Quantum Quench Dynamics of Geometrically Frustrated Ising Models
- URL: http://arxiv.org/abs/2403.00091v1
- Date: Thu, 29 Feb 2024 19:39:14 GMT
- Title: Quantum Quench Dynamics of Geometrically Frustrated Ising Models
- Authors: Ammar Ali, Hanjing Xu, William Bernoudy, Alberto Nocera, Andrew D.
King, Arnab Banerjee
- Abstract summary: We study the triangular antiferromagnet and Villain model in a transverse field.
Our results demonstrate the ability of quantum annealers to simulate coherent quantum dynamics.
- Score: 0.20971479389679332
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 simulate coherent quantum dynamics and scale beyond the
reach of classical approaches.
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