Decay of Qubits under arbitrary space-time trajectories: The Zeno & Anti-Zeno Effects
2018
Modeling an arbitrarily accelerating
qubitas an
open quantum system, we derive an exact solution for the pure-
dephasingmodel ($\sigma_z$ coupling) under arbitrary
qubitspace-time trajectories, as well as general expressions for the survival probabilities of finite-length
qubitsinteracting with a massless scalar field under $\sigma_x$ coupling (an Unruh-DeWitt detector) to second order. We follow the
regularization schemepresented in a previous paper by S. Schlicht, to allow a finite length quantum detector to couple to the massless scalar field. We compute the decay rate of the
qubitin different coupling regimes, (pure
dephasing, Unruh-DeWitt) and explore the Quantum Zeno (QZE) and Quantum Anti Zeno Effect (QAZE) as the
qubitdecoheres under it's interaction with the environment. We compute results for four example trajectories: stationary, uniform acceleration, oscillation and
circular orbits.
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