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Complexity measure and quantum shape-phase transitions in the two-dimensional limit of the vibron model

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Abstract

We obtain a characterization of quantum shape-phase transitions in the terms of complexity measures in the two-dimensional limit of the vibron model based on the spectrum generating algebra U(3). Complexity measures (in terms of the Rényi entropies) have been calculated for different values of the control parameter for the ground state of this model giving sharp signatures of the quantum shape-phase transition from linear to bent molecules.

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Acknowledgments

This work was supported by the projects FIS2011-24149, FIS2011-29813-C02-01 (Spanish MICINN), FQM.1861 (Junta de Andalucía) and CEI-BIOTIC project P-V-8 and PP2012-PI04 (Universidad de Granada). The work was also supported by the Hungarian Social Renewal Operational Program (TAMOP 4.2.2.A-11/1/KONV-2012-0036). The project was co-financed by the European Union and the European Social Fund. Grant from the Hungarian Scientific Research Fund (OTKA No. K100590) is also gratefully acknowledged.

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Authors and Affiliations

  1. Instituto Carlos I de Fisica Teorica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071, Granada, Spain

    Elvira Romera

  2. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, Fuentenueva s/n, 18071, Granada, Spain

    Elvira Romera

  3. Departamento de Matematica Aplicada, Universidad de Granada, Fuentenueva s/n, 18071, Granada, Spain

    Manuel Calixto

  4. Department of Theoretical Physics, University of Debrecen, 4010, Debrecen, Hungary

    Ágnes Nagy

Authors
  1. Elvira Romera
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  2. Manuel Calixto
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  3. Ágnes Nagy
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Correspondence to Elvira Romera.

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This paper belongs to Topical Collection QUITEL 2013

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Romera, E., Calixto, M. & Nagy, Á. Complexity measure and quantum shape-phase transitions in the two-dimensional limit of the vibron model. J Mol Model 20, 2237 (2014). https://doi.org/10.1007/s00894-014-2237-1

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  • DOI: https://doi.org/10.1007/s00894-014-2237-1

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