メーリングリストの皆様
クロスポストご容赦下さい。
京都大学基礎物理学研究所 物性基礎論：統計動力学研究室の八角繁男と申します。
下記セミナーを開催致しますので、ご案内させて頂きます。奮ってご参加下さい。
日時 (Date)：10月19日（水）16:00 -
場所 (Place)：京都大学 基礎物理学研究所 研究棟・講義室K102
講演者 (Speaker)：
Tomotaka Kuwahara (Tohoku University)
桑原知剛 (東北大学)
題目 (Title)：Fundamental inequalities in quantum many-body systems
要旨 (Abstract)：
In this talk, I discuss the non-degenerate gapped quantum states in general Hamiltonians. In understanding the ground states in many-body systems, we usually focus on the fact that the states occupy only a small corner of the total Hilbert space. The information on the restrictions serves for optimizing approximated numerical and/or analytical schemes, such as mean-field approximation and the density matrix renormalization-group method. Currently, rigorous constraints have been hardly known in many-body systems beyond one dimension. On the ground states' structure, I expose a new universal constraint "local reversibility" which complements the insufficiency of the existing ones, namely the exponential clustering and the area law of the entanglement entropy. It rigorously holds for all quantum many-body ground states, including higher dimensional systems or long-range interacting systems. From the results, we prove that the macroscopic superposition cannot exist in the gapped ground state in terms of the Fisher information.
京都大学基礎物理学研究所までの交通地図
http://www.yukawa.kyoto-u.ac.jp/contents/guide/map.html <http://www.yukawa.kyoto-u.ac.jp/contents/guide/map.html>
セミナーHP
http://www2.yukawa.kyoto-u.ac.jp/~noneq/seminar.html <http://www2.yukawa.kyoto-u.ac.jp/~noneq/seminar.html>
─────────────
八角 繁男
京都大学大学院理学研究科 M1
shigeo.hakkaku at yukawa.kyoto-u.ac.jp <http://yukawa.kyoto-u.ac.jp/>
─────────────