Manipulation of Population Levels through Zeno-Type Measurements

Author:

Contreras Sánchez Javier1,Castillo-Alvarado Fray de Landa1,Hernández-Pozos José Luis2ORCID

Affiliation:

1. Escuela Superior de Físico-Matemáticas, Instituto Politécnico Nacional, Mexico City 07738, Mexico

2. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Mexico City 09310, Mexico

Abstract

We present a scheme, based on Bloch equations and Zeno-type measurements, that allows the control of the probability density evolution of the eigenstates of a V-type system. The equations are solved numerically and we present how the population in each level can be controlled using different sequences of “pulse measurements”. The entropy between the “measurement device” and the field used to perform the measurement process is evaluated for different strengths of such field, these calculations show that the entropy is maximized when we are in the Zeno regime. The results shown here unveil different possible strategies for controlling the population levels of a V-type system and could be implemented, for example, in trapped ions or RMN qubits.

Publisher

MDPI AG

Subject

Radiology, Nuclear Medicine and imaging,Instrumentation,Atomic and Molecular Physics, and Optics

Reference25 articles.

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3. Quantum Zeno effect;Itano;Phys. Rev. A,1990

4. Contribution to the decay theory of a quasi-stationary state;Khalfin;Sov. Phys. JETP,1958

5. Tracking the dynamics of an ideal Quantum Measurement;Pokorny;Phys. Rev. Lett.,2020

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