Abstract
Topological Thouless pumping and Aharonov–Bohm effect are both fundamental effects enabled by the topological properties of the system. Here, we study both effects together: topological pumping of interacting particles through Aharonov–Bohm rings. This system can prepare highly entangled many-particle states, transport them via topological pumping and interfere with them, revealing a fractional flux quantum. The type of the generated state is revealed by non-trivial Aharonov–Bohm interference patterns that could be used for quantum sensing. The reflections induced by the interference result from transitions between topological bands. Specific bands allow transport with a band gap scaling as the square-root of the particle number. Our system paves a new way for a combined system of state preparation and topological protected transport.
Highlights
Topological Thouless pumping and Aharonov–Bohm effect are both fundamental effects enabled by the topological properties of the system
Topological matter defines an important field in fundamental physics with far reaching implications for quantum technology: the correlations encoded in the topological matter are a precious resource for quantum technology; at the same time, quantum technology can be exploited to study topological matter with unprecedented precision and control 1–4
Among the several important contributions given by David Thouless in this field, the idea of topological pumping is relevant for quantum technology: charge is transported through a one dimensional system using the topological band structure of an extended system[5,6]
Summary
Topological Thouless pumping and Aharonov–Bohm effect are both fundamental effects enabled by the topological properties of the system. We initialize the particles at the first source lead site that directly neighbors the ring and tune φ0 to select the band (see Fig. 1a). We can understand the mechanism how reflections in topological pumped AB rings arise: Reflections caused by destructive AB interference arise by transferring particles to bands with a Chern number of opposite sign.
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