Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916550546554880 |
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| author | Ali, Usman Holthaus, Martin Meier, Torsten |
| author_facet | Ali, Usman Holthaus, Martin Meier, Torsten |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10727 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling Ali, Usman Holthaus, Martin Meier, Torsten Quantum Physics 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. |
| title | Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.10727 |