Title

A classical simulation of nonlinear Jaynes–Cummings and Rabi models in photonic lattices

Author

BLAS MANUEL RODRIGUEZ LARA

FRANCISCO SOTO EGUIBAR

ALEJANDRO ZARATE CARDENAS

Héctor Manuel Moya Cessa

Access level

Open Access

Summary or description

The interaction of a two-level atom with a single-mode quantized field is one of the simplest models in quantum optics. Under the rotating wave approximation, it is known as the Jaynes-Cummings model and without it as the Rabi model. Real-world realizations of the Jaynes-Cummings model include cavity, ion trap and circuit quantum electrodynamics. The Rabi model can be realized in circuit quantum electrodynamics. As soon as nonlinear couplings are introduced, feasible experimental realizations in quantum systems are drastically reduced. We propose a set of two photonic lattices that classically simulates the interaction of a single two-level system with a quantized field under field nonlinearities and nonlinear couplings as long as the quantum optics model conserves parity. We describe how to reconstruct the mean value of quantum optics measurements, such as photon number and atomic energy excitation, from the intensity and from the field, such as von Neumann entropy and fidelity, at the output of the photonic lattices. We discuss how typical initial states involving coherent or displaced Fock fields can be engineered from recently discussed Glauber-Fock lattices. As an example, the Buck-Sukumar model, where the coupling depends on the intensity of the field, is classically simulated for separable and entangled initial states.

Publisher

Optics Express

Publish date

March 23, 2013

Publication type

Article

Publication version

Accepted Version

Format

application/pdf

Language

English

Audience

Students

Researchers

General public

Citation suggestion

Rodríguez-Lara, B. M., et al., (2013). A classical simulation of nonlinear Jaynes–Cummings and Rabi models in photonic lattices, Optics Express, Vol. 21(10):1-13

Source repository

Repositorio Institucional del INAOE

Downloads

37

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