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Demonstration of Self-Balance Mechanism with Bloch Oscillations in Momentum Bandgap Engineering
Danni Chen1, Changying Li1, Jinze He1
1ShanghaiTech University, State Key Laboratory of Quantum Functional Materials, School of Physical Science and Technology and Center for Transformative Science, Shanghai 200031, China.
None:
We investigate Bloch oscillations in a lattice system featuring a momentum gap (k gap), where in-gap modes exhibit exponential growth or decay. We demonstrate that the interplay of k-gap amplification, attenuation, and interband interference gives rise to a critical regime, where the wave packet alternates between the growing and decaying channels, forming a period-doubled oscillation with globally stable intensity under critical driving-a phenomenon we term self-balanced Bloch oscillations. This self-balance arises from phase-accumulation-dependent selection of the k-gap channels during band traversal, as confirmed by numerical simulations and spectral analysis. This mechanism, broadly applicable to k-gap-engineered systems, not only enables intrinsic stabilization beyond mere amplification but also offers a powerful route for controlling wave propagation in time-varying media and non-Hermitian physics.
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