Antiferromagnetic Bosonic t-J Models and Their Quantum Simulation in Tweezer Arrays

Area of Science:

• Quantum simulation
• Condensed matter physics
• Atomic and molecular physics

Background:

• Optical tweezer arrays enable exploration of quantum spin models through strong molecular and Rydberg atom interactions.
• Integrating mobile dopants with these systems is crucial for simulating strongly correlated quantum materials.

Purpose of the Study:

• Propose an experimental scheme for realizing bosonic t-J models using internal atomic/molecular states.
• Investigate the physics of charge motion and magnetic order competition, analogous to high-T_{c} cuprates.
• Analyze the ground states of the 2D bosonic antiferromagnetic (AFM) t-J model, particularly the role of bosonic statistics.

Main Methods:

• Encoding local Hilbert space in three internal atomic or molecular states.
• Engineering antiferromagnetic (AFM) couplings between spins.
• Large-scale density matrix renormalization group (DMRG) calculations on six-legged cylinders.

Main Results:

• Identified a strong tendency for bosonic holes to form stripes in the 2D bosonic AFM t-J model.
• Compared the behavior of bosonic holes to their fermionic counterparts.
• Demonstrated that bosonic t-J models can exhibit physics similar to collective phases in strongly correlated electrons.

Conclusions:

• The proposed scheme provides a pathway to simulate complex quantum phenomena in strongly correlated materials.
• Bosonic statistics significantly influence emergent phases, leading to stripe formation.
• This work opens new avenues for understanding quantum magnetism and emergent collective behaviors.