Mass and chirality inversion of a Dirac cone pair in Stückelberg interferometry

Abstract

We show that a Stückelberg interferometer made of two massive Dirac cones can reveal information on band eigenstates such as the chirality and mass sign of the cones. For a given spectrum with two gapped cones, we propose several low-energy Hamiltonians differing by their eigenstates properties. The corresponding inter-band transition probability is affected by such differences in its interference fringes being shifted by a new phase of geometrical origin. This phase can be a useful bulk probe for topological band structures realized with artificial crystals.

5 pages, 4 figures, 1 table; accepted for publication in Phys. Rev. Lett

References in corpus (15)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Artificial graphene as a tunable Dirac material
• Merging of Dirac points in a two-dimensional crystal
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
• Two-dimensional Mott-Hubbard electrons in an artificial honeycomb lattice
• Direct imaging of topological edge states in cold-atom systems
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Topologically Protected Zero Modes in Twisted Bilayer Graphene
• Interferometric approach to measuring band topology in 2D optical lattices
• Detecting Topological Phases in Cold Atoms
• Direct measurement of topological invariants in optical lattices
• Designing Topological Bands in Reciprocal Space

Cited by in corpus (22)

• Topological Bands for Ultracold Atoms
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Bloch state tomography using Wilson lines
• Tomography of band insulators from quench dynamics
• Geometry of Bloch states probed by Stückelberg interferometry
• Observation of valley Landau-Zener-Bloch oscillations and pseudospin imbalance in photonic graphene
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Artificial graphenes: Dirac matter beyond condensed matter
• Non-equilibrium transport in the pseudospin-1 Dirac-Weyl system
• Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
• Bloch-Landau-Zener dynamics in single-particle Wannier-Zeeman systems
• Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice
• Geometric phase in Stückelberg interferometry
• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• High Landau levels of 2D electrons near the topological transition caused by interplay of spin-orbit and Zeeman energy shifts
• Bloch Oscillation Phases investigated by Multi-path Stuckelberg Atom Interferometry
• Ab initio analysis of the topological phase diagram of the Haldane model
• Dynamic Symmetries and Quantum Nonadiabatic Transitions
• Artificial gauge fields and topological insulators in Moire superlattices
• Nonadiabatic transition at a band-touching point
• Momentum-space dynamics of Dirac quasiparticles in correlated random potentials: Interplay between dynamical and Berry phases
• Interferometric detection of Chern numbers in topological optical lattices