scholarly journals Entanglement of Purification in Many Body Systems and Symmetry Breaking

2019 ◽  
Vol 122 (20) ◽  
Author(s):  
Arpan Bhattacharyya ◽  
Alexander Jahn ◽  
Tadashi Takayanagi ◽  
Koji Umemoto
1991 ◽  
Vol 05 (20) ◽  
pp. 3235-3253 ◽  
Author(s):  
V.I. YUKALOV

A new method is developed to define pure states for many-body systems with spontaneous symmetry breaking. The advantage of the method is in the use of solely the standard thermodynamic limit, as compared to the Bogolubov method of infinitesimal external sources which invokes two limiting procedures: the standard thermodynamic limit and the elimination of external sources. The general conditions for obtaining pure states are formulated. When these conditions do not hold mixed states appear. The method is illustrated by calculations for two simple models.


2017 ◽  
Vol 68 (4) ◽  
pp. 405 ◽  
Author(s):  
Guo-Hui Dong ◽  
Yi-Nan Fang ◽  
Chang-Pu Sun

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.


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