Título

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

Autor

BLAS MANUEL RODRIGUEZ LARA

FRANCISCO SOTO EGUIBAR

ALEJANDRO ZARATE CARDENAS

Héctor Manuel Moya Cessa

Nivel de Acceso

Acceso Abierto

Licencia

http://creativecommons.org/licenses/by-nc-nd/4.0

Materias

Propagation - (INSPEC) Coupled Resonators - (INSPEC) Photonic Crystals - (INSPEC) Quantum Optics - (INSPEC) Quantum Electrodynamics - (INSPEC) Guided Wave Applications - (INSPEC) CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA - (CTI) FÍSICA - (CTI) ÓPTICA - (CTI) ÓPTICA - (CTI)

Resumen o descripción

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.

Editor

Optics Express

Fecha de publicación

23 de marzo de 2013

Tipo de publicación

Artículo

Versión de la publicación

Versión aceptada

Recurso de información

http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/2197

Formato

application/pdf

Idioma

Inglés

Audiencia

Estudiantes

Investigadores

Público en general

Sugerencia de citación

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

Repositorio Orígen

Repositorio Institucional del INAOE

Descargas

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