Rényi entropy of the U(3) vibron model
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- Romera, E., del Real, R., Calixto, M. et al. J Math Chem (2013) 51: 620. doi:10.1007/s10910-012-0106-7
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Rényi entropies and variances are determined in the vibron model. They provide a sharp detector for the quantum (shape) phase transition (from linear to bent) at the critical value ξc of a control parameter ξ. Numerical results are complemented and compared with a variational approximation in terms of parity-symmetry-adapted coherent (Schödinger’s catlike) states, which provide a good approximation to describe delocalization properties of the ground state of vibron models across the critical point for N-size molecules.