4 papers
On the complex behaviour of the density in composite quantum systems
Filiberto Ares, José G. Esteve, Fernando Falceto +1
In this paper, we study how the probability of presence of a particle is distributed between the two parts of a composite fermionic system. We uncover that the difference of probab…
Sublogarithmic behaviour of the entanglement entropy in fermionic chains
Filiberto Ares, José G. Esteve, Fernando Falceto +1
In this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the Rényi entanglement entropy for the…
Phase transition in the assignment problem for random matrices
J. G. Esteve, F. Falceto
We report an analytic and numerical study of a phase transition in a P problem (the assignment problem) that separates two phases whose representatives are the simple matching prob…
Exact two particle spectrum of the Heisenberg-Peierls chain
Julio Abad, J. G. Esteve
The exact solution for the two particle spectrum of the Heisenberg-Peierls one dimensional spin chain is given by working in the fermionic representation. The resulting equations f…