Rényi entropy of the U(3) vibron model

E. Romera, R. del Real, M. Calixto, S. Nagy, A. Nagy

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)620-636
Number of pages17
JournalJournal of Mathematical Chemistry
Volume51
Issue number2
DOIs
Publication statusPublished - 2013

Fingerprint

Entropy
Variational Approximation
Control Parameter
Ground state
Parity
Ground State
Critical value
Critical point
Phase Transition
Phase transitions
Detector
Molecules
Detectors
Symmetry
Numerical Results
Approximation
Model

Keywords

  • Coherent states
  • Quantum phase transition
  • Rényi entropies
  • Variational approximation

ASJC Scopus subject areas

  • Chemistry(all)
  • Applied Mathematics

Cite this

Rényi entropy of the U(3) vibron model. / Romera, E.; del Real, R.; Calixto, M.; Nagy, S.; Nagy, A.

In: Journal of Mathematical Chemistry, Vol. 51, No. 2, 2013, p. 620-636.

Research output: Contribution to journalArticle

Romera, E, del Real, R, Calixto, M, Nagy, S & Nagy, A 2013, 'Rényi entropy of the U(3) vibron model', Journal of Mathematical Chemistry, vol. 51, no. 2, pp. 620-636. https://doi.org/10.1007/s10910-012-0106-7
Romera, E. ; del Real, R. ; Calixto, M. ; Nagy, S. ; Nagy, A. / Rényi entropy of the U(3) vibron model. In: Journal of Mathematical Chemistry. 2013 ; Vol. 51, No. 2. pp. 620-636.
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