Programmable high-dimensional Hamiltonian in a photonic waveguide array

Area of Science:

• Photonics and Quantum Simulation
• Condensed Matter Physics
• Integrated Optics

Background:

• Waveguide lattices are crucial for quantum walks and simulating condensed matter systems.
• Existing waveguide devices are static, limiting their application versatility.
• Simulating complex quantum dynamics often requires numerous specialized, static devices.

Purpose of the Study:

• To develop a single, reconfigurable waveguide array for diverse Hamiltonian simulations.
• To demonstrate electro-optic tuning of Hamiltonian terms for dynamic control.
• To enable the study of multiple condensed matter quantum dynamics on one platform.

Main Methods:

• Utilized an 11-waveguide array in lithium niobate with 22 individually controlled electrodes.
• Employed electro-optic tuning to implement continuous-time Hamiltonian evolutions.
• Performed experiments realizing the Su-Schriffer-Heeger model, Aubrey-Andre model, and Anderson localization.

Main Results:

• Successfully demonstrated a programmable waveguide array capable of simulating various physical models.
• Achieved dynamic control over Hamiltonian terms, equivalent to over 2500 static devices.
• Showcased micron-scale electric fields for precise tuning, overcoming cross-talk limitations.

Conclusions:

• The developed programmable waveguide array offers unprecedented versatility for quantum simulation.
• Electro-optic control provides ultra-fast, precise reconfigurability with low power consumption.
• This platform significantly advances the study of condensed matter quantum dynamics using a single device.