Speaker
Prof.
Sergio Ciliberto
(ENS-Lyon)
Description
When a control parameter of a system is suddenly changed,
the accessible phase space changes too and the system needs
its characteristic relaxation time to reach the final
equilibrium distribution. An important and relevant question
is whether it is possible to travel from an equilibrium
state to another in an arbitrary time, much shorter than
the natural relaxation time. Such strategies are reminiscent
of those worked out in the recent field of Shortcut to
Adiabaticity, that aim at developing protocols, both in
quantum and in classical regimes, allowing the system to
move as fast as possible from one equilibrium position to a
new one, provided that there exist an adiabatic
transformation relating the two. Proof of principle
experiments have been carried out for isolated systems.
Instead in open system the reduction of the relaxation
time, which is frequently desired and necessary, is often
obtained by complex feedback processes.
In this talk, we present a protocol,named Engineered Swift
Equilibration (ESE), that shortcuts time-consuming
relaxations. We tested experimentally this protocol on a
Brownian particle trapped in an optical potential first and
then on an AFM cantilever. We show that applying a specific
driving, one can reach equilibrium in an arbitrary short
time. We also estimate the energetic cost to get such a
time reduction.
Beyond its fundamental interest, the ESE method paves the
way for applications in micro and nano devices, in high
speed AFM, or in monitoring mesoscopic chemical or
biological process.
References:
(1) Engineered Swift Equilibration, Ignacio A Martinez;
Artyom Petrosyan; David Gully-Odelin; Emmanuel Trizac;
Sergio Ciliberto, to be published in Nature Physics
(2) Arbitrary fast modulation of an atomic force microscope,
Anne Le Cunuder; Ignacio A Martinez; Artyom Petrosyan; David
Gully-Odelin; Emmanuel Trizac; Sergio Ciliberto. Submitted
to Applied Letters.
Primary author
Prof.
Sergio Ciliberto
(ENS-Lyon)