Snapshot based characterization of particle currents and the Hall response in synthetic flux lattices

Abstract

Quantum simulators are attracting great interest because they promise insight into the behavior of quantum many-body systems that are prohibitive for classical simulations. The generic output of quantum simulators are snapshots, obtained by means of projective measurements. A central goal of theoretical efforts must be to predict the exact same quantities that can be measured in experiments. Here, we report on the snapshot based calculation of particle currents in quantum lattice models with a conserved number of particles. It is shown how the full probability distribution of locally resolved particle currents can be obtained from suitable snapshot data. Moreover, we investigate the Hall response of interacting bosonic flux ladders, exploiting snapshots drawn from matrix-product states. Flux ladders are minimal lattice models, which enable microscopic studies of the Hall response in correlated quantum phases and they are successfully realized in current quantum-gas experiments. Using a specific pattern of unitary two-site transformations, it is shown that the Hall polarization and the Hall voltage can be faithfully computed from the snapshots obtained in experimentally feasible quench and finite-bias simulations.

arXiv comment11 pages, 6 figures

References in corpus (73)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Quantum Simulation
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Time-dependent variational principle for quantum lattices
• Many-body quantum state tomography with neural networks
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Time-evolution methods for matrix-product states
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Synthetic gauge fields in synthetic dimensions
• Probing entanglement in a many-body-localized system
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Single-atom imaging of fermions in a quantum-gas microscope
• Quantum certification and benchmarking
• Reconstructing quantum states with generative models
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Spin-orbit coupled fermions in an optical lattice clock
• Microscopy of the interacting Harper-Hofstadter model in the few-body limit
• Identifying Quantum Phase Transitions using Artificial Neural Networks on Experimental Data
• 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
• Chiral Ladders and the Edges of Chern Insulators
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Variational quantum Monte Carlo simulations with tensor-network states
• Meissner effect in a bosonic ladder
• Generic Construction of Efficient Matrix Product Operators
• Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
• Perfect Sampling with Unitary Tensor Networks
• Microscopic evolution of doped Mott insulators from polaronic metal to Fermi liquid
• Strings, Projected Entangled Pair States, and variational Monte Carlo methods
• Bose Hubbard Model in a Strong Effective Magnetic Field: Emergence of a Chiral Mott Insulator Ground State
• Classifying Snapshots of the Doped Hubbard Model with Machine Learning
• Chiral Mott insulator with staggered loop currents in the fully frustrated Bose Hubbard model
• Bosonic Mott Insulator with Meissner Currents
• Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
• Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
• Ground States of a Bose-Hubbard Ladder in an Artificial Magnetic Field: Field-Theoretical Approach
• Magnetic crystals and helical liquids in alkaline-earth fermionic gases
• Robust Bilayer Charge-Pumping for Spin- and Density-Resolved Quantum Gas Microscopy
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Theory of Bosons in two-leg ladders with large magnetic fields
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• Spinless Fermionic ladders in a magnetic field: Phase Diagram
• Chiral currents in one-dimensional fractional quantum Hall states
• Microscopic spinon-chargon theory of magnetic polarons in the t-J model
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
• Persisting Meissner state and incommensurate phases of hard-core boson ladders in a flux
• Correlator Convolutional Neural Networks: An Interpretable Architecture for Image-like Quantum Matter Data
• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
• Strongly interacting bosons on a three-leg ladder in the presence of a homogeneous flux
• Vortex lattice melting in a boson-ladder in artificial gauge field
• Analyzing non-equilibrium quantum states through snapshots with artificial neural networks
• Direct sampling of projected entangled-pair states
• Population-imbalance instability in a Bose-Hubbard ladder in the presence of a magnetic flux
• Universal Hall Response in Synthetic Dimensions
• Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
• Imaging topology of Hofstadter ribbons
• Pretopological fractional excitations in the two-leg flux ladder
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Vortex-hole duality: a unified picture of weak and strong-coupling regimes of bosonic ladders with flux
• Reactive Hall response
• Superconducting quantum many-body circuits for quantum simulation and computing
• Probing the Hall Voltage in Synthetic Quantum Systems
• Vanishing Hall Response of Charged Fermions in a Transverse Magnetic Field
• Numerically exact mimicking of quantum gas microscopy for interacting lattice fermions

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• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Adaptive Quantum State Tomography with Active Learning
• Realization of strongly-interacting Meissner phases in large bosonic flux ladders
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Quantifying hole-motion-induced frustration in doped antiferromagnets by Hamiltonian reconstruction
• Confinement in 1+1D ${\mathbb{Z}}_2$ Lattice Gauge Theories at Finite Temperature
• Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
• Snapshot-based detection of $\frac{1}{2}$-Laughlin states: coupled chains and central charge
• Detecting Hidden Order in Fractional Chern Insulators
• Phonon state tomography of electron correlation dynamics in optically excited solids
• Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions