scholarly journals Symmetries at and Near Critical Points of Quantum Phase Transitions in Nuclei

2009 ◽  
Author(s):  
A. Leviatan ◽  
F. Iachello ◽  
Jan Jolie ◽  
Andreas Zilges ◽  
Nigel Warr ◽  
...  
2014 ◽  
Vol 28 (07) ◽  
pp. 1450050 ◽  
Author(s):  
ANDRÉ L. FONSECA DE OLIVEIRA ◽  
EFRAIN BUKSMAN ◽  
JESÚS GARCÍA LÓPEZ DE LACALLE

The present article proposes a measure of correlation for multiqubit mixed states. The measure is defined recursively, accumulating the correlation of the subspaces, making it simple to calculate without the use of regression. Unlike usual measures, the proposed measure is continuous additive and reflects the dimensionality of the state space, allowing to compare states with different dimensions. Examples show that the measure can signal critical points (CPs) in the analysis of Quantum Phase Transitions (QPTs) in Heisenberg models.


2006 ◽  
Vol 20 (19) ◽  
pp. 2687-2694 ◽  
Author(s):  
F. IACHELLO

Shape phase transitions in nuclei, an example of quantum phase transitions in mesoscopic systems, are briefly reviewed. Spectral signatures of critical points in finite quantal systems are discussed and experimental examples are shown.


2007 ◽  
Vol 22 (07n10) ◽  
pp. 727-731 ◽  
Author(s):  
HAINA WU ◽  
ZHIHUA YANG ◽  
JIANHUI DAI ◽  
HEPING YING

We examine the ground state properties of a dimerized ferromagnetic S = 1 Ising chain with single-ion crystal fields by mapping the model onto the dimerized S = 1/2 Ising chain with transverse fields. We show that the system exhibits a series of Ising transitions depending on the dimerization strength of the crystal fields, while the critical points can be determined exactly.


2004 ◽  
Vol 174 (8) ◽  
pp. 853 ◽  
Author(s):  
Sergei M. Stishov

2005 ◽  
Vol 159 ◽  
pp. 241-245 ◽  
Author(s):  
Masashi Fujisawa ◽  
Budhy Kurniawan ◽  
Toshio Ono ◽  
Hidekazu Tanaka

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