The quantum Zeno and anti-Zeno effects in the strong coupling regime
- URL: http://arxiv.org/abs/2112.04850v1
- Date: Thu, 9 Dec 2021 11:46:25 GMT
- Title: The quantum Zeno and anti-Zeno effects in the strong coupling regime
- Authors: Ghazi Khan, Hudaiba Soomro, Muhammad Usman Baig, Irfan Javed, Adam
Zaman Chaudhry
- Abstract summary: We study the effects of repeated projective measurements on a two-level system interacting strongly with its environment.
Our results should be useful for the quantum control of a two-level system interacting with its environment.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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