Quantized Nonlinear Transport with Ultracold Atoms

Fan Yang and Hui Zhai

Institute for Advanced Study, Tsinghua University, Beijing 100084, China

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In this letter, we propose how to measure the quantized nonlinear transport using two-dimensional ultracold atomic Fermi gases in a harmonic trap. This scheme requires successively applying two optical pulses in the left and lower half-planes and then measuring the number of extra atoms in the first quadrant. In ideal situations, this nonlinear density response to two successive pulses is quantized, and the quantization value probes the Euler characteristic of the local Fermi sea at the trap center. We investigate the practical effects in experiments, including finite pulse duration, finite edge width of pulses, and finite temperature, which can lead to deviation from quantization. We propose a method to reduce the deviation by averaging measurements performed at the first and third quadrants, inspired by symmetry considerations. With this method, the quantized nonlinear response can be observed reasonably well with experimental conditions readily achieved with ultracold atoms.

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Cited by

[1] Pengfei Zhang, "Quantized topological response in trapped quantum gases", Physical Review A 107 3, L031305 (2023).

[2] Pok Man Tam and Charles L. Kane, "Topological density correlations in a Fermi gas", Physical Review B 109 3, 035413 (2024).

[3] Fan Yang, Xingyu Li, and Hui Zhai, "Nonadiabatic effect in topological and interacting charge pumping", Physical Review B 109 6, 064301 (2024).

[4] Pok Man Tam and Charles L. Kane, "Probing Fermi Sea Topology by Andreev State Transport", Physical Review Letters 130 9, 096301 (2023).

[5] Fan Yang, Xingyu Li, and Chengshu Li, "Euler-Chern correspondence via topological superconductivity", Physical Review Research 5 3, 033073 (2023).

[6] Pok Man Tam, Christophe De Beule, and Charles L. Kane, "Topological Andreev rectification", Physical Review B 107 24, 245422 (2023).

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