Kaleidoscope

The Husimi-Q distribution at different times allows for the investigation of phase space dynamics.

Phase profile evolution of a higher order natural orbital corresponding to an ab initio quantum dynamics simulation of a bosonic many-body system out of equilibrium.

Spatial phase distribution of a certain natural geminal, i.e. eigenvector of the reduced 2-body density operator, for a bosonic many-body system in a non-equilibrium state.

Two-body correlation function of a decaying grey matter-wave soliton.

Trilobite state: The electron probability density of a 35s Rydberg molecule.

The relaxation of a nonlinearly excited chain of particles in a lattice towards its equilibrium configuration gives rise to collective behavior in terms of oscillation patterns. The figure shows extracts from the time-evolution of the chain's velocity distribution.

The fluctuations of the one-body density evolution for five repulsive bosons in a lattice potential with ten wells, after a sudden change in the interaction strength (quench).

The fluctuations of the one-body density evolution (small time-scales) for four repulsive bosons in a lattice potential with three wells, after an abrupt change in the interaction strength (quench).

An electron wave flowing through an open, half-elliptical quantum billiard with four leads, in a strong magnetic field. Coming in through the leftmost lead, the electron forms an edge state which circulates around an obstacle in the middle.

Directed current: Electron waves injected in each port of an open quantum billiard are transmitted selectively to other ports by tuning a perpendicular magnetic field from zero (top) via intermediate (middle) to high strength (bottom row).

Energy spectrum of a soft-wall elliptic quantum billiard as a function of magnetic field strength (horizontal axis), plotted on top of the transmission function for the same system attached to left and right leads.

Probability density and current density streamlines of electrons in an open soft-wall quantum billiard forwardly collimated in zero magnetic field (top) and backscattered at finite field strength (bottom), persistently in increasing energy (left to right).

Local density of states for electron waves flowing through a four-terminal lattice of elliptic quantum dots (ingoing wave in the upper left lead), at different energies and applied magnetic field strengths.

Transmission as a function of energy (vertical axis) and magnetic field (horizontal axis) for electron waves flowing through a four-terminal lattice of elliptic quantum dots (see previous picture) from the upper left to the upper right lead.

Extract of the phase space portrait of two superimposed simultaneously oscillating lattices, with different lattice spacings.

A Quantum Billiard is a two-dimensional closed region where waves are confined. Here, the first hundred oscillation modes are shown for an oval quantum billiard with left and right stubs.

A Quantum Billiard is a two-dimensional closed region where waves are confined. Here, the first hundred oscillation modes are shown for an oval quantum billiard with left and right stubs.

In a Bose-Einstein condensate, millions of ultracold bosonic atoms cooperate to form a superfluid. Stirring this superfluid excites quantized vortices. The picture shows the simulated density profile of a condensate cloud with four such vortices.

Extract of the phase space portrait of an oscillating lattice.

Scattering function of oscillating potential barrier.

Attraction to periodic orbits in the driven lattice.

Floquet Mode in a phase modulated driven lattice.

Local invariants in an imperfect lattice.

Repulsive ions constrained to move on a toroidal helix can stabilize in many different configurations. Here eight such patterns are seen from above.

Trajectories resulting from the scattering of two charged particles confined on an inhomogeneous helix for various values of initial energy, as viewed in the relevant two-particle space.

Bounded trajectories resulting from the scattering of two charged particles confined on an inhomogeneous helix, as viewed in the relevant two-particle space, for a lower (upper) and a higher (lower) energy.

Poincaré surfaces of section for bounded trajectories resulting from the scattering of two charged particles confined on an inhomogeneous helix, for a lower (upper) and a higher (lower) energy.