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arXiv · 2410.10727

Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling

Usman Ali·Martin Holthaus·Torsten Meier
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Abstract

We investigate the dynamics of wave packets in a parabolic optical lattice formed by combining an optical lattice with a global parabolic trap. Our study examines the phase space representation of the system's eigenstates by comparing them to the classical phase space of a pendulum, to which the system effectively maps. The analysis reveals that quantum states can exhibit mixed dynamics by straddling the separatrix. A key finding is that the dynamics around the separatrix enables the controlled creation of highly non-classical states, distinguishing them from the classical oscillatory or rotational dynamics of the pendulum. By considering a finite momentum of the initial wave packet, we demonstrate various dynamical regimes. Furthermore, a slight energy mismatch between nearly-degenerate states localized at opposite turning points of the trap potential results in controlled long-range dynamical tunneling. These results can be interpreted as quantum beating between a clockwise rotating and a counterclockwise rotating pendulum.

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Usman Ali, Martin Holthaus, Torsten Meier. 2025-01-04. Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling. https://arxiv.org/abs/2410.10727

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