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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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Showing 2018Show all

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math-ph2018

Spectral analysis of an abstract pair interaction model

Keisuke Asahara, Daiju Funakawa

We consider an abstract pair-interaction model in quantum field theory with a coupling constant and analyze the Hamiltonian of the model. In the massive c…

math-ph2018★ 26 cited

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

Toru Fuda, Daiju Funakawa, Akito Suzuki

For given two unitary and self-adjoint operators on a Hilbert space, a spectral mapping theorem was proved in \cite{HiSeSu}. In this paper, as an application of the spectral mappin…

math-ph2018★ 16 cited

Weak limit theorem for a one-dimensional split-step quantum walk

Toru Fuda, Daiju Funakawa, Akito Suzuki

This paper proves a weak limit theorem for a one-dimensional split-step quantum walk and investigates the limit density function. In the density function, the difference between tw…