Semisynthetic zigzag optical lattice for ultracold bosons

Area of Science:

• Atomic, Molecular & Optical Physics
• Condensed Matter Physics
• Quantum Simulation

Background:

• Synthetic dimensions offer novel platforms for quantum simulation.
• Cold-atom systems provide controllable environments for studying quantum phenomena.

Purpose of the Study:

• To propose and investigate a cold-atom realization of a zigzag ladder using a synthetic dimension.
• To explore the ground-state properties of strongly interacting bosons in this novel lattice geometry.

Main Methods:

• Utilizing cold atoms with two internal spin states as a synthetic dimension.
• Employing a spin-dependent optical lattice to create a zigzag geometry.
• Investigating ground-state properties of bosons with strong interactions and frustration.

Main Results:

• Achieved a zigzag ladder configuration with tunneling accompanied by spatial displacements.
• Demonstrated nonlocal atom-atom interactions along the diagonal direction.
• Discovered a gapped phase at fractional filling factors arising from frustration and interactions.

Conclusions:

• The proposed cold-atom zigzag ladder is a promising platform for studying quantum many-body physics.
• The system exhibits unique phases driven by the interplay of frustration, interactions, and synthetic dimensions.
• This work opens new avenues for exploring exotic quantum states in engineered lattice structures.