Magnetism in the two-dimensional dipolar XY model
arXiv:2305.03673 · doi:10.1103/PhysRevB.109.144411
Abstract
Motivated by a recent experiment on a square-lattice Rydberg atom array realizing a long-range dipolar XY model [Chen et al., Nature (2023)], we numerically study the model's equilibrium properties. We obtain the phase diagram, critical properties, entropies, variance of the magnetization, and site-resolved correlation functions. We consider both ferromagnetic and antiferromagnetic interactions and apply quantum Monte Carlo and pseudo-Majorana functional renormalization group techniques, generalizing the latter to a U(1) symmetric setting. Our simulations perform extensive thermometry for the first time in dipolar Rydberg atom arrays and establish conditions for adiabaticity and thermodynamic equilibrium. On the ferromagnetic side of the experiment, we determine the entropy per particle S/N~0.5, close to the one at the critical temperature, S_c/N = 0.585(15). The simulations suggest the presence of an out-of-equilibrium plateau at large distances in the correlation function, thus motivating future studies on the non-equilibrium dynamics of the system.
17 pages
References in corpus (50)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Magnetic Monopoles in Spin Ice
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Cold atoms in cavity-generated dynamical optical potentials
- Observation of entanglement propagation in a quantum many-body system
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Non-local propagation of correlations in long-range interacting quantum systems
- Functional renormalization group approach to correlated fermion systems
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
- Quantum computing with neutral atoms
- Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
- Quantum simulation and computing with Rydberg-interacting qubits
- Quantum Phases of Cold Polar Molecules in 2D Optical Lattices
- Long-range interacting quantum systems
- Dynamical crystallization in a low-dimensional Rydberg gas
- A Fermi Degenerate Gas of Polar Molecules
- Hidden order in 1D Bose insulators
- Observation of Wigner crystal of electrons in a monolayer semiconductor
- New frontiers with quantum gases of polar molecules
- Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
- Evaporation of microwave-shielded polar molecules to quantum degeneracy
- Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
- Supersolid phase with cold polar molecules on a triangular lattice
- Absence of spontaneous magnetic order at non-zero temperature in one- and two-dimensional Heisenberg and XY systems with long-range interactions
- J_1-J_2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group
- Demonstration of a strong Rydberg blockade in three-atom systems with anisotropic interactions
- Anomalous Behavior of Spin Systems with Dipolar Interactions
- The boundary between long-range and short-range critical behavior
- Updated Core Libraries of the ALPS Project
- Probing site-resolved correlations in a spin system of ultracold molecules
- Order-N Cluster Monte Carlo Method for Spin Systems with Long-range Interactions
- Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
- Frustrated Quantum Spins at finite Temperature: Pseudo-Majorana functional RG approach
- Critical entropies for magnetic ordering in bosonic mixtures on a lattice
- Continuous Symmetry Breaking in a Trapped-Ion Spin Chain
- Pseudo-fermion functional renormalization group for spin models
- Spontaneous emissions and thermalization of cold bosons in optical lattices
- Quantum effects on unconventional pinch point singularities
- Generalized Higgs mechanism in long-range interacting quantum systems
- Equilibrium Phases of Tilted Dipolar Lattice Bosons
- Scalable spin squeezing from spontaneous breaking of a continuous symmetry
- Dynamical properties of quantum many-body systems with long range interactions
- Supersolid phases of lattice dipoles tilted in three-dimensions
- Entangling dynamics from effective rotor/spin-wave separation in U(1)-symmetric quantum spin models
- Taming pseudo-fermion functional renormalization for quantum spins: Finite-temperatures and the Popov-Fedotov trick
- A quantum Monte Carlo study of the long-ranged site-diluted XXZ-model as realized by polar molecules
Cited by in corpus (13)
- Pseudo-fermion functional renormalization group for spin models
- Spectroscopy of elementary excitations from quench dynamics in a dipolar XY Rydberg simulator
- Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
- Temperature flow in pseudo-Majorana functional renormalization for quantum spins
- Supersolidity in Rydberg tweezer arrays
- Dipolar ordering transitions in many-body quantum optics: Analytical diagrammatic approach to equilibrium quantum spins
- Pseudo-Majorana functional renormalization for frustrated XXZ spin-1/2 models with field or magnetization along the spin-Z direction at finite temperature
- All product eigenstates in Heisenberg models from a graphical construction
- Scale-invariant phase transition of disordered bosons in one dimension
- Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
- Helicity modulus in the bilayer XY model by worm algorithm
- Field-induced magnon decays in dipolar quantum magnets
- Higgs and Nambu-Goldstone modes in a spin-1 model with long-range interactions