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arXiv:1310.4599

Tunneling induced transparency and controllable group velocity in triple and multiple quantum-dot molecules

Si-Cong Tian, Cunzhu Tong, Ren-Gang Wan, Yongqiang Ning, Lijun Wang

Published Oct 17, 2013• 2 citations
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Abstract

We analyze the interaction of a triple quantum dot molecules controlled by the tunneling coupling instead of coupling laser. A general analytic expression for the steady-state linear susceptibility for a probe-laser field is obtained and we show that the system can exhibit two transparency windows. The group velocity of the probe-laser pulse is also analyzed. By changing the tunneling couplings, two laser pulses with different central frequency can propagate with the same group velocity. And the group velocity can be as low as 300 m/s in our system. We extend our analysis to the case of multiple quantum dot molecules (the number of the quantum dots is N) and show that the system can exhibit at most N-1 transparency windows. And at most N-1 laser pulses with different central frequencies can be slowed down.

DOI
10.48550/arxiv.1310.4599

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We analyze the interaction of a triple quantum dot molecules controlled by the tunneling coupling instead of coupling laser. A general analytic expression for the steady-state linear susceptibility for a probe-laser field is obtained and we show that the system can exhibit two transparency windows. The group velocity of the probe-laser pulse is also analyzed. By changing the tunneling couplings, two laser pulses with different central frequency can propagate with the same group velocity. And the group velocity can be as low as 300 m/s in our system. We extend our analysis to the case of multiple quantum dot molecules (the number of the quantum dots is N) and show that the system can exhibit at most N-1 transparency windows. And at most N-1 laser pulses with different central frequencies can be slowed down.
We analyze the interaction of N laser fields with a (N+1)(N+1)(N+1)-level quantum system. A general analytic expression for the steady-state linear susceptibility for a probe-laser field is obtained and we show that the system can exhibit multiple electromagnetically induced transparency, with at most $N\ensuremath{-}1$ transparency windows occurring in the system. The group velocity of the probe-laser pulse can also be controlled.
We investigate the dynamic propagation of a probe field via the tunneling-induced interference effect in a triple model of quantum dot molecules. By theoretical analysis and numerical simulation, we find that the number of transparency window relate to the energy splitting and the group velocity of probe field can be effectively controlled by the tunneling coupling intensity. In addition, in the process of light storage and retrieval, when the excited states have no energy splitting in the storage stage but opposite values of the energy splitting in the retrieval stage, the beating signals can be generated.
This letter investigates the dispersion and absorption properties of a weak probe field in a multiple quantum dot molecule composed of four quantum dots. It is found that, by manipulating the electric field, the inter-dot tunneling coupling and the laser detunings, the transparency window as well as the positive derivative in the refractive index can be efficiently qualified. It is shown that switching from positive to negative dispersion or vice versa can be achieved by changing the tunneling couplings. Moreover, we realize that the width and the number of transparency windows can be properly controlled by adjusting the system's parameters. We show that this multiple QD medium can experience very narrow transparency windows accompanied by very steep positive dispersions. The effect of an incoherent pumping field on the absorption–dispersion properties of the QD molecule is then discussed. We note that tunneling is used in this QD system instead of coupling lasers.
We investigated the steady optical properties of the triple quantum dots, which obtain a tunneling-induced effect by using the external electric field. Our numerical results shown that the electromagnetically induced transparency can be achieved via the tunneling-induced effect. In addition, we examined the propagation dynamics of a probe field in this system and found that the probe field group velocities and their absorption were related to the tunneling coupling intensities. This finding allowed us to control the probe field to obtain ultraslow group velocities and a tunable optical switch. Finally, using this scheme it was possible to store and release the probe field by modulating the tunneling coupling sequences.
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.
A switch is proposed for controlling the subluminal and superluminal light propagation through the triple coupled quantum dots system. The steady-state and transient behavior of the absorption and the dispersion of a probe pulse through a triple quantum dots molecule are investigated. We demonstrate that the group velocity of a light pulse can be controlled from subluminal to superluminal or vice versa by controlling the rates of incoherent pumping and tunneling between electronic levels. Switching time is calculated by discussing the dependency of optical transient properties on the incoherent pumping and inter-dot tunneling rates. We introduce three controlling parameters that make it possible to control the wave propagation electrically or even optically in such coupled quantum dot systems.