The contact process is an emblematic model of a nonequilibrium system, containing a phase
transition between inactive and active dynamical regimes. In the epidemiological context …

Quantum computers and simulators can potentially outperform classical computers in finding
ground states of classical and quantum Hamiltonians. However, if this advantage can persist …

Continuous-time quantum Monte Carlo refers to a class of algorithms designed to sample
the thermal distribution of a quantum Hamiltonian through exact expansions of the …

Dynamical fluctuations or rare events associated with atypical trajectories in chaotic maps
due to specific initial conditions can crucially determine their fate, as the may lead to stability …

Confined active particles constitute simple, yet realistic, examples of systems that converge
into a nonequilibrium steady state. We investigate a run-and-tumble particle in one spatial …

We extend the translationally invariant quantum East model to an inhomogeneous chain
with East/West heterojunction structure. In analogy to the quantum diffusion of particles, we …

We study the non-equilibrium dynamics of the dissipative quantum East model via numerical
tensor networks. We use matrix product states to represent evolution under quantum-jump …

The contact process is an emblematic model of a non-equilibrium system, containing a
phase transition between inactive and active dynamical regimes. In the epidemiological …

Diffusion models (DMs) are a class of generative machine learning methods that sample a
target distribution by transforming samples of a trivial (often Gaussian) distribution using a …

When applying the finite-differences method to numerically solve the one-dimensional
diffusion equation, one must choose discretization steps Δx, Δt in space and time …