129 citations · 374 across the 39 of their papers we have counts for
39 papers
Rigorous existence and location of quantum phase transitions in lattice Hamiltonian systems
Massimo Ostilli, Carlo Presilla
We extend the analysis of the class of quantum phase transitions (QPTs) that can be interpreted as condensations in state space, first introduced in [M. Ostilli and C. Presilla, J.…
Partitioning networks into clusters of synchronized nodes via the message-passing algorithm: an unbiased scalable approach
Massimo Ostilli
Partitioning large networks into stable clusters of synchronized nodes is a challenging task. Recent approaches based on spectral analysis can provide exact results on specific dyn…
Finite temperature quantum condensations in the space of states: General Proof
Massimo Ostilli, Carlo Presilla
We formalize and prove the extension to finite temperature of a class of quantum phase transitions, acting as condensations in the space of states, recently introduced and discusse…
Finite temperature quantum condensations in the space of states: a new perspective for quantum annealing
Massimo Ostilli, Carlo Presilla
In nature, everything occurs at finite temperature and quantum phase transitions (QPTs) cannot be an exception. Nevertheless, they are still mainly discussed and formulated at zero…
Spectrum of the tight-binding model on Cayley Trees and comparison with Bethe Lattices
M. Ostilli, Claudionor G. Bezerra, G. M. Viswanathan
There are few exactly solvable lattice models and even fewer solvable quantum lattice models. Here we address the problem of finding the spectrum of the tight-binding model (equiva…
Ground-state-energy universality of noninteracting fermionic systems
Douglas F. C. A. Silva, Massimo Ostilli, Carlo Presilla
When noninteracting fermions are confined in a -dimensional region of volume and subjected to a continuous (or piecewise continuous) potential which decays…