Direct observation of energy band attraction effect in non-Hermitian systems
arXiv:2004.14744 · doi:10.1103/PhysRevLett.125.137703
Abstract
The energy band attraction (EBA) caused by the non-orthogonal eigenvectors is a unique phenomenon in the non-Hermitian (NH) system. However, restricted by the required tight-binding approximation and meticulously engineered complex potentials, such effect has not been experimentally demonstrated. Here, an experimentally verifiable model is proposed based on the photonic counterpart of the all-dielectric Mie-resonator lattice in a parallel-plate transmission line. Through theoretical derivation, we directly connect the transmission spectra with eigenvalues and eigenvectors of the NH Hamiltonians. By precisely tuning the resonance loss of the Mie-resonators, the evolution of the EBA effect in two-level NH systems, from gapped bands, gapless bands to flat bands, is directly observed for the first time. Furthermore, such effect can be extended to a graphene-like two-dimensional NH system. Our works show a metamaterial approach towards NH topological photonics and offer a deeper understanding of band theory in open systems.
arXiv comment9 pages, 9 figures, including supplemental material
References in corpus (48)
- The electronic properties of graphene
- Topological Insulators
- Topological insulators and superconductors
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Topological Photonics
- Topological Photonics
- Making Sense of Non-Hermitian Hamiltonians
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Valley contrasting physics in graphene: magnetic moment and topological transport
- Edge states and topological invariants of non-Hermitian systems
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Band Theory for Non-Hermitian Hamiltonians
- Anomalous edge state in a non-Hermitian lattice
- Non-Bloch Band Theory of Non-Hermitian Systems
- Non-Hermitian Boundary Modes
- Spawning rings of exceptional points out of Dirac cones
- Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Selective enhancement of topologically induced interface states in a dielectric resonator chain
- Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
- Topological Transition in a Non-Hermitian Quantum Walk
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Level Attraction Due to Dissipative Magnon-Photon Coupling
- Dynamically encircling exceptional points: Exact evolution and polarization state conversion
- Photonic Topological Insulating Phase Induced Solely by Gain and Loss
- Higher-order topological corner states induced by gain and loss
- Topological invariance and global Berry phase in non-Hermitian systems
- Topological transition of Dirac points in a microwave experiment
- Non-Bloch band collapse and chiral Zener tunneling
- Abnormal anti-crossing effect in photon-magnon coupling
- Realization of Attractive Level Crossing via a Dissipative Mode
- Synchronized spin-photon coupling in a microwave cavity
- Tight-binding couplings in microwave artificial graphene
- Control of the magnon-photon level attraction in a planar cavity
- Control of the Coupling Strength and the Linewidth of a Cavity-Magnon Polariton
- Discrete solitons in PT-symmetric lattices
- Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation
- Experimental realisation of -symmetric flat bands
- Microscopic mechanism of level attraction
- Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
- Complete S-matrix in a microwave cavity at room temperature
- 2D Solitons in PT-symmetric photonic lattices