Stability of Fractional Quantum Hall States in Disordered Photonic Systems
arXiv:1706.02385 · doi:10.1088/1367-2630/aa89a5
Abstract
The possibility of realizing fractional quantum Hall liquids in photonic systems has attracted a great deal of interest of late. Unlike electronic systems, interactions in photonic systems must be engineered from non-linear elements and are thus subject to positional disorder. The stability of the topological liquid relies on repulsive interactions. In this paper we investigate the stability of fractional quantum Hall liquids to impurities which host attractive interactions. We find that for sufficiently strong attractive interactions these impurities can destroy the topological liquid. However, we find that the liquid is quite robust to these defects, a fact which bodes well for the realization of topological quantum Hall liquids in photonic systems.
arXiv comment11 pages, 5 figures
References in corpus (37)
- Topological Insulators
- Non-Abelian Anyons and Topological Quantum Computation
- Topological Photonics
- Photonic Floquet Topological Insulators
- Quantum nature of a strongly-coupled single quantum dot-cavity system
- Imaging topological edge states in silicon photonics
- Robust optical delay lines via topological protection
- Optical interface created by laser-cooled atoms trapped in the evanescent field surrounding an optical nanofiber
- Quantum phase transitions of light
- Observation of Strong Coupling between One Atom and a Monolithic Microresonator
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Exciton-polariton condensates
- Keldysh Field Theory for Driven Open Quantum Systems
- Nanophotonic quantum phase switch with a single atom
- Atom-Light Interactions in Photonic Crystals
- Photon-Photon Interactions via Rydberg Blockade
- Digital quantum simulation of fermionic models with a superconducting circuit
- Non-equilibrium quantum condensation in an incoherently pumped dissipative system
- Fractional Quantum Hall Effect in Optical Lattices
- Cooperative non-equilibrium phase transition in a dilute Rydberg ensemble
- Fractional quantum Hall states of photons in an array of dissipative coupled cavities
- Fractional Quantum Hall State in Coupled Cavities
- Full counting statistics and phase diagram of a dissipative Rydberg gas
- Observation of a Dissipation-Induced Classical to Quantum Transition
- Emergent equilibrium in many-body optical bistability
- Non-equilibrium dynamics of coupled qubit-cavity arrays
- Induced self-stabilization in fractional quantum Hall states of light
- Non-equilibrium Fractional Quantum Hall state of light
- A Characterization of Topological Insulators: Chern Numbers for a Ground State Multiplet
- Disorder driven collapse of the mobility gap and transition to an insulator in fractional quantum Hall effect
- Engineering topological materials in microwave cavity arrays
- Engineering three-body interaction and Pfaffian states in circuit QED systems
- Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness
- Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
- Quantum Hall wave functions on the torus
- 3- and 4-body Interactions from 2-body interactions in Spin Models: A Route to Abelian and Non-Abelian Fractional Chern Insulators
- Entanglement Entropy of Random Fractional Quantum Hall Systems