Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
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2023
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| _version_ | 1866913249308442624 |
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| author | Neder, Izhar Sirote, Chaviva Geva, Meital Lahini, Yoav Ilan, Roni Shokef, Yair |
| author_facet | Neder, Izhar Sirote, Chaviva Geva, Meital Lahini, Yoav Ilan, Roni Shokef, Yair |
| contents | We experimentally and theoretically study the dynamics of a one-dimensional array of pendula with a mild spatial gradient in their self-frequency and where neighboring pendula are connected with weak and alternating coupling. We map their dynamics to the topological Su-Schrieffer-Heeger (SSH) model of charged quantum particles on a lattice with alternating hopping rates in an external electric field. By directly tracking the dynamics of a wavepacket in the bulk of the lattice, we observe Bloch oscillations, Landau-Zener transitions, and coupling between the isospin (i.e. the inner wave function distribution within the unit cell) and the spatial degrees of freedom (the distribution between unit cells). We then use Bloch oscillations in the bulk to directly measure the non-trivial global topological phase winding and local geometric phase of the band. We measure an overall evolution of 3.1 $\pm$ 0.2 radians for the geometrical phase during the Bloch period, consistent with the expected Zak phase of $π$. Our results demonstrate the power of classical analogs of quantum models to directly observe the topological properties of the band structure, and sheds light on the similarities and the differences between quantum and classical topological effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_19387 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array Neder, Izhar Sirote, Chaviva Geva, Meital Lahini, Yoav Ilan, Roni Shokef, Yair Mesoscale and Nanoscale Physics Soft Condensed Matter Classical Physics Quantum Physics We experimentally and theoretically study the dynamics of a one-dimensional array of pendula with a mild spatial gradient in their self-frequency and where neighboring pendula are connected with weak and alternating coupling. We map their dynamics to the topological Su-Schrieffer-Heeger (SSH) model of charged quantum particles on a lattice with alternating hopping rates in an external electric field. By directly tracking the dynamics of a wavepacket in the bulk of the lattice, we observe Bloch oscillations, Landau-Zener transitions, and coupling between the isospin (i.e. the inner wave function distribution within the unit cell) and the spatial degrees of freedom (the distribution between unit cells). We then use Bloch oscillations in the bulk to directly measure the non-trivial global topological phase winding and local geometric phase of the band. We measure an overall evolution of 3.1 $\pm$ 0.2 radians for the geometrical phase during the Bloch period, consistent with the expected Zak phase of $π$. Our results demonstrate the power of classical analogs of quantum models to directly observe the topological properties of the band structure, and sheds light on the similarities and the differences between quantum and classical topological effects. |
| title | Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array |
| topic | Mesoscale and Nanoscale Physics Soft Condensed Matter Classical Physics Quantum Physics |
| url | https://arxiv.org/abs/2305.19387 |