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PreprintarXiv licencearXiv

The polarization behavior of a system of two interacting identical spins 1/2 in adiabatically varying magnetic field

  • Yury Belousov
  • Dim Safin
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Abstract

We derive the density matrix of a nonstationary system in the adiabatic representation and obtain the corresponding Liouville equation. This representation is particularly suitable when the standard interaction representation is inapplicable. We illustrate the approach with two identical, spatially separated spin-1/2 particles coupled by a magnetic dipole-dipole interaction in a slowly varying external magnetic field. Specifically, we analyze the spin polarization of pseudo-qutrit states in regimes where the states become entangled. The application of the adiabatic representation to calculate the dependence of observed physical quantities on time for quantum systems is illustrated. Our results show that entangled states can significantly modify the behavior of these observables and provide additional opportunities for their control.

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Cite

BibTeXRIS
BibTeX
@misc{belousov2026polarization,
  title = {{The polarization behavior of a system of two interacting identical spins 1/2 in adiabatically varying magnetic field}},
  author = {Yury Belousov and Dim Safin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08147},
  eprint = {2610.08147},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08147},
}
RIS
TY  - UNPB
TI  - The polarization behavior of a system of two interacting identical spins 1/2 in adiabatically varying magnetic field
AU  - Yury Belousov
AU  - Dim Safin
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08147
UR  - https://arxiv.org/abs/2610.08147
AB  - We derive the density matrix of a nonstationary system in the adiabatic representation and obtain the corresponding Liouville equation. This representation is particularly suitable when the standard interaction representation is inapplicable. We illustrate the approach with two identical, spatially separated spin-1/2 particles coupled by a magnetic dipole-dipole interaction in a slowly varying external magnetic field. Specifically, we analyze the spin polarization of pseudo-qutrit states in regimes where the states become entangled. The application of the adiabatic representation to calculate the dependence of observed physical quantities on time for quantum systems is illustrated. Our results show that entangled states can significantly modify the behavior of these observables and provide additional opportunities for their control.
ER  -