Squeezing enhanced ground-state cooling of semiconductor qubit coupled with mechanical resonator in microwave cavity

We analyze ground-state cooling of a mechanical vibration mode in a system consisting of a semiconducting qubit in a microwave cavity coupled with a mechanical resonator. The development of quantum optomechanics prompts quantum computing and quantum information technology. To enhance ground-state cooling and improve the cooling efficiency we use squeezing light as driving. We have demonstrated that squeezing light enhances cooling efficiency significantly and more completely, whereas the conventional cooling method is insufficient. Our proposed system is successful (without entangling the microwave cavity) in cooling the mechanical motion in both the classical and quantum regimes. In the presence of the semiconducting qubit, we have achieved cooling of the mechanical resonators from the base temperature of 4.2K\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$4.2 \text{K}$$\end{document} down to 2.5mK +/- 0.3mK\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2.5 \text{mK} \pm 0.3 \text{mK}$$\end{document}. The optical force spectrum splits and gives rise to heating and cooling peaks due to the presence of semiconducting qubit. Destructive interference in the transition pathways mechanism is used for designing the microwave cavity system so that unwanted transitions (which contribute to heating) interfere destructively, canceling each other and enhancing the cooling efficiency by minimizing the energy transferred back to the mechanical resonator. By tuning gqb\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${g}_{\text{qb}}$$\end{document} (coupling between semiconducting qubit and phonon) and g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g$$\end{document} (coupling between photon with phonon) and also power and amplitude of squeezed light, detuning one can control the rates of both cooling and heating transitions. This study may help to design quantum dot refrigerators, cooling devices, and transfer quantum states in quantum communication technology.