10 papers
Charge-Conjugation Violation and Population Asymmetry in Bipartite Fermionic Lattices
Di Xiao, Xue-Ting Fang, Lushuai Cao +2
Charge conjugation violation (CCV) is a central concept in particle physics and appears also for quasiparticles in quantum many-body systems, which typically relies on an embedded…
Symmetry and integrability in the anyon-Hubbard model
Martin Bonkhoff, Grennon Gurney, Friethjof Theel +3
Recent cold atom experiments have realized one-dimensional anyons and enabled the tuning of 1D~statistics between bosons and fermions. Here, we analyze the symmetries, integrabilit…
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…
Mechanisms of localization in a finite harmonically confined optical superlattice
A. Katsaris, I. A. Englezos, C. Weitenberg +2
We investigate the impact of harmonic confinement in a finite optical superlattice and reveal the different mechanisms that can lead to the emergence of localized states. The optic…
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…
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…
Compression-induced crossovers for the ground-state of classical dipole lattices on a Möbius strip
Ansgar Siemens, Felipe Augusto Oliveira Silveira, Peter Schmelcher
We explore the ground state properties of a lattice of classical dipoles spanned on the surface of a Möbius strip. The dipole equilibrium configurations depend significantly on the…