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(광학분야 세미나) Non-Hermitian physics and non-Hermitian singularity

2022.08.29 14:06

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날짜 2022-12-07 16:00 
일시 Dec. 7 (Wed.) 2022, 4:00PM 
장소 E6-2 #1323 
연사 유정완(기초과학연구원, Center for Theoretical Physics of Complex Systems 교수) 
* Title: Non-Hermitian physics and non-Hermitian singularity
 
* Speaker: Jung-Wan Ryu (IBS, Center for Theoretical Physics of Complex Systems)
 
* Date: 4pm, 7th December (Wednesday) (Note that the schedule has changed.)
 
* Place: E6 1323 (no zoom broadcasting)
 
Abstract: We will introduce non-Hermitian phenomena and non-Hermitian degeneracy, i.e., exceptional point (EP), which are ubiquitous in various physical systems. We will also discuss classifications of multiple arbitrary-order EPs by invoking the permutation group and its conjugacy classes [1]. We classify topological structures of Riemann surfaces generated by multiple states around multiple arbitrary-order EPs, using the permutation properties of stroboscopic encircling EPs. All possible permutations of products of holonomy matrices describing encircling a 2nd-order EP are revealed and classified into finite numbers of classes according to the topological structures of Riemann surfaces. Finally, the results are realized in non-Hermitian effective Hamiltonian based on Jordan normal forms and fully desymmetrized optical microcavities.
 
 [1] Jung-Wan Ryu, Jae-Ho Han, and Chang-Hwan Yi, Classification of multiple arbitrary-order non-Hermitian singularities, Phys. Rev. A 106, 012218 (2022).
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