Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions

Abstract

Quantum spin systems with strong geometric restrictions give rise to rich quantum phases such as valence bond solids and spin liquid states. However, the geometric restrictions often hamper the application of sophisticated numerical approaches. Based on the stochastic series expansion method, we develop an efficient and exact quantum Monte Carlo "sweeping cluster" algorithm which automatically satisfies the geometrical restrictions. Here we use the quantum dimer model as a benchmark to demonstrate the reliability and power of this algorithm. Comparing to existing numerical methods, we can obtain higher accuracy results for a wider parameter region and much more substantial system sizes.

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• Phase Diagram of Triangular Lattice Quantum Ising Model under External Field
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• Quantum optimization within lattice gauge theory model on a quantum simulator
• Recent progress on cluster and meron algorithms for strongly correlated systems
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
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• Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
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• Analysis of Pseudo-Random Number Generators in QMC-SSE Method
• Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point
• Exploring the limit of the Lattice-Bisognano-Wichmann form describing the Entanglement Hamiltonian: A quantum Monte Carlo study
• Group Convolutional Neural Network for the Low-Energy Spectrum in the Quantum Dimer Model
• Spontaneous continuous-symmetry breaking and tower of states in a comb chain
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays
• Emergent criticality in a constrained boson model