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19952023
most citedLocalization transitions in non-Hermitian quantum mechanics

1.5k citations · 6k across the 93 of their papers we have counts for

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6 papers · 1 filter

quant-ph2020★ 14 cited

Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system

Ken Shobe, Keiichi Kuramoto, Ken-Ichiro Imura +1

In non-Hermitian scattering problems the behavior of the transmission probability is very different from its Hermitian counterpart; it can exceed unity or even be divergent, since…

cond-mat.dis-nn2020★ 17 cited

Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms

Ken Mochizuki, Naomichi Hatano, Joshua Feinberg +1

We explore the eigenvalue statistics of a non-Hermitian version of the Su-Schrieffer-Heeger model, with imaginary on-site potentials and randomly distributed hopping terms. We find…

physics.soc-ph2020★ 6 cited

Null-eigenvalue localization of quantum walks on real-world complex networks

Ruben Bueno, Naomichi Hatano

First we report that the adjacency matrices of real-world complex networks systematically have null eigenspaces with much higher dimensions than that of random networks. These null…

quant-ph2020★ 2 cited

Real Edge Modes in a Floquet-modulated -symmetric SSH model

Andrew K. Harter, Naomichi Hatano

Non-Hermitian Hamiltonians provide a simple picture for analyzing systems with natural or induced gain and loss; however, in general, such Hamiltonians feature complex energies and…

quant-ph2020★ 33 cited

Non-Markovian effect on quantum Otto engine: -Role of system--reservoir interaction-

Yuji Shirai, Kazunari Hashimoto, Ryuta Tezuka +2

We study a limit cycle of a quantum Otto engine whose each cycle consists of two finite-time quantum isochoric (heating or cooling) processes and two quantum adiabatic work-extract…

quant-ph2020★ 35 cited

Discrete-time quantum walk on complex networks for community detection

Kanae Mukai, Naomichi Hatano

We define the discrete-time quantum walk on complex networks and utilize it for community detection. We numerically show that the quantum walk with the Fourier coin is localized in…