Title :

From point processes to quantum optics and back

Author(s) :

Bardenet, Remi [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Feller, Alexandre [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Bouttier, Jérémie [Auteur]
Institut de Physique Théorique - UMR CNRS 3681 [IPHT]
Degiovanni, Pascal [Auteur]
Laboratoire de Physique de l'ENS Lyon [Phys-ENS]
Hardy, Adrien [Auteur]
Rançon, Adam [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Roussel, Benjamin [Auteur]
Aalto University
Schehr, Grégory [Auteur]
Laboratoire de Physique Théorique et Hautes Energies [LPTHE]
Westbrook, Christoph I. [Auteur]
Laboratoire Charles Fabry / Gaz Quantiques

HAL domain(s) :

Physique [physics]/Physique mathématique [math-ph]
Physique [physics]
Physique [physics]/Physique Quantique [quant-ph]

English abstract : [en]

Some fifty years ago, in her seminal PhD thesis, Odile Macchi introduced permanental and determinantal point processes. Her initial motivation was to provide models for the set of detection times in fundamental bosonic or ...
Show more >Some fifty years ago, in her seminal PhD thesis, Odile Macchi introduced permanental and determinantal point processes. Her initial motivation was to provide models for the set of detection times in fundamental bosonic or fermionic optical experiments, respectively. After two rather quiet decades, these point processes have quickly become standard examples of point processes with nontrivial, yet tractable, correlation structures. In particular, determinantal point processes have been since the 1990s a technical workhorse in random matrix theory and combinatorics, and a standard model for repulsive point patterns in machine learning and spatial statistics since the 2010s. Meanwhile, our ability to experimentally probe the correlations between detection events in bosonic and fermionic optics has progressed tremendously. In Part I of this survey, we provide a modern introduction to the concepts in Macchi's thesis and their physical motivation, under the combined eye of mathematicians, physicists, and signal processers. Our objective is to provide a shared basis of knowledge for later cross-disciplinary work on point processes in quantum optics, and reconnect with the physical roots of permanental and determinantal point processes.Show less >

Language :

Anglais

ANR Project :

Apprentissage bayésien pour les modèles coûteux, avec applications à la biologie cellulaire
Optique quantique électronique : effets à N corps à l'échelle de quelques particules
Community of mathematics and fundamental computer science in Lyon
Le radar électronique
ULNE
Cosmologie et Simulation Quantique
Quantification d'intrication multipartite dans des systèmes atomiques
Matrices aléatoires et fermions piégés
Dimères : de la combinatoire à la mécanique quantique
Combinatoire enumerative en interaction avec l'algebre, la theorie des nombres et la physique
Physics: Atoms, Light, Matter

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL