Entanglement in the quantum phases of an unfrustrated Rydberg atom array

Abstract

We report on the ground state phase diagram of interacting Rydberg atoms in the unfrustrated square lattice array. Using new tensor network algorithms, we scale to large systems in two dimensions while including all long-range interactions, revealing the phases in the bulk and their analogs in accessible finite arrays. We find a greatly altered phase diagram from earlier numerical and experimental studies, and in particular, we uncover an emergent entangled quantum nematic phase that appears in the absence of frustration. Broadly our results yield a conceptual guide for future experiments, while our techniques provide a blueprint for converging numerical studies in other lattices.

arXiv commentmain text: 7 pages, 5 figures; supplementary info: 10 pages, 11 figures

References in corpus (32)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Probing many-body dynamics on a 51-atom quantum simulator
• Efficient classical simulation of slightly entangled quantum computations
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• The ITensor Software Library for Tensor Network Calculations
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Criticality, the area law, and the computational power of PEPS
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Synthetic three-dimensional atomic structures assembled atom by atom
• 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
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Corner Transfer Matrix Renormalization Group Method
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Dynamical crystallization in a low-dimensional Rydberg gas
• Competing density-wave orders in a one-dimensional hard-boson model
• Quantum phases of Rydberg atoms on a kagome lattice
• Two-dimensional periodic frustrated Ising models in a transverse field
• Defect-free assembly of 2D clusters of more than 100 single-atom quantum systems
• An omniscient Maxwell's demon
• Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms
• Complex density wave orders and quantum phase transitions in a model of square-lattice Rydberg atom arrays
• Time-step targeting time-dependent and dynamical density matrix renormalization group algorithms with ab initio Hamiltonians
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• Defect-free atomic array formation using Hungarian matching algorithm
• Exponential sum approximations for $t^{-\beta }$
• A simplified and improved approach to tensor network operators in two dimensions

Cited by in corpus (11)

• A tweezer array with 6100 highly coherent atomic qubits
• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation
• Dual-isometric Projected Entangled Pair States
• Efficient optimization and conceptual barriers in variational finite Projected Entangled-Pair States
• Spin-glass quantum phase transition in amorphous arrays of Rydberg atoms
• Clock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems
• Topological order in symmetric blockade structures
• Harnessing Quantum Dynamics for Robust and Scalable Quantum Extreme Learning Machines
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays