Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice

• URL: http://arxiv.org/abs/2306.09270v1
• Date: Thu, 15 Jun 2023 16:43:42 GMT
• Title: Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice
• Authors: Usman Ali, Martin Holthaus, Torsten Meier
• Abstract summary: Acceleration for wavepacket propagation in periodic potentials disentangles the kspace dynamics and real-space dynamics. We analyze the dynamics of a model system in which the k-space dynamics and the real-space dynamics are in intertwined due to a position-dependent force.
• Score: 3.222802562733787
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The acceleration theorem for wavepacket propagation in periodic potentials disentangles the kspace dynamics and real-space dynamics. This is well known and understood for Bloch oscillations and super Bloch oscillations in the presence of position-independent forces. Here, we analyze the dynamics of a model system in which the k-space dynamics and the real-space dynamics are inextricably intertwined due to a position-dependent force which is provided by a parabolic trap. We demonstrate that this coupling gives rise to significantly modified and rich dynamics when the lattice is shaken by a modulated parabolic potential. The dynamics range from chirped Bloch-Harmonic oscillations to the asymmetric spreading oscillations. We analyze these findings by tracing the spatio-temporal dynamics in real space and by visualizing the relative phase in the k-space dynamics which leads to an accurate explanation of the obtained phenomena. We also compare our numerical results to a local acceleration model and obtain very good agreement for the case of coherent oscillations, however, deviations for oscillations with spreading dynamics which altogether supports the interpretations of our findings.

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