Comment on "Nonexponential Decay Via Tunneling in Tight-Binding Lattices and the Optical Zeno Effect"

Details Comment on "Nonexponential Decay Via Tunneling in Tight-Binding Lattices and the Optical Zeno Effect" Comment on "Nonexponential Decay Via Tunneling in Tight-Binding Lattices and the Optical Zeno Effect"

2007-10-04

arxiv.org/abs/0710.1086v2

Physics

Quantum Physics

2 pages

Scientific paper

S. Longhi [1] studied the survival probability P(t) of an unstable state coupled to a tight-binding lattice finding an exact analytical solution that describes the nonexponential decay. When the first coupling is smaller than the others, he shows that P(t) has a natural decomposition into two terms; one is the exponential decay, consistent with the Gamow's approach, and the other is the correction to this decay. The first purpose of this Comment is to show that the condition imposed on the system; the site energy of the first site is set in the center of the band, limits the generality of the results. A decomposition based on the spectral properties of the system removes this restriction [2]. Other point of this Comment is that, for the weak coupling limit, the author stated that a Zeno effect occurs for t less than t*, where t* is the smallest root of the equation g_eff(t*)=g_0, and for the strong coupling limit an anti-Zeno effect occurs for t close to t**, where t** is the first peak of g_eff. By using a spectral formulation we show that, the anti-Zeno effect not only requires a strong coupling limit, also is necessary to choose the resonance energy and width such that a destructive interference can occur. We present this interference and give an analytical expression and physically interpretation for t* and t**.

Affiliated with

Also associated with

No associations

Rating

Comment on "Nonexponential Decay Via Tunneling in Tight-Binding Lattices and the Optical Zeno Effect" does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comment on "Nonexponential Decay Via Tunneling in Tight-Binding Lattices and the Optical Zeno Effect", we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comment on "Nonexponential Decay Via Tunneling in Tight-Binding Lattices and the Optical Zeno Effect" will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-328362