Field Squeezing in a Quantum-Dot Molecule Jaynes-Cummings Model

Xu Chu,Qingchun Zhou,Ying Wang,Yu Zhou,Xiaodong Ma

doi:10.1155/2014/395836

Abstract

We investigate the field squeezing in a system composed of an initial coherent field interacting with two quantum dots coupled by electron tunneling. An approximate quantum-dot molecule Jaynes-Cummings model describing the system is given, and the effects of physical quantities, such as the temperature, phonon-electron interaction, mean photon number, field detuning, and tunneling-level detuning, are discussed in detail.

Highlights

Thanks to the rapid progress of nanotechnologies, the exploration of the quantum-dot system, a mesoscopic synthetic material with a quantum confinement configuration, has provided a versatile tool for the simulation of many interesting phenomena in condensed matter physics [1, 2], among which, the quantum-dot molecule (QDM), formed from an asymmetric double quantum-dot system coupled by tunneling, has attracted much attention recently
Based on the study of JaynesCummings model, a fully quantum mechanical model and one of the few exactly solvable models that describes an atom in an external field, many studies have been made including the generalization of the model, such as applying the initial conditions [3], considering the dissipation and damping [4], multilevel of atoms, and multimode field [5, 6]
We can see that electronphonon coupling can make a significant contribution to the light-QDM interaction which can make the oscillation of the population of the state more drastic than that without the phonon effect [19]

Summary

Introduction

Thanks to the rapid progress of nanotechnologies, the exploration of the quantum-dot system, a mesoscopic synthetic material with a quantum confinement configuration, has provided a versatile tool for the simulation of many interesting phenomena in condensed matter physics [1, 2], among which, the quantum-dot molecule (QDM), formed from an asymmetric double quantum-dot system coupled by tunneling, has attracted much attention recently. New trends in nanotechnology even enable us to manipulate this kind of QDM using the external controlment, that is, electric field or optical field. For its artificial nature and properties similar to natural atoms and molecules, the QDM, an ideal candidate for the mimic of atoms interacting with external fields, has been studied extensively, because its levels could be controlled conveniently and tuned [16]. This paper is arranged as follows; the section gives the model of the external field interacting with a QDM and Advances in Optics the equations describing the system are given; in Section 3 the squeezing of the optical field is considered from different perspectives while Section 4 gives the discussion and summary. The substitution of state vector (3) into Schrodinger’s equation yields a set of differential equations describing the expanding coefficients as

The Model

Squeezing of the System

Findings

Conclusion