The second one, the so called non-hermitian tight-binding model was given as an example of a quantum system having complex eigenenergies that appear in conjugate pairs. This model provides another example of a building block of a non-hermitian Carnot engine. References 1. Longhi, S. Optical ...
The first is a distance and direction-dependent amplification/deamplification factor, whereas the second encodes the dynamics of the underlying (A = 0) Hermitian tight-binding model. We thus have a simple intuitive picture for the susceptibility, without having to make recourse to other ...
Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation We consider the interaction between the Hermitian world, represented by a real delta-function potential -\\alpha\\delta(x) -\\alpha\\delta(x) , and the non... Jones,F H. - 《Physical Review D Particles & Fi...
In addition, the non-Hermitian terms can be added to photonic Haldane model [122], Dirac model [123], Aubry–André (AA) chains [124], Floquet temporal periodic systems [125, 126], and can be combined with topology [127–130]. Furthermore, gain and loss in photonics can also generate...
This phenomenon is first observed in a computational model and then theoretically explained, using an exactly solvable model, in terms of the Stokes phenomenon. In the latter case, the piecewise adiabatic following is shown to be a genuine critical behavior and the precise phase boundary in the ...
with\({g}_{a}(z)={t}_{a}^{+}z+{t}_{a}^{-}/z+V\)and\({g}_{b}(z)={t}_{b}^{+}z+{t}_{b}^{-}/z-V\),\({t}_{a/b}^{\pm }={t}_{1}\pm {\delta }_{a/b}\)being the forward/backward hopping of chainsaandb. This model can be also realized with a ...
Imaginary gauge field and non-Hermitian delocalization. The simplest example of a non-Hermi tian 1D tight-binding lattice with a dispersion relation satisfying the condition (1) is provided by the Hatano-Nelson model23. Originally introduced to study the motion of magnetic flux lines in ...
Subsequently, a seminal work43 demonstrated that a zigzag lattice with imaginary (non-Hermitian) next-nearest-neighbor coupling supports tunable light transport because the coupling is modu- lated by the effective Peierls phase; however, the transport is bidirectional so that the model lacks non-...