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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Electromagnetically-induced-transparency-related phenomena and their mechanical analogs

Full text
Author(s):
Souza, J. A. [1, 2] ; Cabral, L. [1] ; Oliveira, R. R. [1] ; Villas-Boas, C. J. [1]
Total Authors: 4
Affiliation:
[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Paulo - Brazil
[2] Univ Fed Sao Carlos, Dept Fis Quim & Matemat, BR-18052780 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review A; v. 92, n. 2 AUG 11 2015.
Web of Science Citations: 17
Abstract

Systems of interacting classical harmonic oscillators have received considerable attention in the past years as analog models for describing electromagnetically induced transparency (EIT) and associated phenomena. We review these models and investigate their validity for a variety of physical systems using two and three coupled harmonic oscillators. From the simplest EIT-Lambda configuration and two coupled single cavity modes we show that each atomic dipole-allowed transition and a single cavity mode can be represented by a damped harmonic oscillator. Thus, we have established a one-to-one correspondence between the classical and quantum dynamical variables. We show the limiting conditions and the equivalent for the EIT dark state in the mechanical system. This correspondence is extended to other systems that present EIT-related phenomena. Examples of such systems are two-and three-level (cavity EIT) atoms interacting with a single mode of an optical cavity and four-level atoms in a inverted-Upsilon and tripod configurations. The established equivalence between the mechanical and the cavity EIT systems has been corroborated by experimental data. The analysis of the probe response of all these systems also brings to light a physical interpretation for the expectation value of the photon annihilation operator < a >. We show that it can be directly related to the electric susceptibility of systems, the composition of which includes a driven cavity-field mode. (AU)

FAPESP's process: 13/04162-5 - Development of quantum sensors based on ultracold atoms
Grantee:Philippe Wilhelm Courteille
Support type: Research Projects - Thematic Grants
FAPESP's process: 14/07350-0 - The 24th International Conference on atomic physics - ICAP 2014
Grantee:James Alves de Souza
Support type: Research Grants - Meeting - Abroad
FAPESP's process: 13/01182-5 - Quantum optical phenomena in cavity QED and its applications: towards quantum computing
Grantee:James Alves de Souza
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 12/00176-9 - Dynamics of open quantum systems: quantum-classical transition and electromagnetically induced transparency in optical cavities
Grantee:Celso Jorge Villas-Bôas
Support type: Regular Research Grants