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Applied Optics

Entanglement in ladder-plus-Y double quantum dot structure via entropy

Hakeem H. Al–Ameri, Muwaffaq Abdullah, Amin Habbeb AL-Khursan

Published Jan 4, 2019• 31 citations
Publisher

Abstract

Quantum entropy in a ladder-plus-Y double quantum dot system was calculated. The controlling parameters that are examined are four coherent optical fields, three tunneling components, and incoherent optical pumping. This work differs from others by the inclusion of a wetting layer (WL) and the calculation of momenta for each transition. The results showed that the entropy depends on the difference between the carrier occupations in the states of these two quantum dots (QDs). It is also shown that the probe optical field reduces the entropy, while the pumping field increases it. Turning off the main tunneling component removes the entropy, while high WL-QD momentum increases the entropy. Taking the same value of momentum for all transitions (the case of other works) underestimates the entropy.

DOI
10.1364/ao.58.000369

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Quantum entropy in a ladder-plus-Y double quantum dot system was calculated. The controlling parameters that are examined are four coherent optical fields, three tunneling components, and incoherent optical pumping. This work differs from others by the inclusion of a wetting layer (WL) and the calculation of momenta for each transition. The results showed that the entropy depends on the difference between the carrier occupations in the states of these two quantum dots (QDs). It is also shown that the probe optical field reduces the entropy, while the pumping field increases it. Turning off the main tunneling component removes the entropy, while high WL-QD momentum increases the entropy. Taking the same value of momentum for all transitions (the case of other works) underestimates the entropy.
Second-order nonlinear susceptibility (SONS) in a ladder-plus-Y double quantum dot structure was modeled and then studied numerically under the application of an electric field. The density matrix theory was used to formulate the system while the orthogonalized plane waves for wetting layer-quantum dot (WL-QD) were considered to state the momentum matrix elements for this system. It is found that the momenta follow the smallest energy difference between states with an obvious overlap of the mediated states. Since WL-QD momenta are small, neglecting WL gives high SONS. Millimeter waves are predicted, and a huge SONS can be obtained by the application of more optical fields, which is important in medical and biological applications. The possibility of changing light speed between subluminal and superluminal was predicted here. This opens the way for many applications like multichannel waveguide-multichannel quantum information processing, real quality imaging, and temporal clock.
A model was presented for linear susceptibility in ladder-plus-Y configuration of double quantum dot system using density matrix theory and including spontaneously generated coherence of Λ-type system. Wetting layer and quantum dot inhomogeneity were considered in the calculations, which gives a practical description of double quantum dot structures well. With increasing spontaneously generated coherence from Λ-component, the dispersion was increased and shifted under spontaneously generated coherence. The inclusion of wetting layer under spontaneously generated coherence increases gain which coincides with the published results. A possibility of slow light was predicted.
We investigated theoretically the entanglement creation through tunneling rate and fields in a four-level triple quantum dot molecule based on InAs/GaAs/AlGaAs heterostructure in both steady state and transient state. We demonstrate that the entanglement entropy among the QDM and its spontaneous emission fields can be controlled by coherent and incoherent pumping field and tunnel-coupled electronics levels. The results may provide some new possibilities for technological applications in solid-state quantum information science, quantum computing, teleportation, encryption, compression codec, and optoelectronics.
The time evaluation of quantum entropy in the quintuple-coupled quantum dots based on a GaAs/AlGaAs heterostructure is theoretically investigated. The quantum entanglement of quantum dot molecules (QDMs) and their spontaneous emission fields is then discussed via quantum entropy. The effects of the tunneling effect, i.e. T , an incoherent pumping field and voltage controllable detuning on entanglement between QDMs and their spontaneous emission fields is then discussed. We found that in the presence of the tunneling effect and an incoherent pumping field the entanglement between the QDMs and their spontaneous emission fields is increased, while in the presence of voltage controllable detuning the entanglement reduced. Finally, we investigated the switching time from a disentangled state to an entangled state. The results may provide some new possibilities for technological applications in optoelectronics, solid-state quantum information science, quantum computing, teleportation, encryption, and compression codec.
A model of the dynamical equations of the density matrix describes double tunnelling between double quantum dot (QD) system states, this is to study Kerr nonlinearity in QD structure. Inhomogeneity in the QD system is included which is not included in earlier studies of Kerr nonlinearity in QDs. Possibilities of subluminal and superluminal light propagation and switching between them are examined. Double tunnelling is shown to obtain giant Kerr dispersion compared with single tunnelling. High conduction- and low valence-band tunnelling components are required to obtain high Kerr dispersion. Working with one tunnel component reduced Kerr dispersion and switching between subluminal and superluminal can be obtained and the EIT window can be removed.