Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
Zhi Lin, Xian-Jia Huang, Dan-Wei Zhang, Shi-Liang Zhu, and Z. D. Wang

TL;DR
This paper demonstrates how topological currents resulting from a dipolar parity anomaly can be emulated in two-dimensional optical lattices using ultracold atoms, providing a new platform for studying topological phenomena.
Contribution
It introduces a lattice model with ultracold atoms to emulate topological currents from a dipolar parity anomaly, enabling experimental detection via atomic drift measurements.
Findings
Topological currents can be generated by tuning on-site couplings.
The model allows direct detection of currents through atomic center-of-mass drift.
The scheme provides a controllable platform for studying topological anomalies.
Abstract
Dipolar parity anomaly can be induced by spatiotemporally weak-dependent energy-momentum separation of paired Dirac points in two-dimensional Dirac semimetals. Here we reveal topological currents arising from this kind of anomaly. A corresponding lattice model is proposed to emulate the topological currents by using two-component ultracold atoms in a two-dimensional optical Raman lattice. In our scheme, the topological currents can be generated by varying on-site coupling between the two atomic components in time and tuned via the laser fields. Moreover, we show that the topological particle currents can directly be detected from measuring the drift of the center of mass of the atomic gases.
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