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20162023
most citedExplicit definition of symmetry for non-unitary quantum walks with gain and loss

83 citations · 226 across the 13 of their papers we have counts for

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7 papers · 1 filter

quant-ph2023★ 2 cited

Absorption to Fluctuating Bunching States in Non-Unitary Boson Dynamics

Ken Mochizuki, Ryusuke Hamazaki

We show that noisy nonunitary dynamics of bosons drives arbitrary initial states into a novel fluctuating bunching state, where all bosons occupy one time-dependent mode. We propos…

quant-ph2022★ 4 cited

Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics

Ken Mochizuki, Ryusuke Hamazaki

We discover novel transitions characterized by distinguishability of bosons in non-unitary dynamics with parity-time () symmetry. We show that symmetry…

quant-ph2022★ 3 cited

Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models

Ken Mochizuki, Tomoki Ozawa

We explore band structures of one-dimensional open systems described by periodic non-Hermitian operators, based on continuum models and tight-binding models. We show that imaginary…

quant-ph2019★ 11 cited

Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet systems

Ken Mochizuki, Norio Kawakami, Hideaki Obuse

Recently, effects of nonlinearity on topologically nontrivial systems have attracted attention and the stability of topologically protected edge states has been studied for a quant…

quant-ph2019★ 14 cited

Bulk-edge correspondence and stability of multiple edge states of a symmetric non-Hermitian system by using non-unitary quantum walks

Makio Kawasaki, Ken Mochizuki, Norio Kawakami +1

Topological phases and the associated multiple edge states are studied for parity and time-reversal symmetric non-Hermitian open quantum systems by constructing a…

quant-ph2016★ 5 cited

Effects of disorder on non-unitary symmetric quantum walks

Ken Mochizuki, Hideaki Obuse

symmetry, namely, a combined parity and time-reversal symmetry can make non-unitary quantum walks exhibit entirely real eigenenergy. However, it is known that the co…

quant-ph2016★ 83 cited

Explicit definition of symmetry for non-unitary quantum walks with gain and loss

Ken Mochizuki, Dakyeong Kim, Hideaki Obuse

symmetry, that is, a combined parity and time-reversal symmetry is a key milestone for non-Hermite systems exhibiting entirely real eigenenergy. In the present work,…