On the factorization method for the quantum statistical description of dynamics of an isolated spin system

We study the applicability of the formula that factors the trace of the diagonal part of spin operator products in the case of a relatively small number of particles of an isolated spin system. The validity of this formula for a large number of particles follows from the basic principles of quantum...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2024-03, Vol.218 (3), p.452-463
Main Authors: Samokhin, A. A., Zyl, A. V., Zamarashkin, N. L.
Format: Article
Language:English
Subjects:
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Applications of Mathematics
Dipole interactions
Magnetic fields
Mathematical and Computational Physics
Particle spin
Physics
Physics and Astronomy
Quantum statistics
Spin dynamics
Statistical mechanics
Theoretical
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Summary:We study the applicability of the formula that factors the trace of the diagonal part of spin operator products in the case of a relatively small number of particles of an isolated spin system. The validity of this formula for a large number of particles follows from the basic principles of quantum statistical mechanics. The spin system under consideration includes dipole–dipole interaction and the Zeeman interaction with an external magnetic field. We establish that the accuracy of this formula monotonically increases as the magnetic field increases. At the same time, the dependence on the number of particles in the range for various configurations turns out to be sharply nonmonotone.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577924030061