ISSP - The institute for Solid State Physics

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Insensitivity of bulk properties to the twisted boundary condition
日程 : 2018年3月16日(金) 13:15 - 14:45 場所 : Seminar Room A at Kavli IPMU 講師 : Haruki Watanabe 所属 : Dept. Applied Physics, University of Tokyo 世話人 : 押川正毅 (63275)

The symmetry and the locality are the two major ingredients leading to various nontrivial statements in quantum many-body systems. In this talk I will show that, in gapped phases of a U(1) symmetric Hamiltonian with finite-range interactions, the bulk properties such as the expectation value of local operators, the ground state energy and the excitation gap, and the static and low-frequency dynamical responses in general, do not depend on the twisted angle of the boundary condition in the limit of the large system size. The argument is based on the exponential decay of several types of equal-time correlation functions.

Remark: joint with IPMU Mathematics-String Theory seminar

(公開日: 2018年03月09日)