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Temporal Behavior of Quantum Systems and Quantum Zeno Effect

Saverio Pascazio, Hiromichi Nakazato, Mikio Namiki

Springer eBooksJan 1, 19980 citations

Universal Zeno competition in the dissipative Jaynes-Cummings model

Hai‐Chao Li, Wei Xiong, Guo-Qin Ge +1 more

In this paper we demonstrate competitive Zeno physics in the dissipative Jaynes-Cummings model. The mechanism relies on Zeno coexistence between the single-mode field and the environment. We show that the Zeno suppression of coherent evolution predicted by the standard Jaynes-Cummings model can dramatically fail in the presence of the dissipative environment. For hydrogen atom, such a Zeno effect is not usually observable because the environment ignored previously would, in fact, work in a dominant manner. Moreover, beyond the extremely short-time measurement limit in atomic decay, the Zeno time for hydrogen reaches ${10}^{\ensuremath{-}10}$ s in the dressed-state picture, which presents an immediately realizable Zeno scheme for the decay of a real atom in the current technology.In this paper we demonstrate competitive Zeno physics in the dissipative Jaynes-Cummings model. The mechanism relies on Zeno coexistence between the single-mode field and the environment. We show that the Zeno suppression of coherent evolution predicted by the standard Jaynes-Cummings model can dramatically fail in the presence of the dissipative environment. For hydrogen atom, such a Zeno effect is not usually observable because the environment ignored previously would, in fact, work in a dominant manner. Moreover, beyond the extremely short-time measurement limit in atomic decay, the Zeno time for hydrogen reaches ${10}^{\ensuremath{-}10}$ s in the dressed-state picture, which presents an immediately realizable Zeno scheme for the decay of a real atom in the current technology.

Physical Review AMay 16, 20222 citations

Quantum dynamics of a hydrogen-like atom in a time-dependent box: non-adiabatic regime

S. Rakhmanov, Davron Matrasulov, Victor I. Matveev

arXiv:1703.04945The European Physical Journal DOct 1, 201810 citations

Nonexponential Decay Law of the 2P-1S Transition of the H Atom

Francesco Giacosa, Krzysztof Kyzioł

We evaluate numerically the survival probability P(t) for the unstable 2P excited state of the hydrogen atom that decays into the ground-state 1S by emitting one photon (τ ≈ 1.595 ns), thus extending the analytic study of Facchi and Pascazio, Phys. Lett. A 241, 139 (1998). To this end, we first determine the analytic expression of the spectral function of the unstable state, which allows for an accurate evaluation of P(t). As expected, for short and long time scales, P(t) shows deviations from the exponential law: a 'Zeno' region occurs at extremely short times (up to ≈ 0.3 attosec), followed by a longer 'anti-Zeno' domain (up to ≈ 50 attosec); at long times above 125 τ the decay law scales as t-4.We evaluate numerically the survival probability P(t) for the unstable 2P excited state of the hydrogen atom that decays into the ground-state 1S by emitting one photon (τ ≈ 1.595 ns), thus extending the analytic study of Facchi and Pascazio, Phys. Lett. A 241, 139 (1998). To this end, we first determine the analytic expression of the spectral function of the unstable state, which allows for an accurate evaluation of P(t). As expected, for short and long time scales, P(t) shows deviations from the exponential law: a 'Zeno' region occurs at extremely short times (up to ≈ 0.3 attosec), followed by a longer 'anti-Zeno' domain (up to ≈ 50 attosec); at long times above 125 τ the decay law scales as t-4.

arXiv:2408.06905Acta Physica Polonica ANov 1, 20242 citations

Modifying the lifetime of an unstable system by an intense electromagnetic field

Saverio Pascazio, Paolo Facchi A

We study the temporal behavior of a three-level system (such as an atom or a molecule), initially prepared in an excited state, bathed in a laser field tuned at the transition frequency of the other level. We analyze the dependence of the lifetime of the initial state on the intensity of the laser field. The phenomenon we discuss is related to both electromagnetic induced transparency and quantum Zeno effect.

arXiv:quant-ph/9904076Acta Physica Slovaca Reviews and TutorialsApr 21, 199910 citations

Quantum Zeno dynamics of a Rydberg atom

S. Gleyzes, Adrien Signoles, Adrien Facon +5 more

Bulletin of the American Physical SocietyJun 5, 20140 citations

Temporal behavior and quantum Zeno time of an excited state of the hydrogen atom

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