Quantum anomalous Hall phase in a one-dimensional optical lattice

Area of Science:

• Condensed matter physics
• Quantum simulation
• Atomic physics

Background:

• The quantum anomalous Hall (QAH) phase is a topologically nontrivial phase of matter with potential applications in low-power electronics.
• Simulating complex quantum phenomena with ultracold atoms offers a controllable platform for exploring fundamental physics.

Purpose of the Study:

• To propose and theoretically investigate the simulation and detection of the quantum anomalous Hall phase using ultracold atoms.
• To explore the realization of topological phases and chiral edge states in synthetic dimensions.
• To investigate the impact of disorder on topological properties.

Main Methods:

• Utilizing ultracold atoms in a one-dimensional optical lattice.
• Engineering synthetic dimensions by modulating spin-orbit coupling.
• Analyzing the system's topological properties, including edge states and Fermi zero modes.
• Simulating a model with random spin-orbit coupling to study disorder effects.

Main Results:

• The proposed system exhibits a topologically nontrivial QAH phase with two chiral edge states.
• A flat energy band is observed at the phase transition point, hosting two Fermi zero modes.
• The system can be experimentally measured in ultracold atoms.
• A disordered model also shows a nontrivial topological phase, with the impact of disorder revealed.

Conclusions:

• Ultracold atoms in modulated optical lattices provide a viable platform for simulating and detecting the quantum anomalous Hall phase.
• The engineered synthetic dimensions allow for the observation of unique topological phenomena, including chiral edge states and Fermi zero modes.
• The study offers experimental pathways for verifying these topological phases and understanding the role of disorder.