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math-ph2020
Quantum Walk and Dressed Photon
Misa Hamano, Hayato Saigo
A physical model called dressed photons, a composite system of photons and excitation of electrons in the nano-particles, is effectively used in the realm of near-field optics. Man…
math-ph2018
Space-homogeneous quantum walks on Z from the viewpoint of complex analysis
Hayato Saigo, Hiroki Sako
The subject of this paper is quantum walks, which are expected to simulate several kinds of quantum dynamical systems. In this paper, we define analyticity for quantum walks on Z.…