44 citations · 62 across the 7 of their papers we have counts for
7 papers
Stochastic Processes in Mesoscale Physics and the Early Universe
Ashley Wilkins
This thesis is dedicated to the study of stochastic processes; non-deterministic physical phenomena that can be well described by classical physics. The stochastic processes we are…
Spectators no more! How even unimportant fields can ruin your Primordial Black Hole model
Ashley Wilkins, Archie Cable
In this work we terminate inflation during a phase of Constant Roll by means of a waterfall field coupled to the inflaton and a spectator field. The presence of a spectator field m…
Computing First-Passage Times with the Functional Renormalisation Group
Gerasimos Rigopoulos, Ashley Wilkins
We use Functional Renormalisation Group (FRG) techniques to analyse the behaviour of a spectator field, , during inflation that obeys an overdamped Langevin equation. We briefly…
Inflation is always semi-classical: Diffusion domination overproduces Primordial Black Holes
Gerasimos Rigopoulos, Ashley Wilkins
We use the Hamilton-Jacobi (H-J) formulation of stochastic inflation to describe the evolution of the inflaton during a period of Ultra-Slow Roll (USR), taking into account the fie…
Coarse-graining in time with the Functional Renormalisation Group: Relaxation in Brownian Motion
Ashley Wilkins, Gerasimos Rigopoulos, Enrico Masoero
We apply the functional Renormalisation Group (fRG) to study relaxation in a stochastic process governed by an overdamped Langevin equation with one degree of freedom, exploiting t…
Functional Renormalisation Group for Brownian Motion I: The Effective Equations of Motion
Ashley Wilkins, Gerasimos Rigopoulos, Enrico Masoero
We use the functional Renormalisation Group (fRG) to describe the in and out of equilibrium dynamics of stochastic processes, governed by an overdamped Langevin equation. Exploitin…
Quantum estimation via parametric amplification in circuit QED arrays
Ashley Wilkins, Carlos Sabín
We propose a scheme for quantum estimation by means of parametric amplification in circuit Quantum Electrodynamics. The modulation of a SQUID interrupting a superconducting wavegui…