Decay of Qubits under arbitrary space-time trajectories: The Zeno & Anti-Zeno Effects

Abstract

Modeling an arbitrarily accelerating qubit as an open quantum system, we derive an exact solution for the pure-dephasing model (${\sigma }_z$ coupling) under arbitrary qubit space-time trajectories, as well as general expressions for the survival probabilities of finite-length qubits interacting with a massless scalar field under ${\sigma }_x$ coupling (an Unruh-DeWitt detector) to second order. We follow the regularization scheme presented 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 qubit in different coupling regimes, (pure dephasing, Unruh-DeWitt) and explore the Quantum Zeno (QZE) and Quantum Anti Zeno Effect (QAZE) as the qubit decoheres under it's interaction with the environment. We compute results for four example trajectories: stationary, uniform acceleration, oscillation and circular orbits.

arXiv comment8 pages, 4 figures, Comments are most welcome

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Cited by in corpus (1)

• The Zeno and anti-Zeno effects: studying modified decay rates for spin-boson models with both strong and weak system-environment couplings