Numerically exact mimicking of quantum gas microscopy for interacting lattice fermions
arXiv:2009.07377 · doi:10.1103/PhysRevB.104.075155
Abstract
A numerical method is presented for reproducing fermionic quantum gas microscope experiments in equilibrium. By employing nested componentwise direct sampling of fermion pseudo-density matrices, as they arise naturally in determinantal quantum Monte Carlo (QMC) simulations, a stream of pseudo-snapshots of occupation numbers on large systems can be produced. There is a sign problem even when the conventional determinantal QMC algorithm can be made sign-problem free, and every pseudo-snapshot comes with a sign and a reweighting factor. Nonetheless, this "sampling sign problem" turns out to be weak and manageable in a large, relevant parameter regime. The method allows to compute distribution functions of arbitrary quantities defined in occupation number space and, from a practical point of view, facilitates the computation of complicated conditional correlation functions. While the projective measurements in quantum gas microscope experiments achieve direct sampling of occupation number states from the density matrix, the presented numerical method requires a Markov chain as an intermediate step and thus achieves only indirect sampling, but the full distribution of pseudo-snapshots after (signed) reweighting is identical to the distribution of snapshots from projective measurements
arXiv comment5 + 10 pages, 3 + 8 figures, including link to program code, published version
References in corpus (44)
- Pixel Recurrent Neural Networks
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
- Single-atom imaging of fermions in a quantum-gas microscope
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- A Quantum Gas Microscope for Fermionic Atoms
- Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
- Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
- Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Bad metallic transport in a cold atom Fermi-Hubbard system
- Deep autoregressive models for the efficient variational simulation of many-body quantum systems
- Unsupervised Generative Modeling Using Matrix Product States
- Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases
- Solving Statistical Mechanics Using Variational Autoregressive Networks
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Imaging magnetic polarons in the doped Fermi-Hubbard model
- String patterns in the doped Hubbard model
- Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
- Imaging and addressing of individual fermionic atoms in an optical lattice
- Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
- Spin Transport in a Mott Insulator of Ultracold Fermions
- Perfect Sampling with Unitary Tensor Networks
- Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
- Quantum Entanglement of Interacting Fermions in Monte Carlo
- Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
- Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
- Robust Bilayer Charge-Pumping for Spin- and Density-Resolved Quantum Gas Microscopy
- Direct observation of incommensurate magnetism in Hubbard chains
- Coupling a mobile hole to an antiferromagnetic spin background: Transient dynamics of a magnetic polaron
- Microscopic spinon-chargon theory of magnetic polarons in the t-J model
- Conductivity spectrum of ultracold atoms in an optical lattice
- Spin and charge correlations across the metal-to-insulator crossover in the half-filled Hubbard model
- Neel order, ring exchange and charge fluctuations in the half-filled Hubbard model
- Full Counting Statistics for Interacting Fermions with Determinantal Quantum Monte Carlo Simulations
- Visualizing Strange Metallic Correlations in the 2D Fermi-Hubbard Model with AI
- Doped Mott insulators are insulators: hole localization in the cuprates
- Single hole dynamics in the one dimensional t-J model
- Calculating Renyi Entropies with Neural Autoregressive Quantum States
- Non-Gaussian distribution of collective operators in quantum spin chains
- Quantum Monte Carlo simulations of infinitely strongly correlated fermions
- Quantum Information Scrambling Through a High-Complexity Operator Mapping
- Evidence of attraction between charge-carriers in a doped Mott insulator
- Quantum state tomography on a plaquette in the 2D Hubbard model
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