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Physics Letters A

Path integral approach to the supersymmetric generalized Jaynes–Cummings model

Khireddine Nouicer, L. Chétouani

Published Mar 1, 2001• 7 citations
Publisher
DOI
10.1016/s0375-9601(01)00036-6

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Physica Scripta•Sep 1, 1996•14 citations
The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated. Published by the American Physical Society 2024