Particle creation from entanglement entropy

We investigate how entanglement entropy can drive particle creation, deriving explicit relations between entropy and the radiated particle spectrum, the total number of particles, and the total energy. Particle production is computed for scenarios that include accelerated motion, black hole evaporation, and beta decay, validating against known results while also extending them. We focus primarily on the low-entropy limit (analogous to non-relativistic motion), but also examine cases of significant particle production arising from harmonic cycles. The results establish an explicit operational link between information flow and matter creation, providing a concrete demonstration of ‘it from bit’.

💡 Research Summary

**
The paper establishes a direct quantitative link between time‑dependent von Neumann entanglement entropy S(t) and particle creation in quantum field theory, using the moving‑mirror model as a concrete laboratory. In the non‑relativistic regime (|ẋ|≪c) the authors relate entropy to mirror velocity by S(t)=−v(t)/6, which integrates to a mirror trajectory z(t)=−(1/6)∫S(t)dt. By inserting the Fourier transform of this trajectory, z̃(ω)=6i ω⁻¹ S̃(ω), into the standard Bogoliubov‑coefficient expression |β_{pq}|²=4πpq|z̃(ω)|² (with ω=p+q), they derive compact formulas for the particle spectrum, total particle number, and total radiated energy that depend solely on the Fourier transform of the entropy:

 N(p)=144π∫dq