A general framework for the Quantum Zeno and anti-Zeno effects

Chaudhry, Adam Zaman

doi:10.1038/srep29497

Cited by 49 publications

(88 citation statements)

References 58 publications

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“…with sinc(x) ≡ sin(x)/x. Note that the spectral profile function can be generalized to the case where no assumption is made beforehand about the state that is being repeatedly prepared [18]. In Fig.…”

Section: Monitored Spontaneous Emission: General Analysismentioning

confidence: 99%

Conditions for anti-Zeno-effect observation in free-space atomic radiative decay

et al. 2018

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Frequent measurements can modify the decay of an unstable quantum state with respect to the free dynamics given by Fermi's golden rule. In a landmark article [A. G. Kofman and G. Kurizki, Nature (London) 405, 546 (2000)], Kofman and Kurizki concluded that in quantum decay processes, acceleration of the decay by frequent measurements, called the quantum anti-Zeno effect (AZE), appears to be ubiquitous, while its counterpart, the quantum Zeno effect, is unattainable. However, up to now there have been no experimental observations of the AZE for atomic radiative decay (spontaneous emission) in free space. In this work, making use of analytical results available for hydrogen-like atoms, we find that in free space, only non-electric-dipolar transitions should present an observable AZE, revealing that this effect is consequently much less ubiquitous than first predicted. We then propose an experimental scheme for AZE observation, involving the electric quadrupole transition between D 5/2 and S 1/2 in the alkali-earth ions Ca + and Sr + . The proposed protocol is based on the stimulated Raman adiabatic passage technique which acts like a dephasing quasi-measurement.

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Section: Monitored Spontaneous Emission: General Analysismentioning

confidence: 99%

Conditions for anti-Zeno-effect observation in free-space atomic radiative decay

et al. 2018

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“…In Refs. [29,32,33], an alternative method based on the local properties of the decay rate is followed to characterize the QZE and the QAZE by numerical calculation. The QZE takes place when the effective decay rate decreases as the measurement interval becomes smaller, i.e., dγ eff (τ )/dτ > 0.…”

Section: Explicit Criterion For the Qze And Qazementioning

confidence: 99%

Criterion for quantum Zeno and anti-Zeno effects

et al. 2018

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In this work, we study the decay behavior of a two-level system under the competing influence of a dissipative environment and repetitive measurements. The sign of the second derivative of the environmental spectral density function with respect to the system transition frequency is found to be a sufficient condition to distinguish between the quantum Zeno (negative) and the anti-Zeno (positive) effects raised by the measurements. We check our criterion for practical measurement intervals, which are larger than the conceptual Zeno time, in various environments. In particular, with the Lorentzian spectrum, the quantum Zeno and anti-Zeno phenomena are found to emerge respectively in the near-resonant and off-resonant cases. For the interacting spectra of hydrogenlike atoms, the quantum Zeno effect usually occurs and the anti-Zeno effect can rarely occur unless the transition frequency is close to the cut-off frequency. With a power-law spectrum, we find that sub-Ohmic and super-Ohmic environments lead to the quantum Zeno and anti-Zeno effects, respectively.

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“…However, when the measurement rate is low, repeated observations can enhance the loss of atoms in the measurement subspace and thus allows for the decay of the quantum system. This decrease in survival probability is known as the quantum anti-Zeno effect [32][33][34]. The existence of a relationship between dynamical decoupling methods and the application of a sequence of projective measurements for noise spectroscopy is also formally discussed in [35].…”

Section: Introductionmentioning

confidence: 99%

Experimental proof of quantum Zeno-assisted noise sensing

Lovecchio

Mastroserio

et al. 2019

New J. Phys.

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In the ideal quantum Zeno (QZ) effect, repeated quantum projective measurements can freeze the coherent dynamics of a quantum system. However, in the weak QZ regime, measurement backactions can allow the sensing of semi-classical field fluctuations. In this regard, we theoretically show how to combine the controlled manipulation of a quantum two-level system, used as a probe, with a sequence of projective measurements to have direct access to the noise correlation function. We experimentally test the effectiveness of the proposed noise sensing method on a properly engineered Bose-Einstein condensate of Rb 87 atoms realized on an atom chip. We believe that our QZ-based approach can open a new path towards novel quantum sensing devices.

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A general framework for the Quantum Zeno and anti-Zeno effects

Cited by 49 publications

References 58 publications

Conditions for anti-Zeno-effect observation in free-space atomic radiative decay

Conditions for anti-Zeno-effect observation in free-space atomic radiative decay

Criterion for quantum Zeno and anti-Zeno effects

Experimental proof of quantum Zeno-assisted noise sensing

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