scholarly journals Quantum Entropy and Complexity

2017 ◽  
Vol 24 (02) ◽  
pp. 1750005
Author(s):  
F. Benatti ◽  
S. Khabbazi Oskouei ◽  
A. Shafiei Deh Abad
Keyword(s):  
Dynamical Systems ◽  
Shannon Entropy ◽  
Kolmogorov Complexity ◽  
Quantum Systems ◽  
Quantum Spin ◽  
Spin Chains ◽  
The Other ◽  
Quantum Entropy ◽  
Quantum Spin Chains ◽  
Quantum Complexity

We study the relations between the recently proposed machine-independent quantum complexity of P. Gacs [1] and the entropy of classical and quantum systems. On one hand, by restricting Gacs complexity to ergodic classical dynamical systems, we retrieve the equality between the Kolmogorov complexity rate and the Shannon entropy rate derived by A. A. Brudno [2]. On the other hand, using the quantum Shannon-McMillan theorem [3], we show that such an equality holds densely in the case of ergodic quantum spin chains.

scholarly journals q-DEFORMATIONS OF QUANTUM SPIN CHAINS WITH EXACT VALENCE-BOND GROUND STATES

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3645-3654 ◽  
Author(s):  
M.T. BATCHELOR ◽  
C.M. YUNG
Keyword(s):  
Condensed Matter ◽  
Valence Bond ◽  
Ground States ◽  
Quantum Spin ◽  
Total Spin ◽  
Spin Chains ◽  
The Other ◽  
Condensed Matter Physics ◽  
Spin States ◽  
Quantum Spin Chains

Quantum spin chains with exact valence-bond ground states are of great interest in condensed-matter physics. A class of such models was proposed by Affleck et al., each of which is su(2)-invariant and constructed as a sum of projectors onto definite total spin states at neighboring sites. We propose to use the machinery of the q-deformation of su(2) to obtain generalisations of such models, and work out explicitly the two simplest examples. In one case we recover the known anisotropic spin-1 VBS model while in the other we obtain a new anisotropic generalisation of the spin-½ Majumdar-Ghosh model.

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.

Random exchange effects in antiferromagnetic quantum spin chains: A Monte Carlo study

1987 ◽  
Vol 35 (7) ◽  
pp. 3461-3467 ◽  
Author(s):  
H. -B. Schüttler ◽  
D. J. Scalapino ◽  
P. M. Grant
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Exchange Effects

scholarly journals Quantum spin chains with frustration due to Dzyaloshinskii-Moriya interactions

2014 ◽  
Vol 90 (17) ◽  
Author(s):  
M. Hälg ◽  
W. E. A. Lorenz ◽  
K. Yu. Povarov ◽  
M. Månsson ◽  
Y. Skourski ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains
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