Linear localization of zero modes in weakly coupled non-Hermitian reservoirs
arXiv:1804.00579 · doi:10.1002/apxr.202300066
Abstract
Topological and symmetry-protected non-Hermitian zero modes have attracted considerable interest in the past few years. Here we reveal that they can exhibit an unusual behavior when transitioning between the extended and localized regimes: When weakly coupled to a non-Hermitian reservoir, such a zero mode displays a linearly decreasing amplitude as a function of space, which is not caused by an EP of a Hamiltonian, either of the entire system or the reservoir itself. Instead, we attribute it to the non-Bloch solution of a linear homogeneous recurrence relation, together with the underlying non-Hermitian particle-hole symmetry and the zeroness of its energy.
11 pages, 10 figures
References in corpus (16)
- Non-Abelian Anyons and Topological Quantum Computation
- Visualization of Branch Points in PT-Symmetric Waveguides
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Selective enhancement of topologically induced interface states in a dielectric resonator chain
- Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
- Topological Hybrid Silicon Microlasers
- Acoustic non-Hermitian skin effect from twisted winding topology
- Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
- Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
- Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
- Synthetic parity-time symmetry breaking in a single microcavity
- Symmetry-protected zero-mode laser with a tunable spatial profile
- Non-Hermitian lattices with a flat band and polynomial power increase
- Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra
- Symmetry-protected localized states at defects in non-Hermitian systems