Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories

Abstract

This article continues our previous study of level dynamics in the [O(6)-U(5)]$\supset$O(5) transition of the interacting boson model [nucl-th/0504016] using the semiclassical theory of spectral fluctuations. We find classical monodromy, related to a singular bundle of orbits with infinite period at energy E=0, and bifurcations of numerous periodic orbits for E>0. The spectrum of allowed ratios of periods associated with beta- and gamma-vibrations exhibits an abrupt change around zero energy. These findings explain anomalous bunching of quantum states in the E$\approx$0 region, which is responsible for the redistribution of levels between O(6) and U(5) multiplets.

arXiv comment11 pages, 7 figures; continuation of nucl-th/0504016

References in corpus (3)

• Bifurcations of Periodic Orbits and Uniform Approximations
• Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics
• Uniform Approximation for Period-Quadrupling Bifurcations

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• Decoherence as a signature of an excited state quantum phase transition
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• Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics
• Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
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• Monodromy in Dicke superradiance
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
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