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Journal of the Optical Society of America B

Tunneling-induced large fifth-order nonlinearity with competing linear and nonlinear susceptibilities

Yandong Peng, Aihong Yang, Bing Chen, Yan Xu, Xiaojun Hu

Published Aug 22, 2014• 13 citations
Publisher

Abstract

Tunneling-induced large fifth-order nonlinearity is theoretically demonstrated in a double-quantum-dot system. The resonant tunneling induces constructive interference for the third- and fifth-order nonlinear effects. The competition between the linearity and nonlinearity leads to a transparency window at some frequency detunings, where the fifth-order nonlinear refractive index could be increased to be more than one order of magnitude larger than that on resonance. An analytical expression shows that the resonant tunneling mainly contributes to the dramatic enhancement of the fifth-order nonlinear response.

DOI
10.1364/josab.31.002188

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Tunneling-induced large fifth-order nonlinearity is theoretically demonstrated in a double-quantum-dot system. The resonant tunneling induces constructive interference for the third- and fifth-order nonlinear effects. The competition between the linearity and nonlinearity leads to a transparency window at some frequency detunings, where the fifth-order nonlinear refractive index could be increased to be more than one order of magnitude larger than that on resonance. An analytical expression shows that the resonant tunneling mainly contributes to the dramatic enhancement of the fifth-order nonlinear response.
We investigate tunneling induced nonlinear absorption phenomena in a coupled quantum-dot system. Resonant tunneling causes constructive interference in the nonlinear absorption that leads to an increase of more than an order of magnitude over the maximum absorption in a coupled quantum dot system without tunneling. Resonant tunneling also leads to a narrowing of the linewidth of the absorption peak to a sublinewidth level. Analytical expressions show that the enhanced nonlinear absorption is largely due to the fifth-order nonlinear term. Competition between third- and fifth-order nonlinearities leads to an anomalous dispersion of the total susceptibility.
Enhanced fifth-order nonlinearity with Fano interference is theoretically studied in asymmetric double quantum wells. The resonant tunneling induces constructive interference for third- and fifth-order nonlinearities. Their competition causes a transparency window at some frequency detuning, where the fifth-order refractive index can be simultaneously enhanced by Fano interference. Simulation results show that fifth-order nonlinearity can be enhanced by about 10 times compared to that without the Fano effect. Also, the influence of different strengths of resonant tunneling coupling and Fano interference on enhanced high-order nonlinearity is discussed.
Schemes for giant fifth-order nonlinearity via tunneling in both linear and triangular triple quantum dots are proposed. In both configurations, the real part of the fifth-order nonlinearity can be greatly enhanced, and simultaneously the absorption is suppressed. The analytical expression and the dressed states of the system show that the two tunnelings between the neighboring quantum dots can induce quantum interference, resulting in the giant higher-order nonlinearity. The scheme proposed here may have important applications in quantum information processing at low light level.
A scheme for giant enhancement of the Kerr nonlinearity in linear triple quantum dot molecules is proposed. In such a system, the tunneling-induced transparency window obtained in double quantum dot molecules splits into two windows, due to the coupling with the third quantum dot. And most important, the Kerr nonlinearity can be enhanced by several orders of magnitude, compared with that generated in double quantum dot molecules. With proper detuning of the tunneling, giant Kerr nonlinearity accompanied by vanishing absorption can be realized, which opens the possibility to enhance self-phase modulation in tunneling controllable semiconductor nanostructures under conditions of low light levels. Quantitative analysis shows that the giant Kerr nonlinearity is attributed to the interacting double dark resonances induced by the tunneling between the triple quantum dots, therefore no extra laser fields are required.
We study the nonlinear optical properties in an asymmetric double AlGaAs/GaAs quantum well nanostructure by using an external control field and resonant tunneling effects. It is found that the resonant tunneling can modulate the third-order and fifth-order of susceptibilities via detuning frequency of coupling light. In presence of the resonant tunneling and when the coupling light is in resonance with the corresponding transition, the real parts of third-order and fifth-order susceptibilities are enhanced which are accompanied by nonlinear absorption. However, in off-resonance of coupling light, real parts of third-order and fifth-order susceptibilities enhance while the nonlinear absorption vanishes. We investigate also the two-dimensional electromagnetically induced grating (2D-EIG) of the weak probe light by modulating the third-order and fifth-order susceptibilities. In resonance of coupling light, both amplitude and phase grating are formed in the medium due to enhancement of third-order and fifth-order probe absorption and dispersion. When the coupling light is out of resonance, most of probe energy is transferred from zero-order to higher-order directions due to resonant tunneling effect. The efficiency of phase grating for third-order of susceptibility is higher than phase grating for fifth-order susceptibility. Our proposed model may be useful for optical switching and optical sensors based on semiconductor nanostructures.
In the present work, the linear and nonlinear optical properties of quantum dot molecules composed of two quantum dots as well as three quantum dots molecules, respectively known as double quantum dot (DQD) molecule and triple quantum dot (TQD) molecules are studied using the probability amplitude method, and the obtained results are discussed and compared. By solving the state equations of these systems in the interaction picture, under the rotating wave approximation and the dipole approximation, the first and third-order susceptibilities for DQD and TQD molecules are calculated. A phenomenon called tunneling-induced transparency (TIT) which is similar to electromagnetically induced transparency (EIT) is studied in these types of quantum dot molecules. The effect of key system parameters such as tunneling couplings between quantum dots and the tunneling intensity on the linear and nonlinear optical response of multiple quantum dot molecules DQD and TQD is investigated. It was shown that the position and the width of the TIT window created in these quantum dot molecules can be tuned by changing the physical parameters.