6 papers · 1 filter
Recurrence analysis of quantum many-body dynamics
Tomasz SzoÅdra, 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 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…
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…
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…
Isospectrally Patterned Lattices
Peter Schmelcher
We introduce and explore patterned lattices consisting of coupled isospectral cells that vary across the lattice. The isospectrality of the cells is encapsulated in the phase that…