Transport and spectral features in non-Hermitian open systems
arXiv:2007.08825 · doi:10.1103/PhysRevResearch.3.013208
Abstract
We study the transport and spectral properties of a non-Hermitian one-dimensional disordered lattice, the diagonal matrix elements of which are random complex variables taking both positive (loss) and negative (gain) imaginary values: Their distribution is either the usual rectangular one or a binary pair-correlated one possessing, in its Hermitian version, delocalized states, and unusual transport properties. Contrary to the Hermitian case, all states in our non-Hermitian system are localized. In addition, the eigenvalue spectrum, for the binary pair-correlated case, exhibits an unexpected intricate fractallike structure on the complex plane and with increasing non-Hermitian disorder, the eigenvalues tend to coalesce in particular small areas of the complex plane, a feature termed "eigenvalue condensation". Despite the strong Anderson localization of all eigenstates, the system appears to exhibit transport not by diffusion but by a new mechanism through sudden jumps between states located even at distant sites. This seems to be a general feature of open non-Hermitian random systems. The relation of our findings to recent experimental results is also discussed.
arXiv comment10 pages, 10 figures
References in corpus (25)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Complex Extension of Quantum Mechanics
- PT-Symmetric Quantum Mechanics
- Nonlinear waves in -symmetric systems
- Loss-induced suppression and revival of lasing
- Anderson localization and nonlinearity in one dimensional disordered photonic lattices
- PT-symmetry breaking and laser-absorber modes in optical scattering systems
- Exceptional Points of Non-hermitian Operators
- Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
- Non-Hermitian Delocalization and Eigenfunctions
- Observation of an exceptional point in a chaotic optical microcavity
- Experimental evidence of delocalized states in random dimer superlattices
- Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
- Non-Hermitean Localization and De-Localization
- Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
- Non-Hermitian disorder in two-dimensional optical lattices
- Anderson transition in three-dimensional systems with non-Hermitian disorder
- Non-Hermitian Localization in Biological Networks
- Breaking of PT-symmetry in bounded and unbounded scattering systems
- Families of stationary modes in complex potentials
- Non-Hermitian spectra and Anderson localization
- Non-Hermitian impurities in Dirac systems
- Quantum jumps on Anderson attractors
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- Dynamical evolution in a one-dimensional incommensurate lattice with symmetry
- Compatibility of transport effects in non-Hermitian nonreciprocal systems
- Erratic non-Hermitian skin localization
- Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices
- Anderson localization in dissipative lattices
- Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
- Universal non-Hermitian transport in disordered systems
- Anderson localization versus hopping asymmetry in a disordered lattice
- Multiresonant metasurfaces for arbitrarily-broadband pulse chirping and dispersion compensation
- Unitary Scattering Protected by Pseudo-Hermiticity
- Non-Hermitian control of localization in mosaic photonic lattices
- Transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations
- Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
- Lifshitz tail states in non-Hermitian disordered photonic lattices
- Higher-order gap ratios of singular values in open quantum systems
- Phase transitions in non-Hermitian superlattices
- Non-Hermitian off-diagonal disordered optical lattices
- Defect-driven incoherent skin localization
- Unifying Anderson transitions and topological amplification in non-Hermitian chains
- Modal complexity as a metric for Anderson localization
- Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
- Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states