Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay

Details Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay

2004-08-24

arxiv.org/abs/quant-ph/0408149v2

Phys.Rev. A71 (2005) 012109

Physics

Quantum Physics

17 pages, 6 figures

Scientific paper

10.1103/PhysRevA.71.012109

We study the decay process of an unstable quantum system, especially the deviation from the exponential decay law. We show that the exponential period no longer exists in the case of the s-wave decay with small $Q$ value, where the $Q$ value is the difference between the energy of the initially prepared state and the minimum energy of the continuous eigenstates in the system. We also derive the quantitative condition that this kind of decay process takes place and discuss what kind of system is suitable to observe the decay.

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