Vibrational Entanglement through the Lens of Quantum Information Measures

Abstract

We introduce a quantum information analysis of vibrational wave functions to understand complex vibrational spectra of molecules with strong anharmonic couplings and vibrational resonances. For this purpose, we define one- and two-modal entropies to guide the identification of strongly coupled vibrational modes and to characterize correlations within modal basis sets. We evaluate these descriptors for multi-configurational vibrational wave functions which we calculate with the n-mode vibrational density matrix renormalization group algorithm. Based on the quantum information measures, we present a vibrational entanglement analysis of the vibrational ground and excited states of CO2, which display strong anharmonic effects due to the symmetry-induced and accidental (near-) degeneracies. We investigate the entanglement signature of the Fermi resonance and discuss the maximally entangled state arising from the two degenerate bending modes.

arXiv comment23 pages, 3 figures, 1 ToC graphic

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Cited by in corpus (3)

• Benchmarking vibrational spectra: 5000 accurate eigenstates of acetonitrile using tree tensor network states
• QCMaquis 4.0: Multi-Purpose Electronic, Vibrational, and Vibronic Structure and Dynamics Calculations with the Density Matrix Renormalization Group
• N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics