Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms
arXiv:1305.3872 · doi:10.1103/PhysRevLett.111.135302
Abstract
We propose a scheme to measure the quantized Hall conductivity of an ultracold Fermi gas initially prepared in a topological (Chern) insulating phase, and driven by a constant force. We show that the time evolution of the center of mass, after releasing the cloud, provides a direct and clear signature of the topologically invariant Chern number. We discuss the validity of this scheme, highlighting the importance of driving the system with a sufficiently strong force to displace the cloud over measurable distances while avoiding band-mixing effects. The unusual shapes of the driven atomic cloud are qualitatively discussed in terms of a semi-classical approach.
5 pages (including 5 figures) + 5 appendices (including 12 figures); Revised version published in Physical Review Letters
References in corpus (24)
- Photonic Floquet Topological Insulators
- Quantum fluids of light
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Bose-Einstein condensation of atoms in a uniform potential
- Single-Spin Addressing in an Atomic Mott Insulator
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Fractional Quantum Hall Effect in Optical Lattices
- Direct imaging of topological edge states in cold-atom systems
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
- Interferometric approach to measuring band topology in 2D optical lattices
- Topological Insulators and Metals in Atomic Optical Lattices
- Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
- Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
- Direct measurement of topological invariants in optical lattices
- Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
- Double transfer through Dirac points in a tunable honeycomb optical lattice
- Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
- Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials
- Edge Transport in 2D Cold Atom Optical Lattices
- Hall response of interacting bosonic atoms in strong gauge fields: from condensed to FQH states
Cited by in corpus (84)
- Experimental realisation of the topological Haldane model
- Light-induced gauge fields for ultracold atoms
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Topological Bands for Ultracold Atoms
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Realization of an anomalous Floquet topological system with ultracold atoms
- Topological quantum matter with cold atoms
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Four-Dimensional Quantum Hall Effect with Ultracold Atoms
- Artificial gauge fields in materials and engineered systems
- Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
- Tomography of band insulators from quench dynamics
- Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
- Probing topology by "heating": Quantized circular dichroism in ultracold atoms
- Anomalous and Quantum Hall Effects in Lossy Photonic Lattices
- Measuring topological invariants in photonic systems
- Topological fractional pumping with alkaline-earth(-like) ultracold atoms
- Two-dimensional topological quantum walks in the momentum space of structured light
- Measurement of Chern numbers through center-of-mass responses
- Unsupervised machine learning of topological phase transitions from experimental data
- Floquet Edge States with Ultracold Atoms
- Measuring the winding number in a large-scale chiral quantum walk
- Quantum simulation of non-trivial topology
- Electromagnetic response of quantum Hall systems in dimensions five and six and beyond
- Quantum Simulation of a Topological Mott Insulator with Rydberg Atoms in a Lieb Lattice
- Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
- Dynamic Optical Superlattices with Topological Bands
- Floquet chiral magnetic effect
- Phase spectroscopy of topological invariants in photonic crystals
- Quantum Mechanics with a Momentum-Space Artificial Magnetic Field
- Direct Probe of Topological Order for Cold Atoms
- Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
- Dropping an impurity into a Chern insulator: a polaron view on topological matter
- Kibble-Zurek behavior in disordered Chern insulators
- Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
- Equilibrium Formulae for Transverse Magneto-transport of Strongly Correlated Metals
- Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
- Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
- Bosonic fractional quantum Hall states in driven optical lattices
- Anomalous charge pumping in a one-dimensional optical superlattice
- Measuring Chern numbers in Hofstadter strips
- Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
- Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
- Chern numbers and chiral anomalies in Weyl butterflies
- Direct manifestation of band topology in the winding number of the Wannier-Stark ladder
- Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
- Design of laser-coupled honeycomb optical lattices supporting Chern insulators
- Chiral Topological Orders in an Optical Raman Lattice
- Topological phases in small quantum Hall samples
- Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
- Large- Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
- Evolution of the Hofstadter butterfly in a tunable optical lattice
- Slow quenches in Chern insulator ribbons
- Linking topological features of the Hofstadter model to optical diffraction figures
- Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
- A dark state of Chern bands: Designing flat bands with higher Chern number
- Generating and detecting topological phases with higher Chern number
- Dynamical Generation of Topological Magnetic Lattices for Ultracold Atoms
- Berry-electrodynamics - Anomalous drift and pumping from time-dependent Berry connection
- Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
- Momentum-space Landau levels in driven-dissipative cavity arrays
- Wavepacket dynamics on Chern band lattices in a trap
- Response of fermions in Chern bands to spatially local quenches
- Interaction-Driven Topological Switch in a -Band Honeycomb Lattice
- Artificial magnetic field for synthetic quantum matter without dynamical modulation
- Intertwined Space-Time Symmetry, Orbital Magnetism and Dynamical Berry Curvature in a Circularly Shaken Optical Lattice
- Topological phases in the Fermi-Hofstadter-Hubbard model on hybrid-space ladders
- Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems
- Efficient algorithm to compute the Berry conductivity
- Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
- Chern number spectrum of ultra-cold fermions in optical lattices tuned independently via artificial magnetic, Zeeman and spin-orbit fields
- Determination of Chern numbers with a phase retrieval algorithm
- Dynamics of weakly interacting bosons in optical lattices with flux
- Nonlinear Hall response in the driving dynamics of ultracold atoms in optical lattices
- Generating topological optical flux lattices for ultracold atoms by modulated Raman and radio-frequency couplings
- Few-particle dynamics of fractional quantum Hall lattice models
- Probing the topology of the two-photon bands via time-dependent quantum walks
- Duality breaking, mobility edges, and the connection between topological Aubry-André and quantum Hall insulators in atomic wires with fermions
- Interferometric detection of Chern numbers in topological optical lattices
- Topological Color-Hall Insulators: SU(3) Fermions in Optical Lattices
- Detecting degenerate bands topological invariants in optical lattice
- Dynamics of 2D topological quadrupole insulator and Chern insulator induced by real-space topological changes