Quantum Control for Zeno effect with noises
- URL: http://arxiv.org/abs/2402.13325v2
- Date: Thu, 22 Feb 2024 17:28:30 GMT
- Title: Quantum Control for Zeno effect with noises
- Authors: Haorui Chen, Shengshi Pang
- Abstract summary: The quantum Zeno effect is a distinctive phenomenon in quantum mechanics, describing the nontrivial effect of frequent projective measurements on hindering the evolution of a quantum system.
This research studies the physical mechanism for the decay of the quantum Zeno effect in the presence of noises.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The quantum Zeno effect is a distinctive phenomenon in quantum mechanics,
describing the nontrivial effect of frequent projective measurements on
hindering the evolution of a quantum system. However, when subjecting to
environmental noises, the quantum system may dissipate and the quantum Zeno
effect no longer works. This research studies the physical mechanism for the
decay of the quantum Zeno effect in the presence of noises, and investigates
the effect of coherent quantum controls on mitigating the decrease of the
survival probability that the system stays in the initial state induced by the
noises. We derive the decay rate of the survival probability with and without
coherent quantum controls in general, and show that when the frequency of the
projective measurements is large but finite, proper coherent controls by
sufficiently strong Hamiltonians can be designed to decrease the decay rate of
the survival probability. A two-level quantum system suffering from typical
unitary and non-unitary noises is then considered to demonstrate the effect of
the proposed coherent quantum control scheme in protecting the quantum Zeno
effect against the noises. The decay rate of the survival probability is
obtained in the presence of the noises, and the control Hamiltonian is further
optimized analytically to minimize the decay rate by a variational approach.
The evolution paths of the quantum system with the optimal coherent controls is
illustrated numerically for different scenarios to explicitly show how the
coherent control scheme works in lowering the decay of survival probability.
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