Gauge-theoretic origin of Rydberg quantum spin liquids

Abstract

Recent atomic physics experiments and numerical works have reported complementary signatures of the emergence of a topological quantum spin liquid in models with blockade interactions. However, the specific mechanism stabilizing such a phase remains unclear. Here, we introduce an exact relation between an Ising-Higgs lattice gauge theory on the kagome lattice and blockaded models on Ruby lattices. This relation elucidates the origin of previously observed topological spin liquids by directly linking the latter to a deconfined phase of a solvable gauge theory. By means of exact diagonalization and unbiased quantum Monte Carlo simulations, we show that the deconfined phases extend in a broad region of the parameter space; these states are characterized by a large ground state overlap with resonating valence bond wavefunctions. These blockaded models include both creation/annihilation and hopping dynamics, and can be experimentally realized with Rydberg-dressed atoms, offering novel and controllable platforms for the engineering and characterisation of spin liquid states.

7+7 pages, 4+2 figures

References in corpus (16)

• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• An experimental and theoretical guide to strongly interacting Rydberg gases
• Coherent many-body spin dynamics in a long-range interacting Ising chain
• Quantum phases of Rydberg atoms on a kagome lattice
• Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
• Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Resonating valence bond states in the PEPS formalism
• Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
• Long-lived Bell states in an array of optical clock qubits
• d-wave resonating valence bond states of fermionic atoms in optical lattices
• Dynamical preparation of quantum spin liquids in Rydberg atom arrays
• Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model
• High-resolution spectroscopy and single-photon Rydberg excitation of reconfigurable ytterbium atom tweezer arrays utilizing a metastable state
• Destroying a topological quantum bit by condensing Ising vortices

Cited by in corpus (24)

• Spatially tunable spin interactions in neutral atom arrays
• Emergent Gauge Theory in Rydberg Atom Arrays
• Enhancing Detection of Topological Order by Local Error Correction
• Variational Approach to Quantum Spin Liquid in a Rydberg Atom Simulator
• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
• $Abinitio$ derivation of lattice gauge theory dynamics for cold gases in optical lattices
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Quantum dimer models with Rydberg gadgets
• Quantum criticality of a ${\mathbb{Z}}_3$ symmetric spin chain with long-range interactions
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Predicting Topological Entanglement Entropy in a Rydberg analog simulator
• Classification and emergence of quantum spin liquids in chiral Rydberg models
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
• Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• Topological order in symmetric blockade structures
• Geometric phase and multipartite entanglement of Rydberg atom chains
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• Optimizing the dynamical preparation of quantum spin lakes on the ruby lattice
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Ultracold atomic lattice systems for simulating topological phases: A review