Kinematic Control and Dephasing Dynamics of Quantum Resources in e+e−→τ+τ−
Abstract
We characterize several quantum resources carried by the spins of the τ+τ− pair produced in e+e− annihilation. At the Belle-II energy, √s=10.579 GeV, Bell nonlocality, steerability, entanglement of formation, and coherence are governed by the production angle and are largest for transverse emission, ϑ=π/2. Their common kinematic origin is exposed by expressing the spin state as a velocity and angle-dependent mixture of a separable contribution and a maximally entangled component. Within the physical production domain, this representation connects the weakly correlated threshold state at √s=2mτ to the Bell-state limit approached at ultrarelativistic energies. We then propagate the two-spin state through a phenomenological correlated-dephasing channel to determine how environmental memory and inter-channel classical correlations affect the available resources. Memory effects generate collapses and revivals that are absent from the monotonic Markovian evolution. The analysis therefore separates the kinematic mechanism that creates the spin correlations from the noise properties that control their subsequent survival.
Related
- Quantum dynamics of spin systems using quantum-like resources
- Dephasing-driven suppression of superradiance and metastable dynamics in the anisotropic open Rabi model
- Real-Time Correlation of Relaxation, Dephasing, and Two-level System Dynamics in Transmon Qubits
- Basis-Independent Coherence Dynamics of Tripartite States under Pure Dephasing
- Qubit-environment entanglement in pure dephasing dynamics for mixed initial states
BibTeX
@misc{jaloum2026kinematic,
title = {{Kinematic Control and Dephasing Dynamics of Quantum Resources in $e^+e^-\toτ^+τ^-$}},
author = {Elhabib Jaloum and Omar Bachain and Mohamed Amazioug and Rachid Ahl Laamara},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08555},
eprint = {2609.08555},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08555},
}
RIS
TY - UNPB
TI - Kinematic Control and Dephasing Dynamics of Quantum Resources in e^+e^−→τ^+τ^−
AU - Elhabib Jaloum
AU - Omar Bachain
AU - Mohamed Amazioug
AU - Rachid Ahl Laamara
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08555
UR - https://arxiv.org/abs/2609.08555
AB - We characterize several quantum resources carried by the spins of the τ^+τ^− pair produced in e^+e^− annihilation. At the Belle-II energy, √s=10.579 GeV, Bell nonlocality, steerability, entanglement of formation, and coherence are governed by the production angle and are largest for transverse emission, ϑ=π/2. Their common kinematic origin is exposed by expressing the spin state as a velocity and angle-dependent mixture of a separable contribution and a maximally entangled component. Within the physical production domain, this representation connects the weakly correlated threshold state at √s=2m_τ to the Bell-state limit approached at ultrarelativistic energies. We then propagate the two-spin state through a phenomenological correlated-dephasing channel to determine how environmental memory and inter-channel classical correlations affect the available resources. Memory effects generate collapses and revivals that are absent from the monotonic Markovian evolution. The analysis therefore separates the kinematic mechanism that creates the spin correlations from the noise properties that control their subsequent survival.
ER -