【报告题目】Truth and Beauty: Quantum Entanglement Theory and Its Generic Searches at the Colliders
【报告人】李田军教授 河南师范大学物理学院
【报告时间】11月12日（周四）10:00
【报告地点】科技楼29-414
【报告摘要】The quantum entangled state, which does not violate the Bell non-locality, can violate the Bell non-locality due to the super-activation. Thus, the quantum entanglement is indeed one of the most important properties of quantum mechanics, i.e., Truth of Nature. We shall propose the quantum entanglement theory from mathematical point of view, i.e., Beauty of Theory. For pure states, considering a general quantum system with N particles, we show that the quantum space (the total spin polarization parameter space) is complex projective space, and the classical space (the spin polarization parameter space for classical theory) is the cartesian product of the complex projective spaces. Thus, the classical space is the (generalized) Sagre variety in the quantum space, and the quantum entanglement space is the difference of these two spaces. For mixed states, the sufficient and necessary conditions for quantum entanglement can be given as a set of algebraic equations, which are simple and can be solved easily for physical systems. In addition, we propose a generic method to calculate the quantum range and classical range for the expectation value of any physics observable at the collider, and thus we can probe the quantum entanglement spaces which the previous ways cannot. However, there is a circular argument issue. Furthermore, to probe the quantum entanglement consistently in high energy physics, we show that we can determine the spin analyzing powers or their products via the invariants of the spin correlation matrix and spin density matrix, probe the quantum entanglement and Bell non-locality, as well as exclude the local hidden variable theory. Therefore, we can evade the circular argument issue and solve the no-go theorem problem.
【报告人简介】李田军，河南师范大学物理学院教授。1991年7月毕业于武汉大学物理系理论物理专业，获学士学位；1994年7月毕业于中国科学院理论物理研究所，获粒子物理专业硕士学位；2000年8月毕业于美国威斯康星大学麦迪逊分校物理系，获粒子物理专业博士学位（辅修数学）。2000年9月至2002年8月在美国宾夕法尼亚大学物理与天文学系从事博士后研究，2002年9月至2005年8月任普林斯顿高等研究院研究员，2005年10月起任中国科学院理论物理研究所研究员，后调任河南师范大学教授。曾获威斯康星大学麦迪逊分校J. Van Vleck奖学金及普林斯顿高等研究院研究员资助。研究领域涵盖粒子物理唯象学、大一统理论、弦理论唯象学及宇宙学等。
