Abstract
We introduce the notion of intertwined quantum phase transitions (IQPTs), for which a crossing of two configurations coexists with a pronounced shape-evolution of each configuration. A detailed analysis in the framework of the interacting boson model with configuration mixing, provides evidence for this scenario inthe Zr isotopes. The latter exhibit a normal configuration which remains spherical along the chain, but exchanges roles with an intruder configuration, which undergoes first a spherical to prolate-deformed [U(5)→SU(3)] QPT and then a crossover to γ-unstable [SU(3)→SO(6)].
Highlights
Quantum phase transitions (QPTs) are qualitative changes in the properties of a physical system, induced by a variation of parameters that appear in the quantum Hamiltonian
We call for sake of clarity these phase transitions Type II [3], to distinguish them from those of a single configuration
Type II QPTs have been observed in nuclei near shell closure, e.g., in the light Pb-Hg isotopes [4], albeit with strong mixing between the two configurations
Summary
Quantum phase transitions (QPTs) are qualitative changes in the properties of a physical system, induced by a variation of parameters that appear in the quantum Hamiltonian. From neutron number 58, there is a pronounced drop in energy for the states of configuration B
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