Exploring topological dynamics in a classical stochastic random walk.

Exploring topological dynamics in a classical stochastic random walk.
Exploring the relationship of topological insulators and superconductors and the field of nonlinear dynamics.
Computing the full-counting statistics of transport described by Markovian master equations with an arbitrary time dependence
Interplay of transport, shot noise, and topology in driven QD arrays.
Proposal for deterministic generation and long-term stabilization of entanglement between two electronic spin qubits confined in spatially separated quantum dots.
Interplay of instability and topology in driven bosonic systems.
Novel transport blockade mechanism in quantum dot arrays and conducting molecules based on an interplay of Coulomb repulsion and the formation of edge states.
Degenerate parametric oscillation, one of the most elusive models in the field of open system dynamics, can be implemented in modern optomechanical setups.
We consider different configurations of ac driven quantum dots coupled to superconductor leads where Majorana fermions can exist as collective quasiparticles.
Floquet Majorana fermions appear as steady states at the boundary of time-periodic topological phases of matter.