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

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 e...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Khan, Ghazi, Soomro, Hudaiba, Baig, Muhammad Usman, Javed, Irfan, Adam Zaman Chaudhry
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.12.2021
Subjects
Decay rate
Excitation
Harmonic oscillators
Mathematical analysis
Strong interactions (field theory)
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422