36 citations · 129 across the 11 of their papers we have counts for
19 papers · 1 filter
Vanishing and non-vanishing persistent currents of various conserved quantities
Hirokazu Kobayashi, Haruki Watanabe
For every conserved quantity written as a sum of local terms, there exists a corresponding current operator that satisfies the continuity equation. The expectation values of curren…
Bloch oscillations in the spin-1/2 XXZ chain
Yankang Liu, Yohei Fuji, Haruki Watanabe
Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations, so-called Bloch oscillations, with an amp…
Fractional corner magnetization of collinear antiferromagnets
Haruki Watanabe, Yasuyuki Kato, Hoi Chun Po +1
Recent studies revealed that the electric multipole moments of insulators result in fractional electric charges localized to the hinges and corners of the sample. We here explore t…
Corner charge and bulk multipole moment in periodic systems
Haruki Watanabe, Seishiro Ono
A formula for the corner charge in terms of the bulk quadrupole moment is derived for two-dimensional periodic systems. This is an analog of the formula for the surface charge dens…
Generalized -Sum Rules and Kohn formulas on Non-linear Conductivities
Haruki Watanabe, Masaki Oshikawa
The -sum rule and the Kohn formula are well-established general constraints on the electric conductivity in quantum many-body systems. We present their generalization to non-lin…
Quantum Quench and -Sum Rules on Linear and Non-linear Conductivities
Masaki Oshikawa, Haruki Watanabe
Considering a quench process in which an electric field pulse is applied to the system, "-sum rule" for the conductivity for general quantum many-particle systems is derived. It…