English

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

Strongly Correlated Electrons 2020-10-28 v3

Abstract

Considering a quench process in which an electric field pulse is applied to the system, "ff-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.

Keywords

Cite

@article{arxiv.1907.01212,
  title  = {Quantum Quench and $f$-Sum Rules on Linear and Non-linear Conductivities},
  author = {Masaki Oshikawa and Haruki Watanabe},
  journal= {arXiv preprint arXiv:1907.01212},
  year   = {2020}
}

Comments

5 pages, 1 figure; v3: numerical factors corrected

R2 v1 2026-06-23T10:09:38.532Z