scholarly journals Geometrical characterization of reduced density matrices reveals quantum phase transitions in many-body systems

2017 ◽  
Vol 60 (6) ◽  
Author(s):  
ZhenSheng Yuan
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Many Body ◽  
Density Matrices ◽  
Reduced Density Matrices ◽  
Geometrical Characterization ◽  
Many Body Systems ◽  
Reduced Density

scholarly journals GEOMETRIC PHASES AND QUANTUM PHASE TRANSITIONS

2008 ◽  
Vol 22 (06) ◽  
pp. 561-581 ◽  
Author(s):  
SHI-LIANG ZHU
Keyword(s):  
Phase Transitions ◽  
Geometric Phase ◽  
Quantum Phase Transitions ◽  
Condensed Matter ◽  
Quantum Phase ◽  
Many Body ◽  
Scientific Communities ◽  
Geometric Phases ◽  
Many Body Systems ◽  
The Many

Quantum phase transition is one of the main interests in the field of condensed matter physics, while geometric phase is a fundamental concept and has attracted considerable interest in the field of quantum mechanics. However, no relevant relation was recognized before recent work. In this paper, we present a review of the connection recently established between these two interesting fields: investigations in the geometric phase of the many-body systems have revealed the so-called "criticality of geometric phase", in which the geometric phase associated with the many-body ground state exhibits universality, or scaling behavior in the vicinity of the critical point. In addition, we address the recent advances on the connection of some other geometric quantities and quantum phase transitions. The closed relation recently recognized between quantum phase transitions and some of the geometric quantities may open attractive avenues and fruitful dialogue between different scientific communities.

scholarly journals Diagonal entropy in many-body systems: Volume effect and quantum phase transitions

2020 ◽  
Vol 384 (16) ◽  
pp. 126333
Author(s):  
Zhengan Wang ◽  
Zheng-Hang Sun ◽  
Yu Zeng ◽  
Haifeng Lang ◽  
Qiantan Hong ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Volume Effect ◽  
Quantum Phase ◽  
Many Body ◽  
Many Body Systems

FINITE TEMPERATURE APPROACH TO QUANTUM PHASE TRANSITIONS

2010 ◽  
Vol 20 (02) ◽  
pp. 397-401
Author(s):  
A. PLASTINO ◽  
E. M. F. CURADO
Keyword(s):  
Phase Transitions ◽  
Statistical Mechanics ◽  
Excited States ◽  
Finite Temperature ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Many Body ◽  
Statistical Correlations ◽  
Many Body Systems

We show how ordinary, finite-temperature tools of Statistical Mechanics can be used to detect quantum phase transitions in many-body systems. In particular, statistical correlations exhibit a quite idiosyncratic behavior at the critical interaction-strengths. Moreover, what one may call "soft quantum phase-transitions" (crossings of excited states) are characterized by the rather special way of vanishing that these correlations adopt.

scholarly journals Excited state quantum phase transitions in many-body systems

2008 ◽  
Vol 323 (5) ◽  
pp. 1106-1135 ◽  
Author(s):  
M.A. Caprio ◽  
P. Cejnar ◽  
F. Iachello
Keyword(s):  
Phase Transitions ◽  
Excited State ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Many Body ◽  
Many Body Systems
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