Observing geometric frustration with thousands of coupled lasers

Area of Science:

• Physics
• Quantum Optics
• Condensed Matter Physics

Background:

• Geometric frustration is a critical phenomenon in diverse physical systems, hindering the attainment of a unique ground state.
• Understanding frustration is essential for designing novel materials and controlling emergent behaviors in complex systems.

Purpose of the Study:

• To experimentally demonstrate and investigate large-scale geometric frustration in a novel system.
• To explore the role of dissipation and coupling in frustrated systems.

Main Methods:

• Utilizing an experimental setup with 1500 negatively coupled lasers arranged in a kagome lattice.
• Observing the phase-locking behavior induced by dissipation.

Main Results:

• The laser system's phase-locked state directly maps to the classical XY spin Hamiltonian ground state.
• Geometric frustration was manifested by the absence of long-range phase ordering in the laser system.
• Introducing next-nearest-neighbor coupling was shown to eliminate frustration and restore order.

Conclusions:

• The experimental system provides a scalable platform for studying geometric frustration.
• Dissipation plays a crucial role in driving frustrated systems towards ordered or disordered states.
• Tailoring inter-element coupling offers a method to control frustration and achieve order in complex systems.