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 …

We construct quantum error-correcting codes that embed a finite-dimensional code space in
the infinite-dimensional Hilbert space of rotational states of a rigid body. These codes, which …

Phase transitions in angle variables are studied. An example of angular phase transition, an
axially to triaxially deformed “shape” transition in nuclei, is discussed. Spectroscopic …

We analyze shape phase transitions in two-dimensional algebraic models. We apply our
analysis to linear-to-bent transitions in molecules and point out what observables are …

Quantum phase transitions (QPTs) represent a quickly developing subject of theoretical and
experimental research. Nuclear physics contributed to the formation of the QPT concept in …

Signatures of quantum phase transitions (QPTs) and excited state quantum phase
transitions (ESQPTs) in the bending motion of eight XYZ triatomic molecules (HCN, HNC …

Exact solutions of the Bohr Hamiltonian with a five-dimensional square well potential, in
isolation or coupled to a fermion by the five-dimensional spin–orbit interaction, are …

The concepts of quantum phase transition (QPT) and excited state quantum phase transition
(ESQPT) are applied to the study of bending motion in non-rigid molecules. Two key …

We present an extension of the Hamiltonian of the two dimensional limit of the vibron model
to encompass all possible interactions up to four-body operators. We apply this Hamiltonian …

The basic Lipkin-Meshkov-Glick model displays a second-order ground-state quantum
phase transition and an excited-state quantum phase transition (ESQPT). The inclusion of …