Non-Hermitian Bloch Oscillations

• URL: http://arxiv.org/abs/2606.26480v1
• Date: Thu, 25 Jun 2026 00:40:55 GMT
• Title: Non-Hermitian Bloch Oscillations
• Abstract summary: We investigate the wave-packet dynamics in one-dimensional non-Hermitian lattices driven by a dc force.<n>We show that nonreciprocal non-smooth Bloch oscillations, characterized by periodic jumps in group velocity, can emerge.
• Score: 0.7161783472741748
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We establish a general framework for non-Hermitian Bloch oscillations by investigating the wave-packet dynamics in one-dimensional non-Hermitian lattices driven by a dc force. The equations of motion for the momentum, center of mass, and group velocity of a wave packet are derived, where an anomalous group velocity due to the non-Hermiticity is identified. We show that nonreciprocal non-smooth Bloch oscillations, characterized by periodic jumps in group velocity, can emerge, and we analyze the role of finite-size effects. In non-Hermitian lattices with unidirectional hopping under open boundary conditions, we further uncover the emergence of periodic temporal Goos--Hänchen shifts together with an anomalous wave propagation along the direction of vanishing hopping.

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