scholarly journals Dynamics of quantum spin systems in dimer and valence-bond-solid ground states stabilized by competing interactions

1996 ◽  
Vol 79 (8) ◽  
pp. 4629 ◽  
Author(s):  
Yongmin Yu ◽  
Gerhard Müller
Keyword(s):  
Valence Bond ◽  
Ground States ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Competing Interactions ◽  
Solid Ground ◽  
Valence Bond Solid

scholarly journals ENTANGLEMENT OF QUANTUM SPIN SYSTEMS: A VALENCE-BOND APPROACH

2011 ◽  
Vol 25 (12n13) ◽  
pp. 917-928 ◽  
Author(s):  
SYLVAIN CAPPONI ◽  
FABIEN ALET ◽  
MATTHIEU MAMBRINI
Keyword(s):  
Quantum System ◽  
Valence Bond ◽  
Quantum Spin ◽  
Spin Systems ◽  
Von Neumann Entropy ◽  
Quantum Spin Systems ◽  
Von Neumann ◽  
Open Issue

In order to quantify entanglement between two parts of a quantum system, one of the most used estimators is the Von Neumann entropy. Unfortunately, computing this quantity for large interacting quantum spin systems remains an open issue. Faced with this difficulty, other estimators have been proposed to measure entanglement efficiently, mostly by using simulations in the valence-bond basis. We review the different proposals and try to clarify the connections between their geometric definitions and proper observables. We illustrate this analysis with new results of entanglement properties of spin-1 chains.

scholarly journals Dynamical properties of quantum spin systems in magnetically ordered product ground states

1994 ◽  
Vol 75 (10) ◽  
pp. 6057-6059 ◽  
Author(s):  
V. S. Viswanath ◽  
Joachim Stolze ◽  
Gerhard Müller
Keyword(s):  
Ground States ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Dynamical Properties ◽  
Magnetically Ordered

scholarly journals Exact Ground States of Frustrated Quantum Spin Systems Consisting of Spin-Dimer Units

2017 ◽  
Vol 86 (5) ◽  
pp. 054709 ◽  
Author(s):  
Toshiya Hikihara ◽  
Takashi Tonegawa ◽  
Kiyomi Okamoto ◽  
Tôru Sakai
Keyword(s):  
Ground States ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Spin Dimer

scholarly journals Ground states of quantum spin systems

1978 ◽  
Vol 64 (1) ◽  
pp. 41-48 ◽  
Author(s):  
Ola Bratteli ◽  
Akitaka Kishimoto ◽  
Derek W. Robinson
Keyword(s):  
Ground States ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems
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