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

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.

References in corpus (7)

• Anderson Transitions
• Higher-order non-Hermitian skin effect
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit
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• Robust quantum boomerang effect in non-Hermitian systems
• The Effect of Parameter Variations on the Performance of the Josephson Travelling Wave Parametric Amplifiers

Cited by in corpus (4)

• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Higher-order gap ratios of singular values in open quantum systems
• Lack of near-sightedness principle in non-Hermitian systems