Excited-state quantum phase transitions in systems with two degrees of freedom. III. Interacting boson systems

Michal MacEk, Pavel Stránský, Amiram Leviatan, Pavel Cejnar

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The series of articles [Ann. Phys. 345, 73 (2014)10.1016/j.aop.2014.03.006 and Ann. Phys. 356, 57 (2015)10.1016/j.aop.2015.02.025] devoted to excited-state quantum phase transitions (ESQPTs) in systems with f=2 degrees of freedom is continued by studying the interacting boson model of nuclear collective dynamics as an example of a truly many-body system. The intrinsic Hamiltonian formalism with angular momentum fixed to L=0 is used to produce a generic first-order ground-state quantum phase transition with an adjustable energy barrier between the competing equilibrium configurations. The associated ESQPTs are shown to result from various classical stationary points of the model Hamiltonian, whose analysis is more complex than in previous cases because of (i) a nontrivial decomposition to kinetic and potential energy terms and (ii) the boundedness of the associated classical phase space. Finite-size effects resulting from a partial separability of both degrees of freedom are analyzed. The features studied here are inherent in a great majority of interacting boson systems.

Original languageAmerican English
Article number064323
JournalPhysical Review C
Issue number6
StatePublished - 21 Jun 2019

Bibliographical note

Funding Information:
M.M. thanks F. Iachello for insightful discussions and acknowledges support by the Czech MEYS Project No. RVO:68081731. P.S. and P.C. acknowledge funding by the Charles University Project No. UNCE/SCI/013. A.L. appreciates support by the Israel Science Foundation.

Publisher Copyright:
© 2019 American Physical Society.


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