Triangular lattice quantum dimer model with variable dimer density

Abstract

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte Carlo simulation results on an extension of the triangular lattice quantum dimer model with terms in the Hamiltonian annihilating and creating single dimers. We find distinct odd and even ${\mathbb{Z}}_2$ spin liquids, along with several phases with no topological order: a staggered crystal, a nematic phase, and a trivial symmetric phase with no obvious broken symmetry. We also present dynamic spectra of the phases, and note implications for experiments on Rydberg atoms.

References in corpus (42)

• Fault-tolerant quantum computation by anyons
• Probing many-body dynamics on a 51-atom quantum simulator
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• An RVB phase in the triangular lattice quantum dimer model
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Computational Studies of Quantum Spin Systems
• Ising models of quantum frustration
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Competing density-wave orders in a one-dimensional hard-boson model
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Quantum phases of Rydberg atoms on a kagome lattice
• Constrained sampling method for analytic continuation
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Kosterlitz-Thouless Melting of Magnetic Order in the Triangular Quantum Ising Material TmMgGaO${}_4$
• Using the average spectrum method to extract dynamics from quantum Monte Carlo simulations
• Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
• Identifying the maximum entropy method as a special limit of stochastic analytic continuation
• Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
• Constraints on topological order in Mott Insulators
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models
• Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions
• Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Spectroscopic signatures of crystal momentum fractionalization
• Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice
• Vison gap in the Rokhsar-Kivelson dimer model on the triangular lattice
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
• Global scheme of sweeping cluster algorithm to sample among topological sectors
• Amplitude Mode in Quantum Magnets via Dimensional Crossover
• Absolute anomalies in (2+1)D symmetry-enriched topological states and exact (3+1)D constructions
• Widely existing mixed phase structure of quantum dimer model on square lattice
• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Crystallization of the resonating valence bond liquid as vortex condensation
• Fractionalized conductivity and emergent self-duality near topological phase transitions
• Classification of symmetry fractionalization in gapped ${\mathbb{Z}}_2$ spin liquids
• Vestigial anyon condensation in kagome quantum spin liquids
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Height-conserving quantum dimer models
• Ising nematic fluid phase of hard-core dimers on the square lattice

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• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
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• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
• Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Dynamical properties of quantum many-body systems with long range interactions
• Height-conserving quantum dimer models
• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
• Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Evolution of Dynamical Signature in the X-cube Fracton Topological Order
• Quantum order-by-disorder induced phase transition in Rydberg ladders with staggered detuning
• Quantum dimer models with Rydberg gadgets
• Reweight-annealing method for evaluating the partition function via quantum Monte Carlo calculations
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Recurrent neural network wave functions for Rydberg atom arrays on kagome lattice
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Exact Solution to the Quantum and Classical Dimer Models on the Spectre Aperiodic Monotiling
• Exploring the topological sector optimization on quantum computers
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Classical fully-packed loop model with attractive interactions on the square lattice
• Models of interacting bosons with exact ground states: a unified approach
• Geometric phase and multipartite entanglement of Rydberg atom chains
• Topological order in symmetric blockade structures
• Breakdown of the thermodynamic limit in quantum spin and dimer models
• Accessing Excitation of Many-body Systems via Single-Mode Approximation within Quantum Monte Carlo Simulations
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• ${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder
• Magnetic Interactions in the Polar Ferrimagnet with a Bipartite Structure
• Phase transitions and remnants of fractionalization at finite temperature in the triangular lattice quantum loop model
• Detecting prethermal Floquet phases of Rydberg atom arrays
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models