Quantum Zeno Effect, Nuclear Conversion and Photoionization in Solids

Панов, А. Д.

doi:10.1006/aphy.1996.0063

Cited by 17 publications

(36 citation statements)

References 28 publications

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“…In this case one can see again that the Zeno time t Z has a value similar to (14), and the inequality t Z ≪ t a is satisfied.…”

Section: Short-time Behavior and The Zeno Regionmentioning

confidence: 76%

“…For this case, one can see that the time t a has scaling properties which differ from (11) while the Zeno time t Z has a value similar to (14). For ϕ 2 , the matrix element V 2 exists so the usual time t a can be introduced:…”

Section: Short-time Behavior and The Zeno Regionmentioning

confidence: 99%

“…The QZE has been discussed for many physical systems including atomic physics [10][11][12][13], radioactive decay [14], mesoscopic physics [15][16][17][18], and has been even proposed as a way to control decoherence for effective quantum computations [19]. Recently, however, a quantum anti-Zeno effect has been found [20,21].…”

Section: Introductionmentioning

confidence: 99%

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Quantum Zeno and anti-Zeno effects in the Friedrichs model

et al. 2001

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“…In this case one can see again that the Zeno time t Z has a value similar to (14), and the inequality t Z ≪ t a is satisfied.…”

Section: Short-time Behavior and The Zeno Regionmentioning

confidence: 76%

Section: Short-time Behavior and The Zeno Regionmentioning

confidence: 99%

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Quantum Zeno and anti-Zeno effects in the Friedrichs model

et al. 2001

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“…It has been discussed in the areas of radioactive decay [3], polarized light [4], the physics of atoms [5,6], neutron physics [7], quantum optics [8,9] and mesoscopic physics [10][11][12]. As a matter of fact, the theoretical and experimental efforts has been mainly concentrated on quantum transitions between isolated levels [15] characterized by an oscillatory behavior.…”

mentioning

confidence: 99%

Influence of measurement on the lifetime and the linewidth of unstable systems

Elattari

Gurvitz

2000

Phys. Rev. A

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We investigate the quantum Zeno effect in the case of electron tunneling out of a quantum dot in the presence of continuous monitoring by a detector. It is shown that the Schrödinger equation for the whole system can be reduced to Bloch-type rate equations describing the combined time-development of the detector and the measured system. Using these equations we find that continuous measurement of the unstable system does not affect its exponential decay to a reservoir with a constant density of states. The width of the energy distribution of the tunneling electron, however, is not equal to the inverse life-time -it increases due to the decoherence generated by the detector. We extend the analysis to the case of a reservoir described by an energy dependent density of states, and we show that continuous measurement of such quantum systems affects both the exponential decay rate and the energy distribution. The decay does not always slow down, but might be accelerated. The energy distribution of the tunneling electron may reveal the lines invisible before the measurement.

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“…The possibility of the Zeno effect in the initial non-exponential stage of a spontaneous decay is yet under discussion [4]. It was argued [5] that the Zeno effect is observed in the real radioactive decay. A review on the subject can be found in [6].…”

Section: Introductionmentioning

confidence: 99%

Quantum Zeno effect in the decay onto an unstable level

Mensky¹

1999

Physics Letters A

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Under certain assumptions it is shown that the decay of level 2 of a three-level system onto level 1 is slowed down because of the further decay of level 1 onto level 0. It is argued that this phenomenon may be interpreted as a consequence of the quantum Zeno effect. The reason why this may be possible is that the second decay (or accompanying photon radiation) may be considered as a sign of the transition 2 → 1 so that during the first transition the system is under continuous observation.

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Quantum Zeno Effect, Nuclear Conversion and Photoionization in Solids

Cited by 17 publications

References 28 publications

Quantum Zeno and anti-Zeno effects in the Friedrichs model

Quantum Zeno and anti-Zeno effects in the Friedrichs model

Influence of measurement on the lifetime and the linewidth of unstable systems

Quantum Zeno effect in the decay onto an unstable level

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