An Aharonov-Bohm interferometer for determining Bloch band topology

Abstract

The geometric structure of an energy band in a solid is fundamental for a wide range of many-body phenomena in condensed matter and is uniquely characterized by the distribution of Berry curvature over the Brillouin zone. In analogy to an Aharonov-Bohm interferometer that measures the magnetic flux penetrating a given area in real space, we realize an atomic interferometer to measure Berry flux in momentum space. We demonstrate the interferometer for a graphene-type hexagonal lattice, where it has allowed us to directly detect the singular $\pi$ Berry flux localized at each Dirac point. We show that the interferometer enables one to determine the distribution of Berry curvature with high momentum resolution. Our work forms the basis for a general framework to fully characterize topological band structures and can also facilitate holonomic quantum computing through controlled exploitation of the geometry of Hilbert space.

arXiv comment5+5 pages

References in corpus (31)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Berry Phase Effects on Electronic Properties
• Experimental realisation of the topological Haldane model
• Quantum fluids of light
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Light-induced gauge fields for ultracold atoms
• 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
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Holonomic Quantum Computation
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Fractional Quantum Hall Physics in Topological Flat Bands
• Merging of Dirac points in a two-dimensional crystal
• Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
• Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• A new magnetic field dependence of Landau levels on a graphene like structure
• Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
• Feshbach resonances in ultracold K(39)
• Tomography of band insulators from quench dynamics
• Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms
• Interferometric approach to measuring band topology in 2D optical lattices
• Direct measurement of quantum phases in graphene via photoemission spectroscopy
• Measuring Z2 topological invariants in optical lattices using interferometry
• Dynamic Optical Superlattices with Topological Bands
• Observation of Stückelberg oscillations in accelerated optical lattices

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• Bipartite charge fluctuations in one-dimensional ${\mathbb{Z}}_2$ superconductors and insulators
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