The quantum Zeno and anti-Zeno effects: from weak to strong system-environment coupling

Khalid, Bilal; Chaudhry, Adam Zaman

doi:10.1140/epjd/e2019-90681-3

Cited by 7 publications

(5 citation statements)

References 59 publications

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“…By subjecting a quantum system to frequent and repeated projective measurements, we can slow down its temporal evolution, an effect referred to as the quantum Zeno effect (QZE) 1 – 24 . Contrary to this effect is the quantum anti-Zeno effect (QAZE), via which the temporal evolution of the system is accelerated due to repeated projective measurements separated by relatively longer measurement intervals 25 – 38 . Both these effects have garnered great interest not only due to their theoretical relevance to quantum foundations but also due to their applications to quantum technologies.…”

Section: Introductionmentioning

confidence: 99%

A generalized framework for the quantum Zeno and anti-Zeno effects in the strong coupling regime

Khan

Soomro

Baig

et al. 2022

Sci Rep

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It is well known that repeated projective measurements can either slow down (the Zeno effect) or speed up (the anti-Zeno effect) quantum evolution. Until now, studies of these effects for a two-level system interacting with its environment have focused on repeatedly preparing the excited state via projective measurements. In this paper, we consider the repeated preparation of an arbitrary state of a two-level system that is interacting strongly with an environment of harmonic oscillators. To handle the strong interaction, we perform a polaron transformation and then use a perturbative approach to calculate the decay rates for the system. Upon calculating the decay rates, we discover that there is a transition in their qualitative behaviors as the state being repeatedly prepared continuously moves away from the excited state and toward a uniform superposition of the ground and excited states. Our results should be useful for the quantum control of a two-level system interacting with its environment.

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Section: Introductionmentioning

confidence: 99%

A generalized framework for the quantum Zeno and anti-Zeno effects in the strong coupling regime

Khan

Soomro

Baig

et al. 2022

Sci Rep

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“…In the QZE, repeated measurements hinder the time evolution of the quantum system 1 – 23 . However, it has also been observed that if the measurements are not rapid enough, a reverse effect, known as a quantum anti-Zeno effect (QAZE), can occur whereby the measurements accelerate the quantum evolution 24 – 36 . Both the QZE and the QAZE have gained considerable interest theoretically and experimentally due to their huge importance in the foundations of quantum mechanics as well as possible applications in quantum technologies.…”

Section: Introductionmentioning

confidence: 99%

The quantum Zeno and anti-Zeno effects with driving fields in the weak and strong coupling regimes

Majeed

Chaudhry

2021

Sci Rep

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Repeated measurements in quantum mechanics can freeze (the quantum Zeno effect) or enhance (the quantum anti-Zeno effect) the time-evolution of a quantum system. In this paper, we present a general treatment of the quantum Zeno and anti-Zeno effects for arbitrary driven open quantum systems, assuming only that the system–environment coupling is weak. In particular, we obtain a general expression for the effective decay rate of a two-level system subjected to arbitrary driving fields as well as periodic measurements. We demonstrate that the driving fields change the decay rate, and hence the quantum Zeno and anti-Zeno behavior, both qualitatively and quantitatively. We also extend our results to systems consisting of more than one two-level system, as well as a two-level system strongly coupled to an environment of harmonic oscillators, to further illustrate the non-trivial effect of the driving fields on the quantum Zeno and anti-Zeno effects.

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“…By subjecting a quantum system to frequent and repeated projective measurements, we can slow down its temporal evolution, an effect referred to as the quantum Zeno effect (QZE) . Contrary to this effect is the quantum anti-Zeno effect (QAZE), via which the temporal evolution of the system is accelerated due to repeated projective measurements separated by relatively longer measurement intervals [24][25][26][27][28][29][30][31][32][33][34][35][36] . Both these effects have garnered great interest not only due to their theoretical relevance to quantum foundations but also due to their applications to quantum technologies.…”

Section: Introductionmentioning

confidence: 99%

The quantum Zeno and anti-Zeno effects in the strong coupling regime

Khan¹,

Soomro²,

Baig³

et al. 2021

Preprint

Self Cite

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It is well known that repeated projective measurements can either speed up (the Zeno effect) or slow down (the anti-Zeno effect) quantum evolution. Until now, however, studies of these effects for a two-level system interacting strongly with its environment have focused on repeatedly preparing the excited state of the two-level system via the projective measurements. In this paper, we consider the repeated preparation of an arbitrary state of a two-level system that is interacting strongly with an environment of harmonic oscillators. To handle the strong interaction, we perform a polaron transformation, and thereafter use a perturbative approach to calculate the decay rates for the system. Upon calculating the decay rates, we discover that there is a transition in their qualitative behaviors as the state being repeatedly prepared moves away from the excited state towards a superposition of the ground and excited states. Our results should be useful for the quantum control of a two-level system interacting with its environment.

show abstract

The quantum Zeno and anti-Zeno effects: from weak to strong system-environment coupling

Cited by 7 publications

References 59 publications

A generalized framework for the quantum Zeno and anti-Zeno effects in the strong coupling regime

A generalized framework for the quantum Zeno and anti-Zeno effects in the strong coupling regime

The quantum Zeno and anti-Zeno effects with driving fields in the weak and strong coupling regimes

The quantum Zeno and anti-Zeno effects in the strong coupling regime

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