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arXiv · 1907.01212

Quantum Quench and $f$-Sum Rules on Linear and Non-linear Conductivities

Masaki Oshikawa·Haruki Watanabe
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Abstract

Considering a quench process in which an electric field pulse is applied to the system, "$f$-sum rule" for the conductivity for general quantum many-particle systems is derived. It is furthermore extended to an infinite series of sum rules, applicable to the nonlinear conductivity at every order.

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Masaki Oshikawa, Haruki Watanabe. 2019-08-24. Quantum Quench and $f$-Sum Rules on Linear and Non-linear Conductivities. https://doi.org/10.1103/physrevb.102.165137

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