High-accuracy ab-initio quantum chemistry by means of an SU(2) x U(1)
invariant matrix product state Ansatz: the static second hyperpolarizability
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abstract
We have implemented the single-site density matrix renormalization group
algorithm for the variational optimization of SU(2) \times U(1) (spin and
particle number) invariant matrix product states for general spin and particle
number symmetric fermionic Hamiltonians. This class also includes
non-relativistic quantum chemical systems within the Born-Oppenheimer
approximation. High-accuracy ab-initio finite field results of the longitudinal
static polarizabilities and second hyperpolarizabilities of one-dimensional
hydrogen chains are obtained with the algorithm. A comparison with other
methods is made.