136, 194109 (2012)], 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 4He and 16O in small model spaces, and computations of the Lipkin model illustrate the capabilities of the method.

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  • Received 17 May 2012

DOI:https://doi.org/10.1103/PhysRevC.86.014308

©2012 American Physical Society

Authors & Affiliations

D. A. Pigg1,2, G. Hagen2,3, H. Nam4, and T. Papenbrock2,3

  • 1Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
  • 2Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 3Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
  • 4National Center for Computational Sciences Division, Oak Ridge Leadership Computing Facility, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA

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Vol. 86, Iss. 1 — July 2012

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