4 papers
Discrete-time quantum walks in synthetic dimensions
Piergiorgio Ferraro, Caio B. Naves, Jonas Larson
In this work we introduce discrete-time quantum walks in state space, more precisely on Fock-state lattices. Fock-state lattices provide a natural and clean setting for implementin…
Algebraic structure of Fock-state lattices
Piergiorgio Ferraro, Caio B. Naves, Jonas Larson
We analyze Fock-state lattices (FSLs) from an algebraic viewpoint. Starting from a Lie algebra, we associate a FSL constructed from the action of its generators: diagonal (Cartan)…
When level repulsion fails: non-normality and chaos in open quantum systems
Caio B. Naves, Thomas Klein Kvorning, Jonas Larson
For Hamiltonian systems, level statistics provide a faithful diagnostic of quantum chaos. By analogy, the statistics of the Lindbladian spectrum are often used in open quantum syst…
Liouville Fock state lattices and potential simulators
Caio B. Naves, Jonas Larson
We introduce Liouville Fock state lattices (LFSLs) as a framework for visualizing open quantum systems through matrix representations of the Lindblad master equation (LME). By vect…