QMHP: Quantum-field theoretical modeling and simulation of many-body entanglement of excitons and photons in semiconductor structures

目的：我们的理论研究的目标是通过新的量子场理论的解析和数值方法来模拟半导体结构中激子、光子和极化激元的量子多体纠缠。智力价值：我们计划研究由超短激光脉冲产生的激子之间的纠缠以及这种纠缠到光子的映射。我们计划发展微扰和非微扰理论来解释激子和光子的纠缠。 作为一种微扰方法，我们导出了一种新的量子场理论图解法，用来描述激子和光子在任意电场阶数或激子和光子数阶数下的极化和多体纠缠。我们的计算考虑了所有的电子和空穴相关性，也就是说，我们不把激子当作玻色子。作为一种非微扰方法，我们计划推广的半导体布洛赫方程（SBE），我们还考虑了时间演化的两粒子关联函数。由于SBE是用密度矩阵来表示的，因此库仑交换、无序、声子、核自旋等引起的退相干可以在同一框架下进行研究。考虑到量子点等局域自旋光子的纠缠，我们将开发一种基于多体理论的量子隐形传态和量子计算的新方法。教育活动：我们的目标是为分析和数值量子场论领域的本科生和研究生提供个性化的电子学习系统，该系统能够通过由人工神经网络制成的后端程序代码来适应学生的个性化需求。我们程序代码的前端将通过交互式可视化和游戏的方式向学生教授量子多体关联和纠缠的基础知识。基于量子隐形传态和量子计算的关键应用将激发学生的好奇心。更广泛的影响：我们的理论工作旨在通过光纤和卫星产生全球量子网络，这需要多体理论来彻底描述我们半导体结构中的多体纠缠。我们的研究将创造一个在量子多体物理学训练的科学家的需求。因此，教授研究生和本科生量子多体效应的基础知识变得至关重要。我们的教育计划是促进这一具有多学科应用前景的领域研究的基础，如量子隐形传态，量子通信，光学计算机，光自旋电子学和量子计算。

Objective:The goal of our proposed theoretical research is to model and simulate the quantum many-body entanglement of excitons, photons, and polaritons in semiconductor structures by means of new analytical and numerical quantum-field theoretical techniques.Intellectual merit:We plan to investigate the entanglement among excitons produced by ultrashort laser pulses and the mapping of this entanglement onto photons. We plan to develop perturbative and non-perturbative theories that can account for the entanglement of excitons and photons. As a perturbative method, we have derived a new quantum-field theoretical diagrammatic technique to describe polarization and many-body entanglement of excitons and photons in arbitrary order of the electric field or the number of excitons and photons. Our calculations take all electron and hole correlations into account, i.e. we do not treat the excitons as bosons. As a non-perturbative method, we plan to generalize the semiconductor Bloch equations (SBEs) in that we additionally consider the time evolution of the two-particle correlation functions. Since SBEs are formulated in terms of a density matrix, decoherence due to Coulomb exchange, disorder, phonons, nuclear spins, etc. can be studied in the same framework. Taking into account the entanglement of photons with localized spins in e.g. quantum dots, we will develop a new method for quantum teleportation and quantum computing based on many-body theory.Educational activity:It is our goal to provide undergraduate and graduate students in the fields of analytical and numerical quantum field theory with a personalized e-learning system that is able to adapt to the individual needs of a student by means of a back-end program code made of an artificial neural network. The front-end of our program code will teach the students the basics of quantum many-body correlations and entanglement by means of interactive visualization and game-play. Key applications based on quantum teleportation and quantum computing will ignite the curiosity of the students.Broader impact:Our theoretical efforts aim at producing a global quantum network over optical fibers and satellites, which requires a many-body theory for the thorough description of many-body entanglement in our semiconductor structures. Our research will create a need of scientists trained in quantum many-body physics. Consequently, teaching graduate and undergraduate students the basics of quantum many-body effects becomes essential. Our education program is the basis for boosting research in this promising field with multidisciplinary applications, such as quantum teleportation, quantum communication, optical computers, optospintronics, and quantum computing.