scholarly journals Shannon and Rényi mutual information in quantum critical spin chains

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Jean-Marie Stéphan
Keyword(s):  
Mutual Information ◽  
Spin Chains ◽  
Quantum Critical

scholarly journals Entanglement in Nonunitary Quantum Critical Spin Chains

2017 ◽  
Vol 119 (4) ◽  
Author(s):  
Romain Couvreur ◽  
Jesper Lykke Jacobsen ◽  
Hubert Saleur
Keyword(s):  
Spin Chains ◽  
Quantum Critical

scholarly journals Magnetic excitations in coupled Haldane spin chains near the quantum critical point

2000 ◽  
Vol 62 (13) ◽  
pp. 8921-8930 ◽  
Author(s):  
A. Zheludev ◽  
T. Masuda ◽  
I. Tsukada ◽  
Y. Uchiyama ◽  
K. Uchinokura ◽  
...  
Keyword(s):  
Critical Point ◽  
Quantum Critical Point ◽  
Spin Chains ◽  
Magnetic Excitations ◽  
Quantum Critical

scholarly journals Long-distance entanglement in Motzkin and Fredkin spin chains

2019 ◽  
Vol 7 (4) ◽  
Author(s):  
Luca Dell'Anna
Keyword(s):  
Mutual Information ◽  
Entanglement Entropy ◽  
Ground States ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Long Distance ◽  
Half Integer ◽  
Quantum Mutual Information

We derive some entanglement properties of the ground states for two classes of quantum spin chains described by the Fredkin model, for half-integer spins, and the Motzkin model, for integer ones. Since the ground states of the two models are known analytically, we can calculate exactly the entanglement entropy, the negativity and the quantum mutual information. We show, in particular, that these systems exhibit long-distance entanglement, namely two disjoint regions of the chains remain entangled even when their separation is sent to infinity, i.e. these systems are not affected by decoherence. This strongly entangled behavior, Finally, we show that this behavior involves disjoint segments located both at the edges and in the bulk of the chains.

scholarly journals Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains

2016 ◽  
Vol 18 (12) ◽  
pp. 123034 ◽  
Author(s):  
Marek M Rams ◽  
Masoud Mohseni ◽  
Adolfo del Campo
Keyword(s):  
Spin Chains ◽  
Critical Dynamics ◽  
Quantum Critical
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