Primordial Graviton Entanglement in Quasicrystalline Inflation

@misc{soda2026primordial,
  title = {{Primordial Graviton Entanglement in Quasicrystalline Inflation}},
  author = {Jiro Soda},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15249},
  eprint = {2610.15249},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15249},
}

TY  - UNPB
TI  - Primordial Graviton Entanglement in Quasicrystalline Inflation
AU  - Jiro Soda
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15249
UR  - https://arxiv.org/abs/2610.15249
AB  - We study the entanglement structure of gravitons in quasicrystalline inflation. Both parity-even and parity-odd interactions generate graviton pairs with nonzero total momentum. For opposite-helicity pairs with identical momenta, the parity-even contribution can be nonzero, whereas the parity-odd contribution vanishes. The transition from inflation to radiation domination produces additional conventional two-mode squeezing. We derive the resulting normal and anomalous covariances. The initially nonzero reciprocal blocks of the full field-momentum covariance remain nonzero under homogeneous evolution, although individual components can vanish. We show that this homogeneous, helicity-preserving evolution acts unitarily within each helicity sector and therefore preserves the entanglement between the complete right- and left-helicity sectors. Nevertheless, it can eliminate entanglement in the reduced state of a co-propagating pair. We illustrate this distinction using a solvable four-mode model.
ER  -