Nonexponential decay of Feshbach molecules

Pepe, F.; Facchi, Paolo; Kordi, Zeinab; Pascazio, Saverio

doi:10.1103/physreva.101.013632

Cited by 9 publications

(7 citation statements)

References 53 publications

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“…Due to the generality of the question it addresses, survival analysis has been widely used in science and engineering. Examples include Feshbach resonances and the quantum Zeno effect (for example [8][9][10]), engineering reliability analysis [11], financial risk management [12], and event history analysis in sociology [13]. Moreover, in the specific case of an OU process survival analyses from neuroscience [14] and epidemiology [15,16] to quantitative finance [17][18][19] and extreme value statistics of correlated random variables [20] demonstrate the ubiquity of the approach.…”

Section: Introductionmentioning

confidence: 99%

Analytical Survival Analysis of the Ornstein–Uhlenbeck Process

2020

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We use asymptotic methods from the theory of differential equations to obtain an analytical expression for the survival probability of an Ornstein–Uhlenbeck process with a potential defined over a broad domain. We form a uniformly continuous analytical solution covering the entire domain by asymptotically matching approximate solutions in an interior region, centered around the origin, to those in boundary layers, near the lateral boundaries of the domain. The analytic solution agrees extremely well with the numerical solution and takes into account the non-negligible leakage of probability that occurs at short times when the stochastic process begins close to one of the boundaries. Given the range of applications of Ornstein–Uhlenbeck processes, the analytic solution is of broad relevance across many fields of natural and engineering science.

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Section: Introductionmentioning

confidence: 99%

Analytical Survival Analysis of the Ornstein–Uhlenbeck Process

2020

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“…Classic experiments on the subject include negative results from studies of 56 Mn nuclear decay tests [7] and an indirect observation claimed in investigations of 8 Be scattering phase shifts [8]. More recently, a variety of physical systems ranging from integrated photonics [9] to Feshbach molecules [10] have emerged as platforms for the exploration of nonexponential decay. Extensive theoretical work has been directed toward nonexponential decay of autoionising resonances in atomic systems [11][12][13] and laser-induced ionisation effects [14,15], although this remains at the frontier of experimental feasibility.…”

Section: Introductionmentioning

confidence: 99%

Probing Nonexponential Decay in Floquet–Bloch Bands

Cao

Fujiwara

Sajjad

et al. 2020

Zeitschrift Für Naturforschung A

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Exponential decay laws describe systems ranging from unstable nuclei to fluorescent molecules, in which the probability of jumping to a lower-energy state in any given time interval is static and history-independent. These decays, involving only a metastable state and fluctuations of the quantum vacuum, are the most fundamental nonequilibrium process and provide a microscopic model for the origins of irreversibility. Despite the fact that the apparently universal exponential decay law has been precisely tested in a variety of physical systems, it is a surprising truth that quantum mechanics requires that spontaneous decay processes have nonexponential time dependence at both very short and very long times. Cold-atom experiments have proven to be powerful probes of fundamental decay processes; in this article, we propose the use of Bose condensates in Floquet–Bloch bands as a probe of long-time nonexponential decay in single isolated emitters. We identify a range of parameters that should enable observation of long-time deviations and experimentally demonstrate a key element of the scheme: tunable decay between quasi-energy bands in a driven optical lattice.

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“…The interaction of an atomic system with a surrounding photonic bath yields a correction to the atomic transition energy, referred to as Lamb shift [1], and gives rise to the process of spontaneous emission. The latter is described in the Markovian limit as an exponential decay [2,3], while a much more sophisticated behavior was predicted and verified in non-Markovian regimes [4,5]. If multiple emitters are present, a shared photonic bath acts as a carrier of interactions among them and is responsible for collective emission, such as Casimir effect [6] or Dicke superradiance [7].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous emission in dispersive media without point-dipole approximation

Scala,

Pepe,

Facchi

et al. 2020

Preprint

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We study a two-level quantum system embedded in a dispersive environment and coupled with the electromagnetic field. We expand the theory of light-matter interactions to include the spatial extension of the system, taken into account through its wavefunctions. This is a development beyond the point-dipole approximation. This ingredient enables us to overcome the divergence problem related to the Green tensor propagator. Hence, we can reformulate the expressions for the spontaneous emission rate and the Lamb shift. In particular, the inclusion of the spatial structure of the atomic system clarifies the role of the asymmetry of atomic states with respect to spatial inversion in these quantities.

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Nonexponential decay of Feshbach molecules

Cited by 9 publications

References 53 publications

Analytical Survival Analysis of the Ornstein–Uhlenbeck Process

Analytical Survival Analysis of the Ornstein–Uhlenbeck Process

Probing Nonexponential Decay in Floquet–Bloch Bands

Spontaneous emission in dispersive media without point-dipole approximation

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