A nonorthogonal state-interaction approach for matrix product state wave functions

Abstract

We present a state-interaction approach for matrix product state (MPS) wave functions in a nonorthogonal molecular orbital basis. Our approach allows us to calculate for example transition and spin-orbit coupling matrix elements between arbitrary electronic states provided that they share the same one-electron basis functions and active orbital space, respectively. The key element is the transformation of the MPS wave functions of different states from a nonorthogonal to a biorthonormal molecular orbital basis representation exploiting a sequence of non-unitary transformations following a proposal by Malmqvist (Int. J. Quantum Chem. 30, 479 (1986)). This is well-known for traditional wave-function parametrizations but has not yet been exploited for MPS wave functions.

34 pages, 1 figure, submitted to J. Chem. Theory Comput

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• The density-matrix renormalization group in the age of matrix product states
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Cited by in corpus (1)

• Multi-reference perturbation theory with Cholesky decomposition for the density matrix renormalization group