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arXiv · 0712.2380

A variational Jastrow coupled-cluster theory of quantum many-body systems

Y. Xian
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Abstract

We study many-body correlations in the ground states of a general quantum system of bosons or fermions by including an additional Jastrow function in our ecently proposed variational coupled-cluster method. Our approach combines the dvantages of state-dependent correlations in the coupled-cluster theory and of strong, short-ranged correlations of the Jastrow function. We apply a generalized linked-cluster expansion for the Jastrow wavefunction and provide detailed analysis for practical evaluation of Hamiltonian expectation value as an energy functional of the Jastrow function and the bare density-distribution functions introduced and calculated in our earlier publications; a simple, first-order energy functional is derived and detailed formulas for higher-order contributions are provided. Our energy functional does not suffer the divergence as in most coupled-cluster calculations when applying to Hamiltonians with hardcore potentials. We also discuss relations between our energy functional and the energy functionals from other theories.

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Y. Xian. 2007-12-14. A variational Jastrow coupled-cluster theory of quantum many-body systems. https://doi.org/10.1103/physreva.77.042103

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