Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid

Area of Science:

• Condensed Matter Physics
• Quantum Gases
• Topological Materials

Background:

• The anomalous Hall effect is crucial for understanding electronic topological materials.
• Its study in bosonic systems, like superfluids, is less explored.
• Recent experiments realized a bosonic chiral superfluid in a 2D optical lattice.

Purpose of the Study:

• To predict and investigate the anomalous Hall effect in a bosonic chiral superfluid.
• To explore the role of orbital characteristics and interactions in this phenomenon.
• To identify experimental signatures for observing the predicted effect.

Main Methods:

• Utilized a multi-orbital Bose-Hubbard model to simulate the experimental system.
• Evaluated frequency-dependent Hall conductivity.
• Analyzed contributions from loop currents and Berry curvature.

Main Results:

• Predicted an intrinsic anomalous Hall effect in the bosonic chiral superfluid.
• Identified high-frequency Hall conductivity dependence on s-orbital loop currents.
• Linked DC Hall conductivity to noninteracting band Berry curvature and interaction effects.

Conclusions:

• The anomalous Hall effect can exist in bosonic topological materials.
• The study provides a theoretical framework and experimental guidance for observing this effect.
• This work opens new avenues for exploring topological phenomena in quantum gases.