Invisibility in non-Hermitian tight-binding lattices

Abstract

Reflectionless defects in Hermitian tight-binding lattices, synthesized by the intertwining operator technique of supersymmetric quantum mechanics, are generally not invisible and time-of-flight measurements could reveal the existence of the defects. Here it is shown that, in a certain class of non-Hermitian tight-binding lattices with complex hopping amplitudes, defects in the lattice can appear fully invisible to an outside observer. The synthesized non-Hermitian lattices with invisible defects possess a real-valued energy spectrum, however they lack of parity-time (PT) symmetry, which does not play any role in the present work.

to appear in Phys. Rev. A

References in corpus (7)

• Making Sense of Non-Hermitian Hamiltonians
• Topological Transition in a Non-Hermitian Quantum Walk
• Cloaking of Matter Waves
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• Physics counterpart of the PT non-hermitian tight-binding chain
• Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties
• Electron and Spin Transport in the Presence of Complex Absorbing Potential

Cited by in corpus (64)

• PT Metamaterials via Complex-Coordinate Transformation Optics
• Non-hermitian quantum thermodynamics
• Flat bands in lattices with non-Hermitian coupling
• Bound states in the continuum in PT-symmetric optical lattices
• Supersymmetric microring laser arrays
• Bound states, scattering states and resonant states in PT-symmetric open quantum systems
• Half-spectral unidirectional invisibility in non-Hermitian periodic optical structures
• Observation of supersymmetric scattering in photonic lattices
• Non-Hermitian bidirectional robust transport
• Unidirectional reflectionlessness and invisibility in the TE and TM modes of a PT-symmetric slab system
• Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry
• Optical lattices with exceptional points in the continuum
• Convective and absolute PT symmetry breaking in tight-binding lattices
• Reciprocal and unidirectional scattering of parity-time symmetric structures
• Supersymmetric transparent optical intersections
• Non-Hermitian tight-binding network engineering
• Non-Hermitian scattering on a tight-binding lattice
• Optical Lattices with Higher-order Exceptional Points by Non-Hermitian Coupling
• Invisible defects in complex crystals
• Self-sustained emission in semi-infinite non-Hermitian systems at the exceptional point
• Hermitian dynamics in a class of pseudo-Hermitian networks
• A physical interpretation for the non-Hermitian Hamiltonian
• Bloch oscillations in non-Hermitian lattices with trajectories in complex plane
• Exceptional points and Bloch oscillations in non-Hermitian lattices with unidirectional hopping
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Scaling behavior and phase diagram of a PT-symmetric non-Hermitian Bose-Hubbard system
• Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping rates
• Tunable waveguide lattices with non-uniform parity-symmetric tunneling
• Unidirectional Invisibility and PT-Symmetry with Graphene
• Supercharge optical arrays
• Supersymmetric Bragg gratings
• $\mathcal{P}\mathcal{T}$-Symmetric Coherent Perfect Absorber with Graphene
• Long-range entangled zero-mode state in a non-Hermitian lattice
• An introduction to arrays of coupled waveguides
• Repeatability of measurements: Equivalence of hermitian and non-hermitian observables
• PT-symmetric optical superlattices
• Reflectionless and invisible potentials in photonic lattices
• Broadband Coherent Perfect Absorber with PT-Symmetric 2D-Materials
• Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system
• Parity-time symmetry under magnetic flux
• Quantum decay and amplification in a non-Hermitian unstable continuum
• Transmission phase lapse in the non-Hermitian Aharonov-Bohm interferometer near the spectral singularity
• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• High Efficiency Topological Pumping with Discrete Supersymmetry Transformations
• Non-Hermitian invisibility in tight-binding lattices
• Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices
• Supersymmetry-enhanced Stark-Chirped Rapid-Adiabatic-Passage in multimode optical waveguides
• Broadband and Wide-Angle Invisibility with PT-Symmetric 2D-Weyl Semimetal
• Time reversal of a discrete system coupled to a continuum based on non-Hermitian flip
• Adiabatic Series Expansion and Higher-Order Semiclassical Approximations in Scattering Theory
• Theory for the spectral splitting exponent of exceptional points
• An attractor dynamics in a non-Hermitian two-level system
• Invisible surface defects in a tight-binding lattice
• Semi-localization transition driven by a single asymmetrical tunneling
• Isospectral and square root Cholesky photonic lattices
• Disorder effects in tunable waveguide arrays with parity-symmetric tunneling
• Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment
• Non-Hermitian interaction of a discrete state with a continuum
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Exploring Metamaterial Lasers through Non-Hermitian Scattering Formalism
• Exceptional spectrum and dynamic magnetization
• Pursuing complex optical energy through Exceptional Points of Degeneracy (EPDs)
• All-optical Realization of Quantum Ratchets
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism