Topic: Geometric Phase of Non-Hermitian Quantum System

Reporter: Professor Zheng Yujun

Time: 9:00, November 27, 2018

Report location: 504, Life Science Building

Hosted by: Institute of Atomic and Molecular Physics

Introduction:

Zheng Yujun is a professor at the School of Physics, Shandong University.

Mainly engaged in molecular dynamics statistics and quantum dynamics, single-molecule system spectroscopy and related research work.

He successively worked as a postdoctoral fellow at the Fritz Harbor Molecular Dynamics Center of The Hebrew University of Jerusalem (ISRAEL); a visiting scholar at the Weizmann Institute of Science (ISRAEL) in Israel; and a visiting scholar at the University of California, USA University of California, Irvine & Santa Barbara (University of California, Irvine & Santa Barbara) as postdoctoral and visiting researcher; Massachusetts Institute of Technology (MIT) visiting professor.With funding from the National Natural Science Foundation of China and the 973 project of the Ministry of Science and Technology, more than 100 academic papers have been published in academic journals such as Phys. Rev. Lett., Nat. Commun., Phys. Rev. A, and J. Chem. Phys., Co-authored 3 academic works and 1 monograph. Won the first prize of Natural Science of Shandong Province, the second prize of Natural Science of the Ministry of Education, etc.

Abstract:

Quantum geometric phase has important meaning in quantum physics. Driven by Berry’s work, quantum geometric phase has received widespread attention as a neglected physical quantity hidden in the amplitude of probability. It has triggered various branches of physics, including quantum optics, atomic and molecular physics, and condensed matter physics. Existing results in science and topology are applied to extensive and in-depth research and discussion. One of the axioms of traditional or standard quantum mechanics is to assume that all mechanical quantity operators are Hermitian. As an attempt to popularize traditional quantum mechanics, the biggest contribution of non-Hermitian quantum mechanics is to cancel the requirement of the mechanical quantity operator Hermitian, which can expand the set of mechanical quantity operators, effectively describe novel physical phenomena and provide Powerful analytical and numerical methods. In this report, I will introduce the calculation method of the geometric phase of the non-Hermitian quantum system we have established; at the same time, applying this theory, I will study the application of a single molecule to achieve a phase shift gate.