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Quantum metric and wavepackets at exceptional points in non-Hermitian systems
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The usual concepts of topological physics, such as the Berry curvature, cannot be applied directly to non-Hermitian systems. We show that another object, the quantum metric, which often plays a secondary role in Hermitian systems, becomes a crucial quantity near exceptional points in non-Hermitian systems, where it diverges in a way that fully controls the description of wavepacket trajectories. The quantum metric behaviour is responsible for a constant acceleration with a fixed direction, and for a non-vanishing constant velocity with a controllable direction. Both contributions are independent of the wavepacket size.
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Cited by 1 Pith paper
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Generalised state space geometry in Hermitian and non-Hermitian quantum systems
A biorthogonal alpha-deformed Fubini-Study geometry is constructed, giving dual connections and a four-way classification of metric and Berry-curvature tensors for non-Hermitian quantum systems.
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