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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Phase transitions of wave packet dynamics in disordered non-Hermitian systems
(Submitted on 18 Jan 2023 (v1), last revised 23 Feb 2024 (this version, v2))
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 equals $1/2$ in propagating-propagating transitions.
Submission history
From: Helene Spring [view email][v1] Wed, 18 Jan 2023 08:36:03 GMT (1943kb,D)
[v2] Fri, 23 Feb 2024 08:01:33 GMT (1650kb,D)
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