Interferometric Measurements of Many-body Topological Invariants using Mobile Impurities

Abstract

Topological quantum phases cannot be characterized by Ginzburg-Landau type order parameters, and are instead described by non-local topological invariants. Experimental platforms capable of realizing such exotic states now include "synthetic" many-body systems such as ultracold atoms or photons. Unique tools available in these systems enable a new characterization of strongly correlated many-body states. Here we propose a general scheme for detecting topological order using interferometric measurements of elementary excitations. The key ingredient is the use of mobile impurities which bind to quasiparticles of a host many-body system. Specifically we show how fractional charges can be probed in the bulk of fractional quantum Hall systems. We demonstrate that combining Ramsey interference with Bloch oscillations can be used to measure Chern numbers of individual quasiparticles, which gives a direct probe of their fractional charges. We discuss possible extensions of our method to other topological many-body systems, such as spin liquids.

11 pages, 3 figures, 3 pages Supplementary

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Nearly-flat bands with nontrivial topology
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Fractional quantum Hall effect in the absence of Landau levels
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Fractional Quantum Hall Effect in Optical Lattices
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Measuring entanglement entropy of a generic many-body system with a quantum switch
• Synthetic Landau levels for photons
• Interferometric approach to measuring band topology in 2D optical lattices
• Topological growing of Laughlin states in synthetic gauge fields
• Fractional angular momentum in cold atom systems
• Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields
• Detecting two-site spin-entanglement in many-body systems with local particle-number fluctuations

Cited by in corpus (63)

• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topological quantum matter with cold atoms
• Observation of Laughlin states made of light
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Bloch oscillations in the absence of a lattice
• Realization of a fractional quantum Hall state with ultracold atoms
• Observing Topological Invariants Using Quantum Walk in Superconducting Circuits
• Many-body topological invariants from randomized measurements
• Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
• A Strongly Interacting Polaritonic Quantum Dot
• Many-body Chern number from statistical correlations of randomized measurements
• Detecting fractional Chern insulators through circular dichroism
• Polaron-Polaritons in the Integer and Fractional Quantum Hall Regimes
• Driven dissipative dynamics and topology of quantum impurity systems
• Variational approach for impurity dynamics at finite temperature
• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Extraction of many-body Chern number from a single wave function
• Monitoring Quantum Simulators via Quantum Non-Demolition Couplings to Atomic Clock Qubits
• Non-Hermitian Squeezed Polarons
• Dropping an impurity into a Chern insulator: a polaron view on topological matter
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Recent Developments in Fractional Chern Insulators
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
• Disorder-Assisted Assembly of Strongly Correlated Fluids of Light
• Quantum sensors for the generating functional of interacting quantum field theories
• Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
• Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Polarons and bipolarons in a two-dimensional square lattice
• Topological polarons in halide perovskites
• Tracing non-Abelian anyons via impurity particles
• Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
• Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
• Dynamical formation of polarons in a Bose-Einstein condensate: A variational approach
• Topological transport of mobile impurities
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
• Hartree-Fock treatment of Fermi polarons using the Lee-Low-Pine transformation
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Probing the dynamic structure factor of a neutral Fermi superfluid along the BCS-BEC crossover using atomic impurity qubits
• Polaron spectroscopy of interacting Fermi systems: insights from exact diagonalization
• Polaron in a $p+ip$ Fermi topological superfluid
• Michelson Interferometry of High-order Harmonic Generation in Solids
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Chiral polaron formation on the edge of topological quantum matter
• Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms
• Mobile impurity probing a two-dimensional superfluid phase transition
• Polaron spectra and edge singularities for correlated flat bands
• Artificial Magnetic Field Quenches in Synthetic Dimensions
• Lattice Bose polarons at strong coupling and quantum criticality
• How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
• Surface excitations relaxation in the Kondo insulator Sm${}_{1-x}$Gd${}_x$B${}_6$
• Anyon-trions in atomically thin semiconductor heterostructures
• Tunable breakdown of the polaron picture for mobile impurities in a topological semimetal
• Bound states in two-dimensional Fermi systems with quadratic band touching
• The Bose-Hubbard polaron from weak to strong coupling
• Sensing the binding and unbinding of anyons at impurities
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
• Absence of gapless Majorana edge modes in few-leg bosonic flux ladders
• Symmetry-protected topological polarons
• Detecting degenerate bands topological invariants in optical lattice