scholarly journals Matrix product state study of strongly-interacting systems and quantum phase transitions

2020 ◽  
Author(s):  
Jason Cornelius Pillay
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Matrix Product ◽  
Product State ◽  
Matrix Product State ◽  
Strongly Interacting ◽  
State Study ◽  
Interacting Systems

scholarly journals Bell-Type Correlation at Quantum Phase Transitions in Spin-1 Chain

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1282
Author(s):  
Dongkeun Lee ◽  
Wonmin Son
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Spin Correlation ◽  
High Order ◽  
Quantum Phase ◽  
Transverse Spin ◽  
Matrix Product ◽  
Matrix Product State ◽  
The Matrix ◽  
The One

For the identification of non-trivial quantum phase, we exploit a Bell-type correlation that is applied to the one-dimensional spin-1 XXZ chain. It is found that our generalization of bipartite Bell correlation can take a decomposed form of transverse spin correlation together with high-order terms. The formulation of the density-matrix renormalisation group is utilized to obtain the ground state of a given Hamiltonian with non-trivial phase. Subsequently Bell-type correlation is evaluated through the analysis of the matrix product state. Diverse classes of quantum phase transitions in the spin-1 model are identified precisely through the evaluation of the first and the second moments of the generalized Bell correlations. The role of high-order terms in the criticality has been identified and their physical implications for the quantum phase have been revealed.

scholarly journals Quantum Phase Transitions in Matrix Product Systems

2006 ◽  
Vol 97 (11) ◽  
Author(s):  
Michael M. Wolf ◽  
Gerardo Ortiz ◽  
Frank Verstraete ◽  
J. Ignacio Cirac
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Matrix Product ◽  
Product Systems
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