scholarly journals Matrix product states for critical spin chains: Finite-size versus finite-entanglement scaling

2012 ◽  
Vol 86 (7) ◽  
Author(s):  
B. Pirvu ◽  
G. Vidal ◽  
F. Verstraete ◽  
L. Tagliacozzo
Keyword(s):  
Finite Size ◽  
Spin Chains ◽  
Matrix Product ◽  
Matrix Product States

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

scholarly journals Integrable Matrix Product States from boundary integrability

2019 ◽  
Vol 6 (5) ◽  
Author(s):  
Balázs Pozsgay ◽  
Lorenzo Piroli ◽  
Eric Vernier
Keyword(s):  
Integrability Condition ◽  
Spin Chains ◽  
Matrix Product ◽  
Square Root ◽  
Reflection Equation ◽  
Matrix Product States ◽  
Root Relation ◽  
Integrable Spin ◽  
Explicit Representations ◽  
Integrable Spin Chains

We consider integrable Matrix Product States (MPS) in integrable spin chains and show that they correspond to “operator valued” solutions of the so-called twisted Boundary Yang-Baxter (or reflection) equation. We argue that the integrability condition is equivalent to a new linear intertwiner relation, which we call the “square root relation”, because it involves half of the steps of the reflection equation. It is then shown that the square root relation leads to the full Boundary Yang-Baxter equations. We provide explicit solutions in a number of cases characterized by special symmetries. These correspond to the “symmetric pairs” (SU(N),SO(N)) and (SO(N),SO(D)\otimes⊗SO(N-D)), where in each pair the first and second elements are the symmetry groups of the spin chain and the integrable state, respectively. These solutions can be considered as explicit representations of the corresponding twisted Yangians, that are new in a number of cases. Examples include certain concrete MPS relevant for the computation of one-point functions in defect AdS/CFT.

scholarly journals Optimal sampling of dynamical large deviations via matrix product states

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Luke Causer ◽  
Mari Carmen Bañuls ◽  
Juan P. Garrahan
Keyword(s):  
Large Deviations ◽  
Matrix Product ◽  
Optimal Sampling ◽  
Matrix Product States

scholarly journals Entanglement, combinatorics and finite-size effects in spin chains

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Spin Chains ◽  
Finite Size Effects
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