Quantum Correlation in Matrix Product States of One-Dimensional Spin Chains

2015 ◽  
Vol 64 (3) ◽  
pp. 356-360 ◽  
Author(s):  
Jing-Min Zhu
Keyword(s):  
Quantum Correlation ◽  
Spin Chains ◽  
Matrix Product ◽  
One Dimensional ◽  
Matrix Product States

Quantum phase transitions in composite matrix product states of one-dimensional spin-1/2 chains

2015 ◽  
Vol 29 (09) ◽  
pp. 1550071 ◽  
Author(s):  
Jing-Min Zhu
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Long Range ◽  
Quantum Correlation ◽  
Quantum Phase Transitions ◽  
Ferromagnetic State ◽  
Quantum Phase ◽  
Matrix Product ◽  
One Dimensional ◽  
Matrix Product States

For matrix product states of one-dimensional spin-1/2 chains, we investigate the properties of quantum phase transition of the proposed composite system. We find that the system has three different ferromagnetic phases, one line of the two ferromagnetic phases coexisting equally describes the paramagnetic state, and the other two lines of two ferromagnetic phases coexisting equally describe the ferrimagnetic states, while the three phases coexisting equally point describes the ferromagnetic state. Whether on phase transition lines or at the phase transition point, the system is always in an isolated mediate-coupling state, the physical quantities are discontinuous and the system has long-range correlation and has long-range classical correlation and long-range quantum correlation. We believe that our work is helpful for comprehensively and profoundly understanding the quantum phase transitions, and of some certain guidance and enlightening on the classification and measure of quantum correlation of quantum many-body systems.

scholarly journals Matrix product states forsu(2) invariant quantum spin chains

2016 ◽  
Vol 2016 (8) ◽  
pp. 083101 ◽  
Author(s):  
Rubina Zadourian ◽  
Andreas Fledderjohann ◽  
Andreas Klümper
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Matrix Product ◽  
Quantum Spin Chains ◽  
Matrix Product States ◽  
Invariant Quantum

scholarly journals Integrable open spin chains related to infinite matrix product states

2016 ◽  
Vol 93 (15) ◽  
Author(s):  
B. Basu-Mallick ◽  
F. Finkel ◽  
A. González-López
Keyword(s):  
Spin Chains ◽  
Infinite Matrix ◽  
Matrix Product ◽  
Matrix Product States

scholarly journals Matrix-product-states approach to Heisenberg ferrimagnetic spin chains

1997 ◽  
Vol 55 (6) ◽  
pp. R3336-R3339 ◽  
Author(s):  
A. K. Kolezhuk ◽  
H.-J. Mikeska ◽  
Shoji Yamamoto
Keyword(s):  
Spin Chains ◽  
Matrix Product ◽  
Matrix Product States
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