時間：12月22日(四) 13：20 ~ 14：50
題目：Nanophotonics for Compound Semiconductor Technologies & Applications
Time: 2:00pm~3:20pm, December 15 (Thursday)
Title: The Bethe Ansatz Method and Quantum Integrability: Exact Solutions of Models of Strongly Interacting Quantum Matter
Speaker: Dr. Hans-Peter Eckle
(Humboldt Study Centre, Ulm University, Germany)
Place: online speech https://meet.google.com/ndj-aqqz-xuo
Students should attend the lecture in Science Building III 1F SC157
The method to solve a strongly interacting quantum many-particle model, the Heisenberg quantum spin chain, devised by Hans Albrecht Bethe in 1931, has since been developed into a versatile set of methodologies to calculate non-perturbatively the physical properties of models of quantum matter. In the nine decades since Bethe’s work, the Bethe ansatz has grown into an important field of mathematical and theoretical physics as both, the method itself and the range of solved models, have been vastly extended. Moreover, it was discovered that the models exhibit an infinite number of conserved quantities: the exactly solved models are quantum integrable. The quantum physical models amenable to an exact solution by Bethe ansatz range from condensed matter and quantum optical physics to quantum field and string
theory and have even fertilised pure mathematics.
We shall concentrate our discussion on condensed matter systems, such as quantum spin chains and one-dimensional electronic models, e.g. the Hub-bard and Kondo models, and models relevant for quantum optics, such as the quantum Rabi and Jaynes-Cummings models. Furthermore, we shall touch briefly on the ongoing quest for a consistent definition of quantum integrability.
時間：12月8日(四) 13：20 ~ 14：50
題目：Quantum Walk: Entanglement between coin and position spaces
地點：本校科學三館1樓 SC157 (本次演講與電物系共同上課，講員於次軒廳演講，透過 google meet於SC157轉播)
Abstract: Quantum entanglement is that when a particle in a system is measured, not only the measured particle, but all the particles of the system, will immediately collapse to the classical result. Quantum entanglement brings bright prospects for the development of new technologies and will create the future quantum earth. Quantum walks are also the result of the entanglement of coins and position spaces, exhibiting very different characteristics than classical random walks. Quantum walks can provide exponential speedups compared to classical algorithms in some applications due to iterative shift and coin operators. Here, we mainly discuss two very different applications: fundamental physics and big data analytics. Majorana 1+1 spacetime dynamics and options pricing models with quantum walks show promise for quantum computing.
Wei-Ting Wang, Xiao-Gang He, Hsien-Chung Kao, Ching-Ray Chang , https://arxiv.org/abs/2210.00306 .