scholarly journals Quantum Phase Transitions in the Interacting Boson Model: Integrability, Level Repulsion, and Level Crossing

2003 ◽  
Vol 91 (16) ◽  
Author(s):  
J. M. Arias ◽  
J. Dukelsky ◽  
J. E. García-Ramos
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Interacting Boson Model ◽  
Level Crossing ◽  
Boson Model

QUANTUM PHASE TRANSITIONS AND NUCLEAR STRUCTURE

2009 ◽  
Vol 18 (04) ◽  
pp. 965-974
Author(s):  
P. CEJNAR ◽  
P. STRÁNSKÝ ◽  
M. MACEK
Keyword(s):  
Phase Transitions ◽  
Recent Progress ◽  
Quantum Phase Transitions ◽  
Theoretical Models ◽  
Quantum Phase ◽  
Interacting Boson Model ◽  
Shape Evolution ◽  
Atomic Nuclei ◽  
Boson Model ◽  
Theoretical Results

We report on recent progress in the description of shape transitions in atomic nuclei. The main experimental signatures are mentioned along with basic theoretical models describing the critical character of the nuclear shape evolution. We then discuss some new theoretical results obtained within the framework of the interacting boson model and related approaches. It is argued that these models can be used to probe some fundamental aspects of quantum phase transitions.

scholarly journals Intertwined quantum phase transitions in the Zr chain

2019 ◽  
Vol 223 ◽  
pp. 01021
Author(s):  
N. Gavrielov ◽  
A. Leviatan ◽  
F. Iachello
Keyword(s):  
Phase Transitions ◽  
Detailed Analysis ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Interacting Boson Model ◽  
Shape Evolution ◽  
Normal Configuration ◽  
Configuration Mixing ◽  
Boson Model

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)].

scholarly journals Quantum phase transitions in the two-dimensional hardcore boson model

2001 ◽  
Vol 65 (1) ◽  
Author(s):  
F. Hébert ◽  
G. G. Batrouni ◽  
R. T. Scalettar ◽  
G. Schmid ◽  
M. Troyer ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Two Dimensional ◽  
Boson Model
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