Shortcut To Adiabaticity : Theory and Experiments – STATE
This project aims at studying, both experimentally and theoretically, if and how a stochastic system can be driven from an initial state to another one in a time which is several orders of magnitude shorter than the natural relaxation times. The recently developed idea subsumed under the terminology of "Shortcut To Adiabaticity" has demonstrated that such a fast relaxation can be reached in isolated classical and quantum systems, using specifically designed driving protocols. Examples in quantum transport and quantum state preparation have been worked out. Yet, these questions are essentially untouched when it comes to the control of systems that are thermostated in some sense, such as colloidal particles and micro devices. This will provide the main thrust of our investigation, through the analysis of four strongly connected problems:
1. The solutions of Fokker-Planck equations which allow the definition of protocols needed to speed up specific equilibration processes, such as for example the expansion of either a gas or an ensemble of colloidal particles.
2. The application of theoretically defined protocols in experiments on the relaxation between equilibrium states of confined Brownian particles, and micro-oscillators, with emphasis on atomic microscopy techniques.
3. The limiting factors for applications, robustness and energetics issues.
4.The fast relaxation between non-equilibrium steady states (NESS).
These four problems present questions of particular current interest, not only from a fundamental perspective, but also for the large number of potential applications that they might have in statistical physics, in chemistry, in biology and in the design of small devices where the role of fluctuations cannot be neglected. This line of research pertains to robustness and control through the manipulation of a system's states with external forces. Yet, our proposition differs from previous attempts in that it is of "feedforward" type, as opposed to "feedback" oriented, and it is devised to account for noise sources, be they of thermal or non-thermal origin. This is a distinctive and original feature that unifies the various lines of research explored in the project. On a broader perspective, our grant application pertains to an emerging field of research, where each task addresses a key aspect for a broader picture to emerge (phenomenology within an overdamped framework, relevant for a certain class of systems such as colloidal suspensions; new effects arising for an underdamped dynamics, such as that of an AFM cantilever; going from single to many degrees of freedom with paramagnetic colloids).
In this context we have already performed successful proof-of-principle experiments, which give credit to this proposal. One of them led to patentable protocols for scanning force microscopy which demonstrate a real potential follow-up for applications.
Monsieur Ludovic Bellon (LABORATOIRE DE PHYSIQUE DE L'ENS DE LYON)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
LPTMS Laboratoire de physique théorique et modèles statistiques
LCAR LABORATOIRE COLLISIONS, AGREGATS, REACTIVITE
LPENSL-CNRS LABORATOIRE DE PHYSIQUE DE L'ENS DE LYON
Help of the ANR 388,303 euros
Beginning and duration of the scientific project: September 2018 - 48 Months