Widely existing mixed phase structure of quantum dimer model on square lattice

Abstract

Since constraints hinder the application of numerical algorithms, phase diagrams of quantum dimer models are still controversial, even on the square lattice. The core controversy is whether the mixed state exists. In this article, we give strong evidences to solve this dispute. With our newly developed sweeping cluster method, we studied the phase diagram of large parameter space by introducing the definition of pair correlation function and other supporting evidence to distinguish the mixed phase from the columnar phase with high precision. In particular, we find that the ground state corresponds to the mixed phase for a vast parameter region.

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• Height-conserving quantum dimer models
• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Resonating Valence Bond States in an Electron-Phonon System
• Resummation-based updates for Stochastic Series Expansion Quantum Monte Carlo
• Quantum optimization within lattice gauge theory model on a quantum simulator
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• Symmetry-deformed toric codes and the quantum dimer model
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• Group Convolutional Neural Network for the Low-Energy Spectrum in the Quantum Dimer Model
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays