東京大学生産技術研究所の李と申します。
羽田野研究室では、下記の通りセミナーを開催致します。
皆様の奮ってのご参加をお待ちしております。
なお、当研究室におけるセミナー情報は、次のリンクよりご覧頂けます。
http://hatano-lab.iis.u-tokyo.ac.jp/seminar-j.html
当セミナーは原則として現地会場での開催となりますが、オンライン参加をご希望の方はご連絡下さい。
＊本案内は複数のメーリングリストにお送りしております。重複して受け取られました方は何卒ご容赦下さい。
Dear All,
This is Jaeha Lee from the Institute of Industrial Science, the University of Tokyo.
We are pleased to announce an upcoming seminar as follows.
Information regarding our seminar series is available on our web site.
http://hatano-lab.iis.u-tokyo.ac.jp/seminar-e.html
Those who are interested are welcome to join us on-site. For those who wish to join us online, please feel free to contact us.
* Apologies if you have received multiple copies of this announcement.
記
日時：２０２４年１２月１２日（木）１４時３０分〜 / Thursday, 12th December 2024, 14:30 JST -
場所：東京大学生産技術研究所 研究実験棟Ｉ大会議室 / The large conference room, Research and Testing Complex I, IIS, the University of Tokyo
来場：http://hatano-lab.iis.u-tokyo.ac.jp/access-j.html / http://hatano-lab.iis.u-tokyo.ac.jp/access-e.html
講師：沼澤宙朗（Numasawa Tokiro）さん（東大物性研 / ISSP, U. Tokyo）
演題：The SYK model with dissipation
要旨：We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the Majorana fermion operators. In the limit of large N, where N is the number of Majorana fermion operators, the SYK Lindbladians are analytically tractable, and we obtain their stationary Green's functions, from which we can read off the decay rate. For finite N, we also study the distribution of the eigenvalues of the SYK Lindbladians. Then, we consider the time evolution of the dissipative form factor, which quantifies the average overlap between the initial and time-evolved density matrices as an open quantum generalization of the Loschmidt echo. We find that the dissipative form factor exhibits dynamical quantum phase transitions. We analytically demonstrate a discontinuous dynamical phase transition in the limit of a large number of fermion flavors, which is formally akin to the thermal phase transition in the two-coupled SYK model between the black-hole and wormhole phases. Furthermore, we numerically show that signatures of the dynamical quantum phase transitions remain to appear even in the finite number of fermion flavors. Finally, we show the symmetry classification of the SYK Lindbladians. If time allows, I will comment on possible connections to de Sitter wormholes. This talk is based on the papers arxiv:2112.13489, arXiv:2210.04093 and arXiv:2212.00605.
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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
電 話：04-7136-6962
メール：lee@iis.u-tokyo.ac.jp
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