Crystalline phases and devil's staircase in qubit spin ice

• URL: http://arxiv.org/abs/2305.08571v1
• Date: Mon, 15 May 2023 11:55:46 GMT
• Title: Crystalline phases and devil's staircase in qubit spin ice
• Authors: M\'ark Kond\'akor and Karlo Penc
• Abstract summary: We study the zero-temperature phase diagram on the square lattice. We identify three crystalline phases alongside a subextensive manifold of isolated configurations. By comparing structure factors, we find evidence for the emergence of the fully flippable and plaquette phases in the artificial quantum spin ice.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Motivated by the recent realization of an artificial quantum spin ice in an array of superconducting qubits with tunable parameters [King {\it et al.}, Science 373, 576 (2021)], we scrutinize a quantum six vertex model on the square lattice that distinguishes type-I and type-II vertices. We map the zero-temperature phase diagram using numerical (exact diagonalization) and analytical (perturbation expansion, Gerschgorin theorem) methods. Following a symmetry classification, we identify three crystalline phases alongside a subextensive manifold of isolated configurations. Monte Carlo simulations at the multicritical Rokhsar-Kivelson point provide evidence for a quantum phase exhibiting a cascade of transitions with increasing flux. By comparing structure factors, we find evidence for the emergence of the fully flippable and plaquette phases in the artificial quantum spin ice.

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