Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice

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.

arXiv admin note: substantial text overlap with arXiv:2204.12134

References in corpus (9)

• Tools for quantum simulation with ultracold atoms in optical lattices
• Strongly Correlated Quantum Walks in Optical Lattices
• Generalized acceleration theorem for spatiotemporal Bloch waves
• Atom Optics Quantum Pendulum
• Emergence of superfluid transport in a dynamical system of ultracold atoms
• Super Bloch oscillations with modulated interaction
• Steering between Bloch oscillation and dipole oscillation in parabolic optical waveguide arrays
• Transport controlled by Poincaré orbit topology in a driven inhomogeneous lattice gas
• Photonic Bloch-dipole-Zener Oscillations in Binary Parabolic Optical Waveguide Arrays