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Updated: May 7, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Quantum quench dynamics of geometrically frustrated Ising models
Ammar Ali1, Hanjing Xu2, William Bernoudy3
1Department of Physics and Astronomy, Purdue University, West Lafayette, IN, USA.
Quantum simulations on superconducting annealers reveal faster coarsening dynamics in frustrated Ising models, deviating from expected quantum phase transition scaling. This demonstrates quantum annealers
Area of Science:
- Condensed Matter Physics
- Quantum Simulation
- Statistical Mechanics
Background:
- Geometric frustration in 2D Ising models leads to exotic universal behavior with quantum fluctuations.
- Triangular antiferromagnets and Villain models exhibit similar phase diagrams with (2+1)D XY universality class quantum phase transitions.
- Classical tensor-based simulations become infeasible for large lattice sizes.
Purpose of the Study:
- To perform classical and quantum simulations of dynamics in frustrated 2D Ising models.
- To investigate the capabilities of superconducting quantum annealers for simulating quantum dynamics.
- To compare simulation results with theoretical expectations, including Kibble-Zurek scaling.
Main Methods:
- Classical simulations using tensor-based methods for smaller systems.
- Quantum simulations utilizing a superconducting quantum annealer.
- Analysis of quench dynamics and scaling exponents.
Main Results:
- Observed quench dynamics on the triangular lattice are dominated by faster coarsening, not Kibble-Zurek scaling.
- Scaling exponents for the Villain model also deviate from Kibble-Zurek expectations.
- Quantum annealer simulations show coherent quantum dynamics beyond classical scalability limits.
Conclusions:
- Superconducting quantum annealers can simulate complex quantum dynamics intractable for classical methods.
- The study highlights discrepancies between observed dynamics and standard quantum phase transition theories.
- Opens possibilities for predictive simulations of Ising magnetic materials using quantum simulators.
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