Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems
arXiv:1803.01010 · doi:10.1103/PhysRevA.97.061602
Abstract
The dissipative response of a quantum system upon a time-dependent drive can be exploited as a probe of its geometric and topological properties. In this work, we explore the implications of such phenomena in the context of two-dimensional gases subjected to a uniform magnetic field. It is shown that a filled Landau level exhibits a quantized circular dichroism, which can be traced back to its underlying non-trivial topology. Based on selection rules, we find that this quantized circular dichroism can be suitably described in terms of Rabi oscillations, whose frequencies satisfy simple quantization laws. Moreover, we discuss how these quantized dissipative responses can be probed locally, both in the bulk and at the boundaries of the quantum Hall system. This work suggests alternative forms of topological probes in quantum systems based on circular dichroism.
arXiv comment7 pages, including 3 figures and Appendix
References in corpus (41)
- Many-Body Physics with Ultracold Gases
- Photonic Floquet Topological Insulators
- Experimental realisation of the topological Haldane model
- Artificial gauge potentials for neutral atoms
- Imaging topological edge states in silicon photonics
- Atomic quantum gases in periodically driven optical lattices
- Light-induced gauge fields for ultracold atoms
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Quantized circular photogalvanic effect in Weyl semimetals
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Rapidly Rotating Atomic Gases
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Mapping topological order in coordinate space
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Quench-induced supercurrents in an annular Bose gas
- Experimental Measurement of the Berry Curvature from Anomalous Transport
- Observation of a warped helical spin-texture in BiSe from circular dichroism angle-resolved photoemission spectroscopy
- Direct observation of chiral currents and magnetic reflection in atomic flux lattices
- Dichroic f-sum rule and the orbital magnetization of crystals
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Probing topology by "heating": Quantized circular dichroism in ultracold atoms
- Atomic spin-orbit coupling synthesized with magnetic-field-gradient pulses
- Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
- Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
- Tracing the nonequilibrium topological state of Chern insulators
- Circular Dichroism and Radial Hall Effects in Topological Materials
- Identifying topological edge states in 2D optical lattices using light scattering
- Hard-Wall Confinement of a Fractional Quantum Hall Liquid
- Light-induced fractional quantum Hall phases in graphene
- High-precision multiband spectroscopy of ultracold fermions in a nonseparable optical lattice
- High-Order Multipole Radiation from Quantum Hall States in Dirac Materials
Cited by in corpus (22)
- Measuring quantized circular dichroism in ultracold topological matter
- Extracting the quantum metric tensor through periodic driving
- Experimental measurement of the quantum geometric tensor using coupled qubits in diamond
- Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
- The 6D quantum Hall effect and 3D topological pumps
- Detecting fractional Chern insulators through circular dichroism
- Quantization in chiral higher order topological insulators: circular dichroism and local Chern marker
- Probing localization and quantum geometry by spectroscopy
- The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
- Quench Dynamics and Hall Response of Interacting Chern Insulators
- Topological transport of mobile impurities
- Nested-sphere description of the N-level Chern number and the generalized Bloch hypersphere
- Optical control over bulk excitations in fractional quantum Hall systems
- Global and Local Topological Quantized Responses from Geometry, Light and Time
- Tensor monopoles and negative magnetoresistance effect in optical lattices
- Anisotropic Quantum Hall Droplets
- Chiral edge dynamics and quantum Hall physics in synthetic dimensions with an atomic erbium Bose-Einstein condensate
- A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
- Detecting chiral pairing and topological superfluidity using circular dichroism
- Relating the Hall conductivity to the many-body Chern number using Fermi's Golden rule and Kramers-Kronig relations
- Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
- Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography