5 papers · 1 filter
Recurrence analysis of quantum many-body dynamics
Tomasz Szołdra, Matheus S. Palmero, Peter Schmelcher
Observables of out-of-equilibrium quantum many-body systems display complex temporal behavior that encodes the underlying physical mechanisms but typically resists straightforward…
The helical quantum two-body problem and its wave packet dynamics
Peter Schmelcher
We explore the helical quantum two-body problem i.e. two repulsively Coulomb interacting particles confined to move along a helix. The effective potential possesses a tunable numbe…
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…
Computational Study of the Spectral Behaviour of Different Isospectrally Patterned Lattices
Peter Schmelcher
We perform a computational spectral analysis of different isospectrally patterned lattices (IPL). Having been introduced very recently, the lattice Hamiltonian of IPL consist of co…