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PreprintarXiv licencearXiv

Dynamics of the Density Cube

  • Nabin Bhatta
  • Djordje Minic
  • Tatsu Takeuchi
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Abstract

Density cube theory extends the canonical quantum density matrix ρij with the addition of an extra index to ρijk. The elements of the density cube with two different indices, ρiij and ρijj, correspond to the real and imaginary parts of the off-diagonal element ρij of the density matrix and describe double-path interference, while those with three different indices describe non-canonical triple-path interference. In this letter, we propose an equation of motion for the density cube, obtained from the quantization of ternary Nambu dynamics, and find that pairs of triple-path interferences oscillate into each other.

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Cite

BibTeXRIS
BibTeX
@misc{bhatta2026dynamics,
  title = {{Dynamics of the Density Cube}},
  author = {Nabin Bhatta and Djordje Minic and Tatsu Takeuchi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.02421},
  eprint = {2606.02421},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.02421},
}
RIS
TY  - UNPB
TI  - Dynamics of the Density Cube
AU  - Nabin Bhatta
AU  - Djordje Minic
AU  - Tatsu Takeuchi
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2606.02421
UR  - https://arxiv.org/abs/2606.02421
AB  - Density cube theory extends the canonical quantum density matrix ρ_ij with the addition of an extra index to ρ_ijk. The elements of the density cube with two different indices, ρ_iij and ρ_ijj, correspond to the real and imaginary parts of the off-diagonal element ρ_ij of the density matrix and describe double-path interference, while those with three different indices describe non-canonical triple-path interference. In this letter, we propose an equation of motion for the density cube, obtained from the quantization of ternary Nambu dynamics, and find that pairs of triple-path interferences oscillate into each other.
ER  -