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

目的：利用新的解析和数值量子场理论技术，对半导体结构中激子、光子和极化子的量子多体纠缠进行建模和模拟。智力优势：我们计划研究由超短激光脉冲产生的激子之间的纠缠，并将这种纠缠映射到光子上。我们计划发展能解释激子和光子纠缠的微扰和非微扰理论。作为一种微扰方法，我们推导了一种新的量子场理论图解技术来描述激子和光子在电场或激子和光子数量的任意顺序下的极化和多体纠缠。我们的计算考虑了所有电子和空穴的相关性，也就是说，我们不把激子当作玻色子。作为一种非微扰方法，我们计划推广半导体Bloch方程（SBEs），因为我们额外考虑了两粒子相关函数的时间演化。由于sbe是用密度矩阵表示的，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内研究。考虑到量子点中具有局域自旋的光子纠缠，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组成的后端程序代码来适应学生的个性化需求。我们的程序代码前端将通过交互式可视化和游戏的方式教授学生量子多体相关和纠缠的基础知识。基于量子隐形传态和量子计算的关键应用将点燃学生的好奇心。更广泛的影响：我们的理论努力旨在通过光纤和卫星产生一个全球量子网络，这需要一个多体理论来彻底描述我们半导体结构中的多体纠缠。我们的研究将需要受过量子多体物理训练的科学家。因此，向研究生和本科生教授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个有前途的领域的多学科应用研究的基础，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.