Daiju Funakawa

activity

20172026

most citedLocalization for a one-dimensional split-step quantum walk with bound states robust against perturbations

26 citations · 45 across the 11 of their papers we have counts for

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math-ph2024★ 1 cited

Two-dimensional quantum central limit theorem by quantum walks

Keisuke Asahara, Daiju Funakawa, Motoki Seki +1

The weak limit theorem (WLT), the quantum analogue of the central limit theorem, is foundational to quantum walk (QW) theory. Unlike the universal Gaussian limit of classical walks…

math-ph2024

Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O (3)$ $σ$ -model

Daiju Funakawa, Satoshi Okumura, Yuki Ueda

We investigate the existence of discrete positive or negative energy ground states of the Dirac operator $H$ which describe the fermion scattering on topological solitons in the no…

Two-dimensional quantum central limit theorem by quantum walks

Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear O(3) σ-model

Spectral analysis of Dirac operators for fermion scattering on topological solitons in the nonlinear $O (3)$ $σ$ -model