Dynamics of the Density Cube
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918535293304832 |
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| author | Bhatta, Nabin Minic, Djordje Takeuchi, Tatsu |
| author_facet | Bhatta, Nabin Minic, Djordje Takeuchi, Tatsu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_02421 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamics of the Density Cube Bhatta, Nabin Minic, Djordje Takeuchi, Tatsu Quantum Physics High Energy Physics - Theory Mathematical Physics 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. |
| title | Dynamics of the Density Cube |
| topic | Quantum Physics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2606.02421 |