We show theoretically that the dynamics of a driven quantum harmonic oscillator subject to nondissipative noise is formally equivalent single-particle propagating through an experimentally feasible dynamically disordered photonic network. Using this correspondence, we find noise-assisted energy transport occurs in network and if Markovian or delta correlated, can obtain analytical solution for ...

We investigate the localization and topological transitions in a one-dimensional (interacting) non-Hermitian quasiperiodic lattice, which is described by generalized Aubry-Andr\'e-Harper model with irrational modulations off-diagonal hopping on-site potential non-Hermiticities from nonreciprocal complex phase. For noninteracting cases, we reveal that (the phase) can enlarge delocalization (loca...

Initially, we set out to construct non-uniform ‘arithmetic’ lattices in Kac-Moody groups of rank 2 over finite fields, as constructed by Tits ([Ti1], [Ti2]) using the BruhatTits tree of a Tits system for such groups. This attempt succeeded, and in fact, the construction we used can be applied to higher rank Kac-Moody groups over sufficiently large finite fields, and their buildings (Theorem 1.7...

Band theory for partially coherent light is introduced by using the formalism of second-order classical coherence under paraxial approximation. It demonstrated that cross-spectral density function, describing correlations between pairs points in field, can have bands and gaps form a correlation band structure. The propagation beam non-Hermitian periodic structures considered to elucidate interp...