122 citations · 414 across the 20 of their papers we have counts for
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Order, Chaos and (Quasi-) Dynamical Symmetries across 1st-order Quantum Phase Transitions in Nuclei
Michal Macek, Pavel Cejnar, Pavel Stránský +2
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 H…
Symmetry Remnants in the Face of Competing Interactions in Nuclei
A. Leviatan, M. Macek
Detailed description of nuclei necessitates model Hamiltonians which break most dynamical symmetries. Nevertheless, generalized notions of partial and quasi dynamical symmetries ma…
First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
M. Macek, A. Leviatan
We present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT). The i…
Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition
A. Leviatan, M. Macek
We study the competing order and chaos in a first-order quantum phase transition with a high barrier. The boson model Hamiltonian employed, interpolates between its U(5) (spherical…
Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei
A. Leviatan, M. Macek
We study the nature of the dynamics in a first-order quantum phase transition between spherical and prolate-deformed nuclear shapes. Classical and quantum analyses reveal a change…
Regular and chaotic classical dynamics in the U(5)-SU(3) quantum phase transition of the IBM
M. Macek, A. Leviatan
We study the classical dynamics in a generic first-order quantum phase transition between the U(5) and SU(3) limits of the interacting boson model. The dynamics is chaotic, of Héno…
Evolution of order and chaos across a first-order quantum phase transition
A. Leviatan, M. Macek
We study the evolution of the dynamics across a generic first order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence regi…
Coexistence of order and chaos at critical points of first-order quantum phase transitions in nuclei
M. Macek, A. Leviatan
We study the interplay between ordered and chaotic dynamics at the critical point of a generic first-order quantum phase transition in the interacting boson model of nuclei. Classi…
Regularity and chaos at critical points of first-order quantum phase transitions
M. Macek, A. Leviatan
We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei. A class…
Peres lattices in nuclear structure
Michal Macek, Pavel Stránský, Pavel Cejnar
A method by Peres is used to draw spectra of the interacting boson model as lattices in the plane of energy versus an arbitrary observable average (or variance). Ordered (disordere…
Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories
Michal Macek, Pavel Cejnar, Jan Jolie +1
This article continues our previous study of level dynamics in the [O(6)-U(5)]O(5) transition of the interacting boson model [nucl-th/0504016] using the semiclassical theo…
Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics
Stefan Heinze, Pavel Cejnar, Jan Jolie +1
We investigate the evolution of quantal spectra and the corresponding wave functions along the [O(6)-U(5)]O(5) transition of the interacting boson model. The model is inte…