Phase transitions of wave packet dynamics in disordered non-Hermitian systems
Helene Spring (TU Delft - QN/Akhmerov Group, Kavli institute of nanoscience Delft)
Viktor Könye (IFW Dresden)
Fabian A. Gerritsma (Kavli institute of nanoscience Delft, TU Delft - QN/vanderSarlab)
Ion Cosma Fulga (IFW Dresden)
Anton R. Akhmerov (TU Delft - QN/Akhmerov Group, Kavli institute of nanoscience Delft)
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Abstract
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 is close to 1/2 in propagating-propagating and (de)localization transitions.
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