27 citations · 73 across the 12 of their papers we have counts for
5 papers · 1 filter
Continuum Model of Isospectrally Patterned Lattices
Fotis K. Diakonos, P. Schmelcher
Isospectrally patterned lattices (IPL) have recently been shown to exhibit a rich band structure comprising both regimes of localized as well as extended states. The localized stat…
-Continuum limit of bipartite lattices -- The SSH model
Fotios K. Diakonos, P. Schmelcher
We present a continuous non-local model that faithfully replicates the rich topological and spectral features of the Su-Schrieffer-Heeger (SSH) model. Remarkably, our model shares…
Open and closed spin chains as multiprocessor wires: optimal engineering and reachability
N. E. Palaiodimopoulos, I. Brouzos, N. Georgoulea +2
We consider the perfect transfer of a state between arbitrary nodes of one-dimensional spin-1/2 chain with optimally engineered couplings. Motivated by the fact that such a system…
Generalized continuity equations from two-field Schrödinger Lagrangians
Aris G. B. Spourdalakis, George Pappas, Christian V. Morfonios +3
A variational scheme for the derivation of generalized, symmetry-induced continuity equations for Hermitian and non-Hermitian quantum mechanical systems is developed. We introduce…
Non-local Lagrangians: a variational approach to non-local conservation laws for wave mechanics
A. G. B. Spourdalakis, G. Pappas, P. A. Kalozoumis +2
We introduce a class of non-local Lagrangians which allow for the variational derivation of non-local conser- vation laws in a self-consistent manner. The formalism developed here…