4 papers
Probing quantum effects with classical stochastic analogs
Rémi Goerlich, Giovanni Manfredi, Paul-Antoine Hervieux +2
We propose a method to construct a classical analog of an open quantum system, namely a single quantum particle confined in a potential well and immersed in a thermal bath. The cla…
Optimal protocols and universal time-energy bound in Brownian thermodynamics
Yoseline Rosales-Cabara, Giovanni Manfredi, Gabriel Schnoering +3
We propose an optimization strategy to control the dynamics of a stochastic system transferred from one thermal equilibrium to another and apply it experimentally to a Brownian par…
A control variate method driven by diffusion approximation
Josselin Garnier, Laurent Mertz
In this paper we examine a control variate estimator for a quantity that can be expressed as the expectation of a functional of a random process, that is itself the solution of a d…
Penalization of non-smooth dynamical systems with noise : ergodicity and asymptotic formulae for threshold crossings probabilities
Mathieu Lauriere, Laurent Mertz
The purpose of this paper is to prove ergodicity and provide asymptotic formulae for probabilities of threshold crossing related to smooth approximations of three fundamental nonli…