メーリングリストの皆様
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.html
＊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。
記
日時：２０１８年１１月２１日（水）１３時３０分〜
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.html
講師：伊藤康介さん（浙江大）
演題：Generalized quantum measurements defining work distribution compatible with fluctuation theorems
要旨：Fluctuation theorems known as the Jarzynski equality [1] and the Crooks relation [2] recently have attracted much attention. They relate the work done by far-from-equilibrium dynamics to the difference in the equilibrium free energy. These fluctuation relations were also extended to quantum systems [3]. However, it turns out that the definition of the work in quantum systems is highly non-trivial [4] because the energy measurements that are inevitable to evaluate the fluctuating work necessarily cause non-negligible backaction. The quantum fluctuation theorems [3] were derived on the basis of the two-point projective measurements before and after the driving of the system. The projective measurement though is an idealized operation which is usually difficult to realize in practice. Thus, it would be important to know whether there are generalized measurements in the definition of the work that are still compatible with the quantum fluctuation theorems. Although it
was concluded that the only possibility is the projective measurement in previous work [5], the considered measurements were not of the most general type, and also some arguments suffer from errors. As a result, that specification was incomplete as revealed by the present work. In this work, we rigorously obtain necessary and sufficient conditions on the generalized measurements for the universal validity of the quantum fluctuation theorems.
参考文献
[1] C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997).
[2] G. E. Crooks, Phys. Rev. E 60, 2721 (1999).
[3] J. Kurchan, arXiv:cond-mat/0007360 (2000), H. Tasaki, arXiv:cond-mat/0009244 (2000), S. Mukamel, Phys. Rev. Lett. 90, 170604 (2003), M. Campisi, P. Hanggi, and P. Talkner, Rev. Mod. Phys. 83, 771 (2011).
[4] E. Baumer et al., arXiv:1805.10096.
[5] B. P. Venkatesh, G. Watanabe, and P. Talkner, New J. Phys. 16, 015032 (2014).
———————————————–
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
———————————————–
————————————————-
Computational Material Physics Mailing List
home: www.issp.u-tokyo.ac.jp/public/cmp/
archive: cmp-ml.issp.u-tokyo.ac.jp
twitter: https://twitter.com/cmp_ml
————————————————-