Electromagnetically Induced Transparency Using a Artificial Molecule in Circuit Quantum Electrodynamics

Hai-Chao Li,Guo-Qin Ge

doi:10.4236/opj.2013.32b007

Abstract

Electromagnetically induced transparency (EIT) having wide applications in quantum optics and nonlinear optics is explored ordinarily in various atomic systems. In this paper we present a theoretical study of EIT using supercon- ducting circuit with a V-type artificial molecule constructed by two Josephson charge qubits coupled each other through a large capacitor. In our theoretical model we make a steady state approximation and obtain the analytical expressions of the complex susceptibility for the artificial system via the density matrix formalism. The complex susceptibility has additional dependence on the qubit parameters and hence can be tuned to a certain extent.

Highlights

Induced transparency (EIT) [1,2] through quantum coherent effects has attracted considerable interest due to its extensive applications in quantum optics and atomic physics
In this paper we present a theoretical study of Electromagnetically induced transparency (EIT) using supercon- ducting circuit with a V-type artificial molecule constructed by two Josephson charge qubits coupled each other through a large capacitor
In contrast to the usual weak probe regime, EIT can be realized in the strong probe regime [6], where population inversion is not correlated with optical gain and the traditional corresponddence between inversion and gain is not satisfied

Summary

Introduction

Induced transparency (EIT) [1,2] through quantum coherent effects has attracted considerable interest due to its extensive applications in quantum optics and atomic physics. EIT has been observed experimentally in the Vtype [4] and cascade-type [5] energy level configurations. Circuit quantum electrodynamics(QED) [7,8], where transmission line resonator plays the role of cavity and superconducting qubit [9,10] behaves as artificial atom to replace the natural atom, has recently become a new testbed for quantum optics. Have being extensively studied in traditional atomic systems, investigations of EIT phenomena in superconducting circuits based on mesoscopic Josephson junctions are still scarce. Experimental observation of EIT has been reported by using a single artificial atom coupled to a 1D transmission line [16] and EIT can be utilized as a sensitive probe of decoherence in superconducting circuits [19].

The Model of Artificial Molecule

Complex Susceptibility

Conclusions