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。
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.
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：２０２５年０５月２９日（木）１４時００分〜 / Thursday, 29th May 2025, 14:00 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 / hatano-lab.iis.u-tokyo.ac.jp/access-e.html
講師：石井敬直（Ishii Takanao）さん（東大 / U. Tokyo）
演題：Quantum i.i.d. steady states in open quantum many-body systems
要旨：Quantum entanglement and spatial correlations serve as powerful probes of phase transitions in closed quantum systems and are expected to play an equally pivotal role in characterizing phase transitions in open quantum systems, particularly in the context of dissipative phase transitions [1, 2]. Since dissipative phase transitions manifest themselves as a dramatic change of steady states as a function of external parameters, investigating quantum entanglement and spatial correlations of steady states is a crucial step toward understanding such phase transitions. However, the conditions for quantum entanglement and spatial correlations to vanish in the steady state of an open quantum many-body system governed by the GKSL dynamics are yet to be established.
As an initial step toward resolving the aforementioned problem, we obtain a set of equivalent conditions for the steady state to be a quantum independent and identically distributed (i.i.d.) state, which is a subclass of separable states (no quantum entanglement) or tensor product states (no spatial correlations) [3]. The obtained conditions can be applied universally, including spin, fermionic, and bosonic systems, enabling us to judge whether a system has a quantum i.i.d. steady state or not, simply from the local terms involved in the Lindbladian. We also discuss an equivalent condition that the state retains the quantum i.i.d. form throughout the time evolution. Systems satisfying these conditions offer significant analytical tractability, enabling the computation of dynamical properties such as time-correlation functions and response functions.
[1] J. Hannukainen and J. Larson, Phys. Rev. A 98, 4 (2018).
[2] Q. Wang and S. F. Yelin, arXiv preprint arXiv:2308.13627 (2023).
[3] in preparation
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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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