Kavli Affiliate: Anton R. Akhmerov
| First 5 Authors: Helene Spring, Viktor Könye, Fabian A. Gerritsma, Ion Cosma Fulga, Anton R. Akhmerov
| Summary:
Disorder can localize the eigenstates of one-dimensional non-Hermitian
systems, leading to an Anderson transition with a critical exponent of 1. We
show that, due to the lack of energy conservation, the dynamics of individual,
real-space wave packets follows a different behavior. Both transitions between
localization and unidirectional amplification, as well as transitions between
distinct propagating phases become possible. The critical exponent of the
transition equals $1/2$ in propagating-propagating transitions.
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