Controllable double tunneling induced optical soliton storage in linear triple quantum dot molecules

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THE EUROPEAN PHYSICAL JOURNAL D

Regular Article

Controllable double tunneling induced optical soliton storage in linear triple quantum dot molecules Yin Wang, Jianwen Dinga , and Denglong Wangb Department of Physics & Institute for Nanophysics and Rare-earth Luminescence, Xiangtan University, Xiangtan 411105, Hunan, P.R. China Received 29 October 2019 / Received in final form 9 May 2020 / Accepted 6 August 2020 Published online 22 September 2020 c EDP Sciences / Societ`

a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. We propose an asymmetric linear triple quantum dot molecule model for a recent experimental device with a double neighboring dot-dot tunneling coupling, of which the linear and nonlinear dynamical properties are analytically studied by using an amplitude variable approach combined with multi-scale method. It is shown that double transparency windows are formed by the double tunneling coupling. Both dark and bright optical solitons are then obtained, of which both the types and the propagating velocity can be controlled by the two tunneling coupling strengths. Interestingly, the propagating velocity of the solitons can approach to zero at certain tunneling coupling strengths, the motionless optical solitons appearing there. The results indicate potential applications of the semiconductor quantum devices for optical soliton storage.

1 Introduction Soliton can travel over long distance without attenuation and shape change [1,2], due to the balance of the interplay between dispersion and nonlinearity in nonlinear media, which becomes a good information carrier in quantum information processing and transmission. Especially, the electromagnetic induced transparency (EIT) effect was observed in the ultra-cold atomic system, based on quantum coherence and interference, from which very strong nonlinear effect can be induced by weak probe light excitation [3]. This provides a good platform for people to manipulate soliton dynamical behaviors. With the emergence of dark state polarized photon theory [4–7], EIT-based optical storage had been reported theoretically and experimentally [8–15]. Liu et al. [10] reported that laser pulses can be confined by EIT in the cold cloud of sodium atoms for up to 1 ms. Phillips et al. [11] had accomplished storage of light by dynamically reducing the group velocity of the light pulse to zero in a vapor of Rb atoms. Furthermore, Huang et al. [12–15] predicted that the storage of optical solitons is more desirable than that of linear optical pulses in the cold atomic system. For the practical application, however, it is a large challenge to control accurately the optical solitons storage in the atomic EIT medium at low temperature and rarefaction. Semiconductor quantum dots (QDs), of which discrete energy levels and optical properties are very similar to a b

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those of the atomic vapors, can be used to perform atomic physics experiments in solid-state structures [16]. With the matu