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Delocalization of non-Hermitian Quantum Walk on Random Media in One Dimension
Naomichi Hatano, Hideaki Obuse
Delocalization transition is numerically found in a non-Hermitian extension of a discrete-time quantum walk on a one-dimensional random medium. At the transition, an eigenvector ge…
What is the resonant state in open quantum systems?
Naomichi Hatano
The article reviews the theory of open quantum system from a perspective of the non-Hermiticity that emerges from the environment with an infinite number of degrees of freedom. The…
A chain of solvable non-Hermitian Hamiltonians constructed by a series of metric operators
Fabio Bagarello, Naomichi Hatano
We show how, given a non-Hermitian Hamiltonian , we can generate new non-Hermitian operators sequentially, producing a virtually infinite chain of non-Hermitian Hamiltonians whi…
Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
Savannah Garmon, Gonzalo Ordonez, Naomichi Hatano
For a system consisting of a quantum emitter coupled near threshold (band edge) to a one-dimensional continuum with a van Hove singularity in the density of states, we demonstrate…