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Effects of disorder on non-unitary $\mathcal{PT}$ symmetric quantum walks by Mochizuki, Ken; Obuse, Hideaki is a scholarly article available to read on EtoBox.

What is Effects of disorder on non-unitary $\mathcal{PT}$ symmetric quantum walks about?

$\mathcal{PT}$ 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 concept of $\mathcal{PT}$ symmetry can be generalized and an arbitrary anti-unitary symmetry has a possibility to substitute $\mathcal{PT}$ symmetry. The aim of the present work is to seek such non-unitary quantum walks with generalized $\mathcal{PT}$ symmetry by focusing on effects of spatially random disorder which breaks $\mathcal{PT}$ symmetry. We numerically find non-unitary quantum walks whose quasi-energy is entirely real despite $\mathcal{PT}$ symmetry is broken.

Author

Mochizuki, Ken; Obuse, Hideaki

Published

2016

Language

EN