9 papers
Internal Reliability of Coupled Kuramoto-Sakaguchi Phase Oscillators
Arkady Pikovsky, Franco Bagnoli, Stefano Iubini
The notion of internal reliability in dynamical networks describes whether replicas of a particular unit follow the dynamics of the reference unit. Reliability and anti-reliability…
Thermodynamics of photonic nonlinear Aharonov-Bohm cages
Stefano Iubini, Carlo Danieli
We investigate equilibrium and non-equilibrium thermodynamics of one-dimensional photonic diamond lattices with Kerr nonlinearity. The equilibrium phase diagram is obtained as a fu…
Mean-field theory of the DNLS equation at positive and negative absolute temperatures
Michele Giusfredi, Stefano Iubini, Antonio Politi +1
The Discrete Non Linear Schrödinger (DNLS) model, due to the existence of two conserved quantities, displays an equilibrium transition between a homogeneous phase at positive abso…
Dephasing-induced relaxation in tight-binding chains with linear and nonlinear defects
Debraj Das, Andrea Gambassi, Stefano Iubini +1
We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of stre…
Coherence properties of collective modes in ensembles of oscillators
A. Pikovsky, F. Bagnoli, S. Iubini
Synchronization transition in oscillatory networks manifests itself as the appearance of a periodic global mode. While perfect in the thermodynamic limit, this mode fluctuates for…
Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation
Martina Giachello, Stefano Iubini, Roberto Livi +1
We perform a detailed numerical study of the very peculiar thermodynamic properties of the localized high-energy phase of the Discrete Non-Linear Schrödinger Equation (DNLSE). A n…