Non-Hermitian Aharonov-Bohm Cage
arXiv:2005.01044
Abstract
Aharonov-Bohm (AB) cage has a spectrum fully constituted by the flat bands and has the capacity to confine arbitrary excitation. The confined excitation in coupled waveguides propagates without diffraction. Exploited the unidirectionality of the exceptional point (EP), we first propose the non-Hermitian AB cage in the photonic crystal with inversion symmetry or combined-inversion symmetry. Alternatively, the destructive interference of the synthetic magnetic flux incorporated with gain and loss at the EP is then shown to be able to induce the non-Hermitian AB cage. The spectrum of the non-Hermitian AB cage is entirely constituted by the coalesced flat bands. The light excitation is still confined regardless of the nonunitary dynamics caused by the non-Hermiticity, but the localization area may alter. The non-Hermitian AB caging can also be observed in the passive photonic crystals including coupled waveguides. These findings pave the way of light control and manipulation in the non-Hermitian integrated photonics.
8 pages, 4 figures
References in corpus (45)
- Photonic Floquet Topological Insulators
- Localization transitions in non-Hermitian quantum mechanics
- Robust optical delay lines via topological protection
- Topological Acoustics
- Light-induced gauge fields for ultracold atoms
- Topological energy transfer in an optomechanical system with exceptional points
- Lasing in topological edge states of a 1D lattice
- Topological Bands for Ultracold Atoms
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Observation of a localized flat-band state in a photonic Lieb lattice
- Selective enhancement of topologically induced interface states in a dielectric resonator chain
- Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
- Artificial flat band systems: from lattice models to experiments
- Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
- Aharonov-Bohm cages in two-dimensional structures
- Enhanced sensitivity operation of an optical gyroscope near an exceptional point
- Metrology with -symmetric cavities: Enhanced sensitivity near the -phase transition
- Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
- Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
- Bosonic Condensation and Disorder-Induced Localization in a Flat Band
- Quantum Noise Theory of Exceptional Point Sensors
- Robust light transport in non-Hermitian photonic lattices
- Experimental observation of Aharonov-Bohm cages in photonic lattices
- Flat Bands Under Correlated Perturbations
- How to escape Aharonov-Bohm cages ?
- Flat band states: disorder and nonlinearity
- Incident Direction Independent Wave Propagation and Unidirectional Lasing
- Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
- Preformed pairs in flat Bloch bands
- Defect states emerging from a non-Hermitian flat band of photonic zero modes
- A simple method to construct Flat Band lattices
- Landau-Zener Bloch oscillations with perturbed flat bands
- Flat bands in lattices with non-Hermitian coupling
- Parity-time symmetry in a flat band system
- Non-Hermiticity Induced Flat Band
- Experimental realisation of -symmetric flat bands
- Nonlinear dynamics of Aharonov-Bohm cages
- Coherent control of interacting particles using dynamical and Aharonov-Bohm phases
- Parity-time symmetric coupled asymmetric dimers
- Nonlinear symmetry breaking of Aharonov-Bohm cages
- Hermitian dynamics in a class of pseudo-Hermitian networks
- Flat bands and PT-symmetry in quasi-one-dimensional lattices
- Wave emission and absorption at spectral singularities
- Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
- Non-Hermitian interferometer: Unidirectional amplification without distortion