Determination of Chern numbers with a phase retrieval algorithm
arXiv:1812.05375 · doi:10.1103/PhysRevA.99.043611
Abstract
Ultracold atoms in optical lattices form a clean quantum simulator platform which can be utilized to examine topological phenomena and test exotic topological materials. Here we propose an experimental scheme to measure the Chern numbers of two-dimensional multiband topological insulators with bosonic atoms. We show how to extract the topological invariants out of a sequence of time-of-flight images by applying a phase retrieval algorithm to matter waves. We illustrate advantages of using bosonic atoms as well as efficiency and robustness of the method with two prominent examples: the Harper-Hofstadter model with an arbitrary commensurate magnetic flux and the Haldane model on a brick-wall lattice.
arXiv commentVersion accepted for publication in Phys. Rev. A (11 pages, 8 figures)
References in corpus (54)
- Topological Insulators
- Topological insulators and superconductors
- Many-Body Physics with Ultracold Gases
- Experimental realisation of the topological Haldane model
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Atomic quantum gases in periodically driven optical lattices
- Light-induced gauge fields for ultracold atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- The cold atom Hubbard toolbox
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- A unified evaluation of iterative projection algorithms for phase retrieval
- Superfluid-insulator transition in a periodically driven optical lattice
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Non-standard Hubbard models in optical lattices: a review
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
- Can One Trust Quantum Simulators?
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Simulations of non-Abelian gauge theories with optical lattices
- Seeing topological order in time-of-flight measurements
- Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
- Expansion of a coherent array of Bose-Einstein condensates
- Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
- Optical Abelian Lattice Gauge Theories
- Creating artificial magnetic fields for cold atoms by photon-assisted tunneling
- Digital lattice gauge theories
- 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
- Geometrical pumping with a Bose-Einstein condensate
- Expansion of a quantum gas released from an optical lattice
- Schwinger pair production with ultracold atoms
- Spin pumping and measurement of spin currents in optical superlattices
- Discrete Abelian Gauge Theories for Quantum Simulations of QED
- Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms
- Direct measurement of topological invariants in optical lattices
- Toolbox for Abelian lattice gauge theories with synthetic matter
- Simulation of non-Abelian lattice gauge fields with a single component gas
- Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
- Measuring Chern numbers in Hofstadter strips
- Optimized fringe removal algorithm for absorption images
- Topological phase transitions in tilted optical lattices
- Quantum optics and frontiers of physics: The third quantum revolution
- Simulation of frustrated classical XY models with ultra-cold atoms in 3D triangular optical lattices
- Condensate Phase Microscopy
- A tractable prescription for large-scale free flight expansion of wavefunctions