Detecting Topological Phases in Cold Atoms

Abstract

Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic for neutral atoms. By establishing a natural correspondence between the time-reversal invariant topological insulator and quantum anomalous Hall system, we show for a class of Chern insulators that the topology can be determined by only measuring Bloch eigenstates at highly symmetric points of the Brillouin zone (BZ). Furthermore, we introduce two experimental schemes including the spin-resolved Bloch oscillation to carry out the measurement. These schemes are highly feasible under realistic experimental conditions. Our results may provide a powerful tool to detect topological phases in cold atoms.

4+pages and 4 figures; Supplementary Material is added, with new results obtained in the honeycomb lattice system

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Cited by in corpus (68)

• Light-induced gauge fields for ultracold atoms
• Topological Bands for Ultracold Atoms
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Topological quantum matter with cold atoms
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Artificial gauge fields in materials and engineered systems
• Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
• Uncover Topology by Quantum Quench Dynamics
• Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
• Observation of symmetry-protected topological band with ultracold fermions
• Tomography of band insulators from quench dynamics
• High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
• Measuring topological invariants in photonic systems
• Measurement of Chern numbers through center-of-mass responses
• Dirac, Rashba and Weyl type spin-orbit couplings: toward experimental realization in ultracold atoms
• Dynamical detection of topological charges
• Measuring Z2 topological invariants in optical lattices using interferometry
• Observing topological charges and dynamical bulk-surface correspondence with ultracold atoms
• Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Quantum simulation of non-trivial topology
• Symmetry protected topological phases characterized by isolated exceptional points
• The Realization and Dectection of Weyl Semimetals and Chiral Anomaly in Cold Atomic Systems
• Phase spectroscopy of topological invariants in photonic crystals
• Direct Probe of Topological Order for Cold Atoms
• Experimental Detection of the Quantum Phases of a Three-Dimensional Topological Insulator on a Spin Quantum Simulator
• Non-Abelian Bloch oscillations in higher-order topological insulators
• Dynamically generated flat-band phases in optical kagome lattices
• $p$-wave chiral superfluidity from an $s$-wave interacting atomic Fermi gas
• Imaging topology of Hofstadter ribbons
• Experimental observation of dynamical bulk-surface correspondence for topological phases
• Spin-orbit coupling and topological phases for ultracold atoms
• Mass and chirality inversion of a Dirac cone pair in Stückelberg interferometry
• Measuring Hopf links and Hopf invariants in a quenched topological Raman lattice
• Anomalous charge pumping in a one-dimensional optical superlattice
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
• Direct manifestation of band topology in the winding number of the Wannier-Stark ladder
• Design of laser-coupled honeycomb optical lattices supporting Chern insulators
• Time-reversal symmetric topological metal
• Chiral Topological Orders in an Optical Raman Lattice
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Chern Kondo Insulator in an Optical Lattice
• Link between \emph{Zitterbewegung} and topological phase transition
• A Scaling Behavior of Bloch Oscillation in Weyl Semimetals
• Geometric phase in Stückelberg interferometry
• Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
• Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators
• Generating and detecting topological phases with higher Chern number
• Berry Curvature and Bulk-Boundary Correspondence from Transport Measurement for Photonic Chern Bands
• Real-space effects of a quench in the Su-Schrieffer-Heeger model and elusive dynamical appearance of the topological edge states
• Seeing Hofstadter's Butterfly in Atomic Fermi Gases
• Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
• Response of fermions in Chern bands to spatially local quenches
• Intertwined Space-Time Symmetry, Orbital Magnetism and Dynamical Berry Curvature in a Circularly Shaken Optical Lattice
• Cyclotron dynamics of interacting bosons in artificial magnetic fields
• Efficient algorithm to compute the Berry conductivity
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• Critical temperature in the BCS-BEC crossover with spin-orbit coupling
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• Simulation of nodal-line semimetal in amplitude-shaken optical lattices
• Anomalous Bloch oscillation and electrical switching of edge magnetization in bilayer graphene nanoribbon
• Out-of-plane spin polarization of edge currents in Chern insulator with Rashba spin-orbit interaction
• Interferometric detection of Chern numbers in topological optical lattices