Uncover band topology via quantized drift in two-dimensional Bloch oscillations
arXiv:2108.07351 · doi:10.1103/PhysRevB.104.104314
Abstract
We propose to measure band topology via quantized drift of Bloch oscillations in a two-dimensional Harper-Hofstadter lattice subjected to tilted fields in both directions. When the difference between the two tilted fields is large, Bloch oscillations uniformly sample all momenta, and hence the displacement in each direction tends to be quantized at multiples of the overall period, regardless of any momentum of initial state. The quantized displacement is related to a reduced Chern number defined as a line integral of Berry curvature in each direction, providing an almost perfect measurement of Chern number. Our scheme can apply to detect Chern number and topological phase transitions not only for the energy-separable band, but also for energy-inseparable bands which cannot be achieved by conventional Thouless pumping or integer quantum Hall effect.
arXiv comment11 pages, 9 figures
References in corpus (47)
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Berry Phase Effects on Electronic Properties
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Experimental realisation of the topological Haldane model
- Colloquium: Topological Band Theory
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Landau-Zener-Stuckelberg interferometry
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
- Fractional quantum Hall states of atoms in optical Lattices
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
- Interacting topological insulators: a review
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Experimental Measurement of the Berry Curvature from Anomalous Transport
- Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
- Measuring topology by dynamics: Chern number from linking number
- Observation of a non-Abelian Yang Monopole: From New Chern Numbers to a Topological Transition
- Uncover Topology by Quantum Quench Dynamics
- Measuring Topological Number of a Chern-Insulator from Quench Dynamics
- Observation of symmetry-protected topological band with ultracold fermions
- Dynamical classification of topological quantum phases
- Topological Phase Transitions and Thouless Pumping of Light in Photonic Waveguide Arrays
- Tomography of band insulators from quench dynamics
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Geometrical pumping with a Bose-Einstein condensate
- Quantized Adiabatic Transport in Momentum Space
- Observation of nodal-line semimetal with ultracold fermions in an optical lattice
- Probing one-dimensional topological phases in waveguide lattices with broken chiral symmetry
- Dynamical detection of topological charges
- Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
- Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
- Geometry of Bloch states probed by Stückelberg interferometry
- Dynamic winding number for exploring band topology
- Imaging topology of Hofstadter ribbons
- Efficient algorithm to compute the second Chern number in four dimensional systems
- Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
- Dispersion Suppressed Topological Thouless Pumping
- Topological pumping assisted by Bloch oscillations
- Probing topological phases in waveguide superlattices
- Wavepacket dynamics on Chern band lattices in a trap
- Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice