Minimum instances of topological matter in an optical plaquette

Abstract

We propose experimental schemes to create and probe minimum forms of different topologically ordered states in a plaquette of an optical lattice: Resonating Valence Bond, Laughlin and string-net condensed states. We show how to create anyonic excitations on top of these liquids and detect their fractional statistics. In addition, we propose a way to design a plaquette ring-exchange interaction, the building block Hamiltonian of a lattice topological theory. Our preparation and detection schemes combine different techniques already demonstrated in experiments with atoms in optical superlattices.

arXiv comment8 pages, 11 figures

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Cited by in corpus (40)

• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Cooling a single atom in an optical tweezer to its quantum ground state
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• Controlling and Detecting Spin Correlations of Ultracold Atoms in Optical lattices
• Experimental realization of plaquette resonating valence bond states with ultracold atoms in optical superlattices
• Fractonic Superfluids
• Simulations of quantum double models
• Generation and Detection of Atomic Spin Entanglement in Optical Lattices
• Spin-dependent Optical Superlattice
• Preparation and detection of d-wave superfluidity in two-dimensional optical superlattices
• CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices
• Scalable cold-atom quantum simulator for two-dimensional QED
• Quantum memories and error correction
• An $\eta$-condensate of fermionic atom pairs via adiabatic state preparation
• Preparation of Decoherence Free Cluster States with Optical Superlattices
• Quantum critical phase transition between two topologically-ordered phases in the Ising toric code bilayer
• Fabrication of a planar micro Penning trap and numerical investigations of versatile ion positioning protocols
• Probing interaction-induced ferromagnetism in optical superlattices
• Quantum robustness and phase transitions of the 3D Toric Code in a field
• Dynamical creation of bosonic Cooper-like pairs
• Competing topological orders in three dimensions: X-cube versus toric code
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Frustration, Area Law, and Interference in Quantum Spin Models
• Minimal instances for toric code ground states
• Topological matter with collective encoding and Rydberg blockade
• Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms
• Linear Flavor-Wave Analysis of SU(4)-Symmetric Tetramer Model with Population Imbalance
• Quantum metrology with precision reaching beyond-$1/N$ scaling through $N$-probe entanglement generating interactions
• Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Schrieffer-Wolff Transformations for Experiments: Dynamically Suppressing Virtual Doublon-Hole Excitations in a Fermi-Hubbard Simulator
• Realizing the strongly correlated $d$-Mott state in a fermionic cold atom optical lattice
• An anyon model in a toric honeycomb lattice
• Fracton and topological order in the XY checkerboard toric code
• Bottom-up configuration-interaction emulations of ultracold fermions in entangled optical plaquettes: building blocks of unconventional superconductivity
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d