Spectral gap, and split property in quantum spin chains

2010 ◽  
Vol 51 (1) ◽  
pp. 015216 ◽  
Author(s):  
Taku Matsui
Keyword(s):  
Spectral Gap ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Split Property

scholarly journals BOUNDEDNESS OF ENTANGLEMENT ENTROPY AND SPLIT PROPERTY OF QUANTUM SPIN CHAINS

2013 ◽  
Vol 25 (09) ◽  
pp. 1350017 ◽  
Author(s):  
TAKU MATSUI
Keyword(s):  
Spectral Gap ◽  
Entanglement Entropy ◽  
Quantum Spin ◽  
Spin Systems ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
Split Property ◽  
Left And Right

We show that boundedness of entanglement entropy for pure states of bipartite quantum spin systems implies split property of subsystems. As a corollary, in one-dimensional quantum spin chains, we show that the split property with respect to left and right semi-infinite subsystems is valid for the translationally invariant pure ground states with spectral gap.

Solvable nineteen-vertex models and quantum spin chains of spin one

1994 ◽  
Vol 4 (8) ◽  
pp. 1151-1159 ◽  
Author(s):  
Makoto Idzumi ◽  
Tetsuji Tokihiro ◽  
Masao Arai
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Vertex Models

scholarly journals Long-lived Néel states in antiferromagnetic quantum spin chains with strong uniaxial anisotropy for atomic-scale antiferromagnetic spintronics

RSC Advances ◽  
2015 ◽  
Vol 5 (129) ◽  
pp. 106333-106338 ◽  
Author(s):  
Jun Li ◽  
Bang-Gui Liu
Keyword(s):  
Uniaxial Anisotropy ◽  
Life Time ◽  
Quantum Spin ◽  
Spin Chains ◽  
Atomic Scale ◽  
Quantum Spin Chains ◽  
Long Life

We achieve a powerful life-time expression of the Neel states for arbitrary parameters and show that for famous Fe adatom chains on Cu2N surface, 14 or 16 Fe adatoms are enough to obtain a long life-time for Neel state storage of information.

Sign in / Sign up

Export Citation Format

Share Document