Signatures of criticality in the evolution of the nuclear ground-state shapes across the N× Z
plane are discussed. Attention is paid to specific data indicating sudden structural changes …

This review is focused on various properties of quantum phase transitions (QPTs) in the
Interacting Boson Model (IBM) of nuclear structure. The model describes collective modes of …

The analysis of shape transitions in Nd isotopes, based on the framework of relativistic
energy-density functionals and restricted to axially symmetric shapes in T. Nikšić, D …

This overview discusses the evolution of collectivity in atomic nuclei, with particular focus on
the rapidly developing field of quantum phase transitions in the nuclear shape, and on …

The equation of the Bohr–Mottelson Hamiltonian with a sextic oscillator potential is solved
for $\gamma $-rigid prolate nuclei. The associated shape phase space is reduced to three …

Abstract Quantum Phase Transitions arising in algebraic and collective models of nuclear
structure are reviewed. The concept of quantum phases and phase transitions is described …

The critical point of the shape phase transition between spherical and axially deformed
nuclei is described by a collective Bohr Hamiltonian with a sextic potential having …

We analyze the decoherence induced on a single qubit by the interaction with a two-level
boson system with critical internal dynamics. We explore how the decoherence process is …

In this paper we focus on three mass regions where first-order phase transitions occur,
namely, for N= 40, 60, and 90. We investigate four isotopic chains (Se, Zr, Mo, and Nd) in the …

The nucleon pair shell model (NPSM) is cast into the so-called M scheme for the cases with
isospin symmetry and without isospin symmetry. The odd system and even system are …