Experimental reconstruction of the Berry curvature in a topological Bloch band

Abstract

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry of the eigenstates across the Brillouin zone. Employing fermionic ultracold atoms in a hexagonal optical lattice, we generate topological bands using resonant driving and show a full momentum-resolved measurement of the ensuing Berry curvature. Our results pave the way to explore intriguing phases of matter with interactions in topological band structures.

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• Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models
• Seeing topological order in time-of-flight measurements
• Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
• Reaching Fractional Quantum Hall States with Optical Flux Lattices
• Tomography of band insulators from quench dynamics
• Giant spin oscillations in an ultracold Fermi sea
• Effective time-independent description of optical lattices with periodic driving
• Dynamic Optical Superlattices with Topological Bands
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Cited by in corpus (351)

• Topological Bands for Ultracold Atoms
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• Dynamical quantum phase transitions: a review
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• Realization of an anomalous Floquet topological system with ultracold atoms
• Topological Non-Hermitian skin effect
• Topological quantum matter with cold atoms
• Spin-orbit coupled fermions in an optical lattice clock
• Higher-order topological corner states induced by gain and loss
• Band geometry, Berry curvature and superfluid weight
• Machine Learning Topological Invariants with Neural Networks
• Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
• Artificial gauge fields in materials and engineered systems
• Identifying Quantum Phase Transitions using Artificial Neural Networks on Experimental Data
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• Experimental Measurement of the Berry Curvature from Anomalous Transport
• Simulating dynamic quantum phase transitions in photonic quantum walks
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Measuring topology by dynamics: Chern number from linking number
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• Tailoring quantum gases by Floquet engineering
• Knots and Non-Hermitian Bloch Bands
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
• Topological Euler class as a dynamical observable in optical lattices
• Uncover Topology by Quantum Quench Dynamics
• Measuring quantized circular dichroism in ultracold topological matter
• Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
• Measuring Topological Number of a Chern-Insulator from Quench Dynamics
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Quantum Spin Dynamics with Pairwise-Tunable, Long-Range Interactions
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• Floquet Higher-Order Topological Insulators with Anomalous Dynamical Polarization
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• Measurement of Chern numbers through center-of-mass responses
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• Unsupervised machine learning of topological phase transitions from experimental data
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• Effective Theory of Non-Adiabatic Quantum Evolution Based on the Quantum Geometric Tensor
• Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
• Dualities and non-Abelian mechanics
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• A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
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• Experimental observation of dynamical bulk-surface correspondence for topological phases
• Spin-orbit coupling and topological phases for ultracold atoms
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• Phase vortices of the quenched Haldane Model
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• Direct Geometric Probe of Singularities in Band Structure
• Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics
• Supersymmetric polarization anomaly in photonic discrete-time quantum walks
• The Floquet Engineer's Handbook
• Efficient algorithm to compute the second Chern number in four dimensional systems
• Enhanced higher harmonic generation from nodal topology
• Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
• Direct measurement of quantum Fisher information
• Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
• Interacting Stochastic Topology and Mott Transition from Light Response
• Formation of spontaneous density-wave patterns in DC driven lattices
• Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
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• Observing geometry of quantum states in a three-level system
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• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
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• Berry-electrodynamics - Anomalous drift and pumping from time-dependent Berry connection
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• Floquet Engineering of Non-Equilibrium Superradiance
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