Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models

Abstract

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.

12 pages, 4 Figures, comment welcome to: [email protected]

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Cited by in corpus (5)

• SUSY design of smooth quantum rings in graphene
• Macroscopic Schrödinger-cat states of nonequilibrium electrons induced by cat-state optical driving and projective measurements on the light field
• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• Landau levels of a Dirac electron in graphene from non-uniform magnetic fields
• SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters