Classical picture of post-exponential decay

Abstract

Post-exponential decay of the probability density of a quantum particle leaving a trap can be reproduced accurately, except for interference oscillations at the transition to the post-exponential regime, by means of an ensemble of classical particles emitted with constant probability per unit time and the same half-life as the quantum system. The energy distribution of the ensemble is chosen to be identical to the quantum distribution, and the classical point source is located at the scattering length of the corresponding quantum system. A 1D example is provided to illustrate the general argument.

References in corpus (5)

• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
• The Late Time Behavior of False Vacuum Decay: Possible Implications for Cosmology and Metastable Inflating States
• The role of initial state reconstruction in short and long time deviations from exponential decay
• Enhanced observability of quantum post-exponential decay using distant detectors
• Long time deviation from exponential decay: non-integral power laws

Cited by in corpus (2)

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