Papers › Phase transitions of wave packet dynamics in disordered non-Hermitian systems

Phase transitions of wave packet dynamics in disordered non-Hermitian systems

18 Jan 2023arXiv:2301.07370links table onlyarchive 2025-07-28

Helene Spring, Viktor Könye, Fabian A. Gerritsma, Ion Cosma Fulga, Anton R. Akhmerov

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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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