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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