368 citations · 972 across the 25 of their papers we have counts for
25 papers
Quantum Parrondo Games in Low-Dimensional Hilbert Spaces
Andreas Mielke
We consider quantum variants of Parrondo games on low-dimensional Hilbert spaces. The two games which form the Parrondo game are implemented as quantum walks on a small cycle of le…
Multi player Parrondo games with rigid coupling
Sandro Breuer, Andreas Mielke
In the original Parrondo game, a single player combines two losing strategies to a winning strategy. In this paper we investigate the question what happens, if two or more players…
Localised pair formation in bosonic flat-band Hubbard models
Jacob Fronk, Andreas Mielke
Using a generalised version of Gershgorin's circle theorem, rigorous boundaries on the energies of the lowest states of a broad class of line graphs above a critical filling are de…
Flat-band ferromagnetism in twisted bilayer graphene
R. Pons, A. Mielke, T. Stauber
We discuss twisted bilayer graphene (TBG) based on a theorem of flat band ferromagnetism put forward by Mielke and Tasaki. According to this theorem, ferromagnetism occurs if the s…
Pair formation of hard core bosons in flat band systems
Andreas Mielke
Hard core bosons in a large class of one or two dimensional flat band systems have an upper critical density, below which the ground states can be described completely. At the crit…
Hard-core bosons in flat band systems above the critical density
Moritz Drescher, Andreas Mielke
We investigate the behaviour of hard-core bosons in one- and two-dimensional flat band systems, the chequerboard and the kagomé lattice and one-dimensional analogues thereof. The o…