Quantum quench dynamics of geometrically frustrated Ising models

Ammar Ali, Hanjing Xu, William Bernoudy, Alberto Nocera, Andrew D. King () and Arnab Banerjee ()
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Ammar Ali: Purdue University
Hanjing Xu: Purdue University
William Bernoudy: D-Wave Quantum Inc.
Alberto Nocera: University of British Columbia
Andrew D. King: D-Wave Quantum Inc.
Arnab Banerjee: Purdue University

Nature Communications, 2024, vol. 15, issue 1, 1-9

Abstract: Abstract Geometric frustration in two-dimensional Ising models allows for a wealth of exotic universal behavior, both Ising and non-Ising, in the presence of quantum fluctuations. In particular, the triangular antiferromagnet and Villain model in a transverse field can be understood through distinct XY pseudospins, but have qualitatively similar phase diagrams including a quantum phase transition in the (2+1)-dimensional XY universality class. While the quantum dynamics of modestly-sized systems can be simulated classically using tensor-based methods, these methods become infeasible for larger lattices. Here we perform both classical and quantum simulations of these dynamics, where our quantum simulator is a superconducting quantum annealer. Our observations on the triangular lattice suggest that the dominant quench dynamics are not described by the quantum Kibble-Zurek scaling of the quantum phase transition, but rather a faster coarsening dynamics in an effective two-dimensional XY model in the ordered phase. Similarly, on the Villain model, the scaling exponent does not match the Kibble-Zurek expectation. These results demonstrate the ability of quantum annealers to perform coherent quantum dynamics simulations that are hard to classically scale beyond small systems, and open the avenue to predictive simulations of the dynamics of Ising magnetic materials on quantum simulators.

Date: 2024
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DOI: 10.1038/s41467-024-54701-4

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