Measuring Non-local Brane Order with Error-corrected Parity Snapshots
arXiv:2305.10592 · doi:10.1103/PhysRevX.14.011003
Abstract
Exotic quantum many-body states, such as Haldane and spin liquid phases, can exhibit remarkable features like fractional excitations and non-abelian statistics and offer new understandings of quantum entanglement in many-body quantum systems. These phases are classified by non-local correlators that can be directly measured in atomic analog quantum simulating platforms, such as optical lattices and Rydberg atom arrays. However, characterizing these phases in large systems is experimentally challenging because they are sensitive to local errors like atom loss, which suppress its signals exponentially. Additionally, protocols for systematically identifying and mitigating uncorrelated errors in analog quantum simulators are lacking. Here, we address these challenges by developing an error correction method for large-scale neutral atom quantum simulators using optical lattices. Our error correction method can distinguish correlated particle-hole pairs from uncorrelated holes in the Mott insulator. After removing the uncorrelated errors, we observe a dramatic improvement in the non-local parity correlator and find the perimeter scaling law. Furthermore, the error model provides a statistical estimation of fluctuations in site occupation, from which we measure the generalized brane correlator and confirm that it can be an order parameter for Mott insulators in two dimensions. Our work provides a promising avenue for investigating and characterizing exotic phases of matters in large-scale quantum simulators.
arXiv comment7 pages, 4 figures, and supplemental materials
References in corpus (38)
- Fault-tolerant quantum computation by anyons
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Topological quantum memory
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Quantum thermalization through entanglement in an isolated many-body system
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Quantum Monte Carlo with Directed Loops
- Stochastic series expansion method with operator-loop update
- Quasi-adiabatic Continuation of Quantum States: The Stability of Topological Ground State Degeneracy and Emergent Gauge Invariance
- Worm algorithms for classical statistical models
- Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
- Monte Carlo study of two-dimensional Bose-Hubbard model
- Hidden order in 1D Bose insulators
- Fast Decoders for Topological Quantum Codes
- Rise and fall of hidden string order of lattice bosons
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Prediction of Toric Code Topological Order from Rydberg Blockade
- Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
- A quantum topological phase transition at the microscopic level
- Boson Mott insulators at finite temperatures
- Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
- Robust Bilayer Charge-Pumping for Spin- and Density-Resolved Quantum Gas Microscopy
- Directed Loop Updates for Quantum Lattice Models
- Quantum gas microscopy with spin, atom-number and multi-layer readout
- Direct observation of non-local fermion pairing in an attractive Fermi-Hubbard gas
- Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
- Non-local String Order Parameter in the Kitaev-Heisenberg Ladder
- A discriminating string order parameter for topological phases of gapped SU(N) spin chains
- An unsupervised deep learning algorithm for single-site reconstruction in quantum gas microscopes
- Non-local order in Mott insulators, Duality and Wilson Loops
- Observation of brane parity order in programmable optical lattices
- Site-Resolved Imaging of Bosonic Mott Insulator of Li atoms
- Non local parity order in the two-dimensional Mott insulator
- Brane parity orders in the insulating state of Hubbard ladders
- Extraction and identification of noise patterns for ultracold atoms in an optical lattice