Observation of brane parity order in programmable optical lattices

Abstract

The Mott-insulating phase of the two-dimensional (2d) Bose-Hubbard model is expected to be characterized by a non-local brane parity order. Parity order captures the presence of microscopic particle-hole fluctuations and entanglement, whose properties depend on the underlying lattice geometry. We realize 2d Bose-Hubbard models in dynamically tunable lattice geometries, using neutral atoms in a novel passively phase-stable tunable optical lattice in combination with programmable site-blocking potentials. We benchmark the performance of our system by single-particle quantum walks in the square, triangular, kagome and Lieb lattice. In the strongly correlated regime, we microscopically characterize the geometry dependence of the quantum fluctuations and experimentally validate the brane parity as a proxy for the non-local order parameter signaling the superfluid-to-Mott insulating phase transition.

Fixed typos and formatting

References in corpus (16)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Single-Spin Addressing in an Atomic Mott Insulator
• Strongly Correlated Quantum Walks in Optical Lattices
• A lattice of double wells for manipulating pairs of cold atoms
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Hidden order in 1D Bose insulators
• Rise and fall of hidden string order of lattice bosons
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Tweezer-programmable 2D quantum walks in a Hubbard-regime lattice
• A Fermi-Hubbard Optical Tweezer Array
• Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
• Single-site-resolved imaging of ultracold atoms in a triangular optical lattice
• Reference data for phase diagrams of triangular and hexagonal bosonic lattices
• Hubbard models and state preparation in an optical Lieb lattice
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice

Cited by in corpus (14)

• High-fidelity detection of large-scale atom arrays in an optical lattice
• A strontium quantum-gas microscope
• Detecting Quantum Anomalies in Open Systems
• Bosonic Quantum Error Correction with Neutral Atoms in Optical Dipole Traps
• Distinguishing Quantum Phases through Cusps in Full Counting Statistics
• Hubbard parameters for programmable tweezer arrays
• Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Statistics
• A Multi-Purpose Platform for Analog Quantum Simulation
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Kibble-Zurek mechanism and errors of gapped quantum phases
• Measuring Non-local Brane Order with Error-corrected Parity Snapshots
• Nonlocal order parameter of pair superfluids
• Fundamental role of nonlocal orders in 1D Extended Bose-Hubbard Model
• Dynamical quantum phase transitions on random networks