Alternative scheme to generate a supersinglet state of three-level atoms
W.-C. Qiang, W. B. Cardoso, A. T. Avelar, and B. Baseia

TL;DR
This paper presents a new cavity QED-based method for generating a supersinglet state of three three-level atoms using two-photon transitions, involving sequential atom-cavity interactions and field detection.
Contribution
It introduces an alternative scheme utilizing a single-mode cavity and two-photon transitions to produce supersinglet states of three atoms, with analysis of fidelity and feasibility.
Findings
High fidelity achievable with proper interaction times
Success probability depends on detection and initial states
Scheme feasible with current cavity QED technology
Abstract
In this paper we propose an alternative scheme to generate a supersinglet state of three three-level atoms via a single-mode of a cavity QED based on the two-photon transitions described by the 'full microscopical Hamiltonian approach'. In it, three three-level atoms prepared in suitable initial states are sequentially sent through the cavity originally prepared in its vacuum state. After an appropriate choice of the atom-cavity interaction times plus a field detection the state that describes the whole atom-field system is projected in the desired supersinglet state. The fidelity and success probability of the state as well as the practical feasibility of the scheme are discussed.
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