Block entanglement and fluctuations in finite-size correlated electron systems

Finite-size fluctuations in interacting particle systems.

Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet finite number of particles, where the final number of particles N(f) scales logarithmically with the system size N, N(f) approximately ln N. Statistical fluctuations, that become significant as the number of particle...

Finite-temperature Calculations of Correlated Electron Systems ?

We describe a quantum Monte Carlo approach to study nite-temperature properties of correlated fermion systems. The algorithm retains advantages of the standard auxiliary-eld formalism, which is widely applied in areas spanning condensed-matter, high-energy, and nuclear physics, while eliminating the sign decay that is the signature of the fermion sign problem. It allows simulations at larger sy...

Dynamics of Fluctuations in Driven Diffusive Systems: Finite-size Effects

Correlated disorder in the Kuramoto model: Effects on phase coherence, finite-size scaling, and dynamic fluctuations.

We consider a mean-field model of coupled phase oscillators with quenched disorder in the natural frequencies and coupling strengths. A fraction p of oscillators are positively coupled, attracting all others, while the remaining fraction 1-p are negatively coupled, repelling all others. The frequencies and couplings are deterministically chosen in a manner which correlates them, thereby correla...

Comment on "Universal Fluctuations in Correlated Systems".

1 In [1], it is suggested that the probability distribution functions (PDF's) of fluctuating observables for critical systems in different universality classes exhibit a same form. This Comment concerns the PDF's for equilibrium systems. In [2], it is pointed out that the standard scaling form is a sufficient condition for the data collapse. The suggestion in [1] seems contradicting the idea of...