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N-Representability Violations in Truncated Equation-of-Motion Coupled-Cluster Methods

2023/05/10 by Stephen H. Yuwono, Yuwono, Stephen H., A. Eugene DePrince +1 · 1 citation
Engineering · Physics and Astronomy · #Advanced Chemical Physics Studies #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Perovskite Materials and Applications #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.2305.06457

openalex publication_date 2023/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

One-electron reduced density matrices (1RDMs) from equation-of-motion (EOM) coupled-cluster with single and double excitations (CCSD) calculations are analyzed to assess their N-representability (\em i.e., whether they are derivable from an physical N-electron state). We identify EOM-CCSD stationary states whose 1RDMs violate either ensemble-state N-representability conditions or pure-state conditions known as generalized Pauli constraints (GPCs). As such, these 1RDMs do not correspond to any physical N-electron state. Unphysical states are also encountered in the course of time-dependent EOM-CC simulations; when an external field drives transitions between a pair of stationary states with pure-state N-representable 1RDMs, the 1RDM of the time-dependent state can violate ensemble-state conditions. These observations point to potential challenges in interpreting the results of time-dependent EOM-CCSD simulations.

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