Fractional Quantum Hall States of Rydberg Polaritons
arXiv:1411.6624 · doi:10.1103/PhysRevA.91.033838
Abstract
We propose a scheme for realizing fractional quantum Hall states of light. In our scheme, photons of two polarizations are coupled to different atomic Rydberg states to form two flavors of Rydberg polaritons that behave as an effective spin. An array of optical cavity modes overlapping with the atomic cloud enables the realization of an effective spin-1/2 lattice. We show that the dipolar interaction between such polaritons, inherited from the Rydberg states, can be exploited to create a flat, topological band for a single spin-flip excitation. At half filling, this gives rise to a photonic (or polaritonic) fractional Chern insulator -- a lattice-based, fractional quantum Hall state of light.
5 pages, 2 figures, and Supplemental Material
References in corpus (20)
- Quantum fluids of light
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- A Quantum Gate between a Flying Optical Photon and a Single Trapped Atom
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Single Photon Transistor Mediated by Inter-State Rydberg Interaction
- Storage and control of optical photons using Rydberg polaritons
- Photon storage in Lambda-type optically dense atomic media. I. Cavity model
- Long-range interactions and entanglement of slow single-photon pulses
- Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
- Topological flat band models with arbitrary Chern numbers
- Fractional Quantum Hall State in Coupled Cavities
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Observation and measurement of "giant" dispersive optical non-linearities in an ensemble of cold Rydberg atoms
- Dissipative Many-body Quantum Optics in Rydberg Media
- Induced self-stabilization in fractional quantum Hall states of light
- Superradiant Solid in Cavity QED Coupled to a Lattice of Rydberg Gas
- Topological growing of Laughlin states in synthetic gauge fields
- Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields
- Collectively Enhanced Interactions in Solid-state Spin Qubits
- Topological matter with collective encoding and Rydberg blockade
Cited by in corpus (11)
- Observation of a localized flat-band state in a photonic Lieb lattice
- Topological multi-mode waveguide QED
- Continuous Preparation of a Fractional Chern Insulator
- Quantum vortices of strongly interacting photons
- Many-Body Open Quantum Systems
- Efimov States of Strongly Interacting Photons
- Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
- Few-body quantum physics with strongly interacting Rydberg polaritons
- Cavity polaritons with Rydberg blockade and long-range interactions
- Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
- Resonant enhancement of three-body loss between strongly interacting photons