Abstract:
We study the dynamical correlations between two coupled spins depending on time and the value of the spin quantum numbers. In the high-temperature approximation, we obtain analytic expressions for the mutual information and the quantum and classical parts of correlations. We consider both orthogonal and nonorthogonal measurements in the basis of spin coherent states. We show that at small times, the quantum part of correlations becomes much less than the classical part as the spin quantum numbers increase, while the situation is quite different at times equal to half the quantum period.
Citation:
V. E. Zobov, “Quantum and classical correlations in high-temperature dynamics of two coupled large spins”, TMF, 177:1 (2013), 111–125; Theoret. and Math. Phys., 177:1 (2013), 1377–1389
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\by V.~E.~Zobov
\paper Quantum and classical correlations in high-temperature dynamics of two coupled large spins
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\jour Theoret. and Math. Phys.
\yr 2013
\vol 177
\issue 1
\pages 1377--1389
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Linking options:
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https://doi.org/10.4213/tmf8510
https://www.mathnet.ru/eng/tmf/v177/i1/p111
This publication is cited in the following 11 articles:
Lundin A.A., Zobov V.E., “Solid-State Nmr Free Induction Decay, Simulated By the System of Classical Magnetic Moments and Quantum Correlations”, Russ. J. Phys. Chem. B, 15:5 (2021), 839–847
Ahadpour S. Mirmasoudi F., “Super Dense Coding in One-Axis Twisting Model”, Rev. Mex. Fis., 66:3 (2020), 356–363
F. Mirmasoudi, S. Ahadpour, “Dynamics of super quantum discord and optimal dense coding in quantum channels”, J. Phys. A-Math. Theor., 51:34 (2018), 345302
S. Ahadpour, F. Mirmasoudi, “Thermal quantum discord and super quantum discord teleportation via a two-qubit spin-squeezing model”, Theoret. and Math. Phys., 195:1 (2018), 628–639
Doronin S.I. Fel'dman E.B. Kuznetsova E.I., “Contributions of Different Parts of Spin-Spin Interactions To Quantum Correlations in a Spin Ring Model in An External Magnetic Field”, Quantum Inf. Process., 14:8 (2015), 2929–2943
S I Doronin, E B Fel'dman, E I Kuznetsova, “Quantum correlations in a bipartite multiqubit spin ring system”, Phys. Scr., 90:7 (2015), 074016
S. I. Doronin, E. I. Kuznetsova, É. B. Fel'dman, “Quantum discord in a three-spin system in an external magnetic field”, Theoret. and Math. Phys., 181:2 (2014), 1459–1470
Zobov V.E., “Quantum and Classical Correlations in Electron-Nuclear Spin Echo”, J. Exp. Theor. Phys., 119:5 (2014), 817–827
Zobov V.E., “Quantum Discord in the Central Spin Model”, International Conference on Micro- and Nano-Electronics 2014, Proceedings of Spie, 9440, ed. Orlikovsky A., Spie-Int Soc Optical Engineering, 2014
Zobov V.E., Lundin A.A., “Quantum and Classical Correlations in the Solid-State Nmr Free Induction Decay”, Appl. Magn. Reson., 45:11 (2014), 1169–1177
V. L. Bodneva, A. A. Lundin, A. A. Milyutin, “On possibility of using the reduced description of the anisotropic Heisenberg paramagnet spin dynamics, and the NMR line-shape in solids”, Theoret. and Math. Phys., 106:3 (1996), 370–384