Finite quantum Heisenberg spin models and their approach to the classical limit

2006 ◽  
Vol 74 (5) ◽  
Author(s):  
Larry Engelhardt ◽  
Marshall Luban ◽  
Christian Schröder
Keyword(s):  
Classical Limit ◽  
Spin Models ◽  
Heisenberg Spin

scholarly journals Nonlocal correlation in Heisenberg spin models

2017 ◽  
Vol 31 (23) ◽  
pp. 1750166 ◽  
Author(s):  
R. Muthuganesan ◽  
R. Sankaranarayanan
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Thermal Equilibrium ◽  
Quantum Discord ◽  
Spin Models ◽  
Heisenberg Spin ◽  
Geometric Quantum Discord ◽  
Nonlocal Correlation

In this paper, we investigate nonlocal correlation (beyond entanglement) captured by measurement induced nonlocality and geometric quantum discord for a pair of interacting spin-1/2 particles at thermal equilibrium. It is shown that both the measures are identical in measuring the correlation. We show that nonlocal correlation between the spins exist even without entanglement and the correlation vanishes only for maximal mixture of product bases. We also observe that while interaction between the spins is responsible for enhancement of correlation, this non-classicality decreases with the intervention of external magnetic field.

scholarly journals Quantum coherence of the Heisenberg spin models with Dzyaloshinsky-Moriya interactions

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Chandrashekar Radhakrishnan ◽  
Manikandan Parthasarathy ◽  
Segar Jambulingam ◽  
Tim Byrnes
Keyword(s):  
Quantum Coherence ◽  
Spin Models ◽  
Heisenberg Spin

On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections

2020 ◽  
Vol 476 (2243) ◽  
pp. 20200487
Author(s):  
C. Rogers ◽  
T. Ruggeri ◽  
W. K. Schief
Keyword(s):  
Conservation Laws ◽  
Classical Limit ◽  
Three Dimensional ◽  
Classical System ◽  
Two Dimensional ◽  
Stationary Case ◽  
Heisenberg Spin ◽  
Lift And Drag ◽  
Spin Equation

A classical system of conservation laws descriptive of relativistic gasdynamics is examined. In the two-dimensional stationary case, the system is shown to be invariant under a novel multi-parameter class of reciprocal transformations. The class of invariant transformations originally obtained by Bateman in non-relativistic gasdynamics in connection with lift and drag phenomena is retrieved as a reduction in the classical limit. In the general 3+1-dimensional case, it is demonstrated that Synge’s geometric characterization of the pressure being constant along streamlines encapsulates a three-dimensional extension of an integrable Heisenberg spin equation.

Computations on Heisenberg Spin Models

1973 ◽  
Vol 7 (4) ◽  
pp. 647-665 ◽  
Author(s):  
W. A. Seitz ◽  
D. J. Klein
Keyword(s):  
Spin Models ◽  
Heisenberg Spin

Dynamical characteristic of measurement uncertainty under Heisenberg spin models with Dzyaloshinskii–Moriya interactions

2019 ◽  
Vol 14 (3) ◽  
Author(s):  
Ying-Yue Yang ◽  
Wen-Yang Sun ◽  
Wei-Nan Shi ◽  
Fei Ming ◽  
Dong Wang ◽  
...  
Keyword(s):  
Measurement Uncertainty ◽  
Dynamical Characteristic ◽  
Spin Models ◽  
Heisenberg Spin

The classical limit ofn-vector spin models

1973 ◽  
Vol 33 (1) ◽  
pp. 53-60 ◽  
Author(s):  
Colin J. Thompson ◽  
Howard Silver
Keyword(s):  
Classical Limit ◽  
Spin Models ◽  
Vector Spin Models
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