Non-exponential deviations in decay of unstable systems

Nghiep, Tran Dai; Hanh, V.T.; Son, N.N.

doi:10.1016/s0920-5632(98)00102-9

Cited by 7 publications

(4 citation statements)

References 4 publications

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“…There have been many attempts to produce evidence of postexponential decay, with little success [5,6,7,8,9]. It has been argued that repetitive measurements on the same system, or simply the interaction with the environment would lead to persistence of the exponential regime to times well beyond those expected in an isolated system [2,10,11].…”

Section: Introductionmentioning

confidence: 99%

Enhanced observability of quantum postexponential decay using distant detectors

Torrontegui¹,

Muga²,

Martorell³

et al. 2009

Phys. Rev. A

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We study the elusive transition from exponential to post-exponential (algebraic) decay of the probability density of a quantum particle emitted by an exponentially decaying source, in one dimension. The main finding is that the probability density at the transition time, and thus its observability, increases with the distance of the detector from the source, up to a critical distance beyond which exponential decay is no longer observed. Solvable models provide explicit expressions for the dependence of the transition on resonance and observational parameters, facilitating the choice of optimal conditions.

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Section: Introductionmentioning

confidence: 99%

Enhanced observability of quantum postexponential decay using distant detectors

Torrontegui¹,

Muga²,

Martorell³

et al. 2009

Phys. Rev. A

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“…It follows then using ( 1) and (17), that ( 22) leads exactly to the expression of the nonexponential survival amplitude at long times given by (20). In an analogous way, the first term in ( 21) corresponds exactly to (18).…”

mentioning

confidence: 81%

“…It is worth mentioning that the failure to find deviations of the exponential decay law at long times in radioactive nuclei [17,18], contributed to the widespread view that nonexponential decay contributions were beyond experimental reach or even to the alternative explanation that the interaction of the decaying system with the environment would enforce exponential decay at all times [19,20]. However, the experimental verification in recent times of short-time deviations from exponential decay [21] and the quantum Zeno effect [22,23] together with the measurement of the deviations from exponential decay law at long times in organic molecules in solution, that exhibited distinct inverse power behaviors in time [24], have demonstrated that nonexponential decay is an observable quantum effect.…”

mentioning

confidence: 99%

The exponential-nonexponential transition in quantum decay as a phenomenon of interference in time domain of the decaying particle with itself

García-Calderón,

Romo

2019

Preprint

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By using an exact analytical non-Hermitian approach in terms of resonance (quasinormal) states we express the decaying wave function as the sum of exponential and nonexponential decaying solutions to the time-dependent Schrödinger equation. We show that the exponential-nonexponential transition of decay at long times represents physically a process of interference in time domain of the decaying particle with itself.

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“…Subsequent theoretical work investigated further the issue of the approximate nature of the exponential decay law [25,26] and pro-vided also estimates of the above time scale for values R 1 [27][28][29]. This is of interest because it gave an explanation of the failure of finding deviations of the exponential decay law at long times in radioactive nuclei [30,31]. Norman et.al.…”

Section: Introductionmentioning

confidence: 99%

Nonexponential tunneling decay of a single ultracold atom

García–Calderón

Romo²

2016

Phys. Rev. A

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By using an exact analytical approach to the time evolution of decay we investigate the tunneling decay of ultracold single atoms, to discuss the conditions for deviations of the exponential decay law. We find that $R$, given by the ratio of the energy of the decaying fragment $\mathcal{E}_r$ to its corresponding width $\Gamma_r$, is the relevant quantity in this study. When $R$ is less than $0.3$ the decay of the atom goes to a good approximation for the first few lifetimes as $\exp(-\Gamma_rt/2\hbar)t^{-3/2}$. We also find that for values of $R \sim 1$, the nonexponential behavior occurs in a post-exponential regime that goes as $t^{-3}$ after around a dozen of lifetimes. The above conditions depend on suitable designed potential parameters and suggest that for values $R \lesssim 1$, the experimental verification of nonexponential decay might be possible.Comment: 9 pages, 7 figure

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Non-exponential deviations in decay of unstable systems

Cited by 7 publications

References 4 publications

Enhanced observability of quantum postexponential decay using distant detectors

Enhanced observability of quantum postexponential decay using distant detectors

The exponential-nonexponential transition in quantum decay as a phenomenon of interference in time domain of the decaying particle with itself

Nonexponential tunneling decay of a single ultracold atom

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