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記
日時：２０１９年１１月２７日（水）１３時３０分〜 Wed, Nov 27, 1:30pm
場所：東京大学 生産技術研究所 千葉実験所 研究実験棟Ｉn210号室
道程：http://hatano-lab.iis.u-tokyo.ac.jp/access-j.html (English: hatano-lab.iis.u-tokyo.ac.jp/access-e.html)
講師：Yogesh Joglekar さん (IUPUI, USA) Dr. Yogesh Joglekar (IUPUI, USA)
演題：Complete set of conserved quantities in parity-time symmetric systems: theory, observation, and consequences
要旨：Conserved quantities of a system are determined by its global, local, or accidental symmetries. They were instrumental to advances such as the prediction of neutrinos in the (inverse) beta decay process and the development of self-consistent approximate methods for isolated or thermal many-body systems. In contrast, little is known about conservation laws and their consequences in open systems. Recently, a special class of these systems, called parity-time (PT ) symmetric systems, has been intensely explored for their remarkable properties that are absent in their closed counterparts. A complete characterization and observation of conserved quantities in these systems and their consequences is still lacking. We will present a complete set of conserved observables for a broad class of PT -symmetric Hamiltonians and experimentally demonstrate their properties using single-photon linear optical circuit. By simulating the dynamics of a four-site system across a fourth
-order exceptional point, we measure its four conserved quantities and demonstrate their consequences. Our results spell out non-local conservation laws in non-unitary dynamics and provide key elements that will underpin self-consistent analysis of non-Hermitian, quantum, many-body systems that are forthcoming.
参考文献
[1] Collaboration work with Prof. Peng Xue’s group.
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李 宰河
〒277-8574 千葉県柏市柏の葉5-1-5
東京大学生産技術研究所
e-mail: lee@iis.u-tokyo.ac.jp
Tel: 04-7136-6977
Fax: 04-7136-6978
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