Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array

Abstract

Motivated by recent experimental realizations of exotic phases of matter on programmable quantum simulators, we carry out a comprehensive theoretical study of quantum phase transitions in a Rydberg atom array on a square lattice, with both open and periodic boundary conditions. In the bulk, we identify several first-order and continuous phase transitions by performing large-scale quantum Monte Carlo simulations and develop an analytical understanding of the nature of these transitions using the framework of Landau-Ginzburg-Wilson theory. Remarkably, we find that under open boundary conditions, the boundary itself undergoes a second-order quantum phase transition, independent of the bulk. These results explain recent experimental observations and provide important new insights into both the adiabatic state preparation of novel quantum phases and quantum optimization using Rydberg atom array platforms.

arXiv comment6+10 pages

References in corpus (54)

• Quantum information with Rydberg atoms
• Probing many-body dynamics on a 51-atom quantum simulator
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Critical Phenomena and Renormalization-Group Theory
• Fast quantum gates for neutral atoms
• "Deconfined" quantum critical points
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Cosmological Experiments in Condensed Matter Systems
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
• High-fidelity control and entanglement of Rydberg atom qubits
• Quantum simulation and computing with Rydberg-interacting qubits
• The Theory of Boundary Critical Phenomena
• Universality of phase transitions of frustrated antiferromagnets
• Dynamical Crystallization in the Dipole Blockade of Ultracold Atoms
• The Loop Algorithm
• Competing density-wave orders in a one-dimensional hard-boson model
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Quantum phases of Rydberg atoms on a kagome lattice
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Putting competing orders in their place near the Mott transition
• The N-component Ginzburg-Landau Hamiltonian with cubic anisotropy: a six-loop study
• Anisotropic perturbations in three-dimensional O(N)-symmetric vector models
• Bootstrapping Heisenberg Magnets and their Cubic Instability
• Numerical study of the chiral ${\mathbb{Z}}_3$ quantum phase transition in one spatial dimension
• Complex density wave orders and quantum phase transitions in a model of square-lattice Rydberg atom arrays
• The critical behavior of frustrated spin models with noncollinear order
• Ground states of quantum antiferromagnets in two dimensions
• Quantum field theory for the chiral clock transition in one spatial dimension
• Emergence of U(1) symmetry in the 3D XY model with Zq anisotropy
• Vison states and confinement transitions of Z2 spin liquids on the kagome lattice
• Bond operator theory of doped antiferromagnets: from Mott insulators with bond-centered charge order, to superconductors with nodal fermions
• Floating phase versus chiral transition in a 1D hard-boson model
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• Six-loop $\epsilon$ expansion study of three-dimensional $n$-vector model with cubic anisotropy
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Chiral phase transitions: focus driven critical behavior in systems with planar and vector ordering
• Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Stability of 3D Cubic Fixed Point in Two-Coupling-Constant ϕ^4-Theory
• Efficient Monte Carlo algorithm in quasi-one-dimensional Ising spin systems
• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
• A quantum Monte Carlo algorithm realizing an intrinsic relaxation
• Three-loop renormalization group analysis of a complex model with stable fixed point: Critical exponents up to ${\epsilon }^3$ and ${\epsilon }^4$
• Critical behavior of certain antiferromagnets with complicated ordering: Four-loop $\ve$-expansion analysis
• On stability of the three-dimensional fixed point in a model with three coupling constants from the $\epsilon$ expansion: Three-loop results
• Critical thermodynamics of three-dimensional MN-component field model with cubic anisotropy from higher-loop εexpansion
• Generalized Crossover in multiparameter Hamiltonians

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