Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei

M. Macek; P. Cejnar; P. Stránský; J. Dobeš; A. Leviatan

doi:10.1063/1.5124609

Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei

M. Macek^*, P. Cejnar, P. Stránský, J. Dobeš, A. Leviatan

^*Corresponding author for this work

Racah Institute of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

First order quantum phase transition (QPT) between spherical and axially deformed nuclei shows coexisting, but well-separated regions of regular and chaotic dynamics. We employ a Hamiltonian of the Arima-Iachello Interacting Boson Model (IBM) with an arbitrarily high potential barrier separating the phases. Classical and quantum analyses reveal markedly distinct behavior of the two phases: Deformed phase is completely regular, while the spherical phase shows highly chaotic dynamics, similar to the Hénon-Heiles system. Rotational bands with quasi-SU(3) characteristics built upon the regular vibrational spectrum of beta- and gamma-vibrations are observed in the deformed phase up to very high excitation energies.

Original language	American English
Title of host publication	Symmetries and Order
Subtitle of host publication	Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello
Editors	Reina Maruyama
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735418950
DOIs	https://doi.org/10.1063/1.5124609
State	Published - 3 Sep 2019
Event	Symmetries and Order: Algebraic Methods in Many-Body Systems - New Haven, United States Duration: 5 Oct 2018 → 6 Oct 2018

Publication series

Name	AIP Conference Proceedings
Volume	2150
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Symmetries and Order: Algebraic Methods in Many-Body Systems
Country/Territory	United States
City	New Haven
Period	5/10/18 → 6/10/18

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

Access to Document

10.1063/1.5124609

Cite this

Macek, M., Cejnar, P., Stránský, P., Dobeš, J., & Leviatan, A. (2019). Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei. In R. Maruyama (Ed.), Symmetries and Order: Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello Article 050001 (AIP Conference Proceedings; Vol. 2150). American Institute of Physics Inc.. https://doi.org/10.1063/1.5124609

Macek, M. ; Cejnar, P. ; Stránský, P. et al. / Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei. Symmetries and Order: Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello. editor / Reina Maruyama. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

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title = "Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei",

abstract = "First order quantum phase transition (QPT) between spherical and axially deformed nuclei shows coexisting, but well-separated regions of regular and chaotic dynamics. We employ a Hamiltonian of the Arima-Iachello Interacting Boson Model (IBM) with an arbitrarily high potential barrier separating the phases. Classical and quantum analyses reveal markedly distinct behavior of the two phases: Deformed phase is completely regular, while the spherical phase shows highly chaotic dynamics, similar to the H{\'e}non-Heiles system. Rotational bands with quasi-SU(3) characteristics built upon the regular vibrational spectrum of beta- and gamma-vibrations are observed in the deformed phase up to very high excitation energies.",

author = "M. Macek and P. Cejnar and P. Str{\'a}nsk{\'y} and J. Dobe{\v s} and A. Leviatan",

note = "Publisher Copyright: {\textcopyright} 2019 Author(s).; Symmetries and Order: Algebraic Methods in Many-Body Systems ; Conference date: 05-10-2018 Through 06-10-2018",

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Macek, M, Cejnar, P, Stránský, P, Dobeš, J & Leviatan, A 2019, Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei. in R Maruyama (ed.), Symmetries and Order: Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello., 050001, AIP Conference Proceedings, vol. 2150, American Institute of Physics Inc., Symmetries and Order: Algebraic Methods in Many-Body Systems, New Haven, United States, 5/10/18. https://doi.org/10.1063/1.5124609

Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei. / Macek, M.; Cejnar, P.; Stránský, P. et al.
Symmetries and Order: Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello. ed. / Reina Maruyama. American Institute of Physics Inc., 2019. 050001 (AIP Conference Proceedings; Vol. 2150).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - First order quantum phase transition (QPT) between spherical and axially deformed nuclei shows coexisting, but well-separated regions of regular and chaotic dynamics. We employ a Hamiltonian of the Arima-Iachello Interacting Boson Model (IBM) with an arbitrarily high potential barrier separating the phases. Classical and quantum analyses reveal markedly distinct behavior of the two phases: Deformed phase is completely regular, while the spherical phase shows highly chaotic dynamics, similar to the Hénon-Heiles system. Rotational bands with quasi-SU(3) characteristics built upon the regular vibrational spectrum of beta- and gamma-vibrations are observed in the deformed phase up to very high excitation energies.

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Macek M, Cejnar P, Stránský P, Dobeš J, Leviatan A. Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei. In Maruyama R, editor, Symmetries and Order: Algebraic Methods in Many Body Systems - A Symposium in Celebration of the Career of Professor Francesco Iachello. American Institute of Physics Inc. 2019. 050001. (AIP Conference Proceedings). doi: 10.1063/1.5124609

Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei

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