Bogoliubov quasi-averages: spontaneous symmetry breaking and algebra of fluctuations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Theoretical and Mathematical Physics Année : 2018

Bogoliubov quasi-averages: spontaneous symmetry breaking and algebra of fluctuations

Résumé

We present arguments supporting the use of the Bogoliubov method of quasiaverages for quantum systems. First, we elucidate how it can be used to study phase transitions with spontaneous symmetry breaking (SSB). For this, we consider the example of Bose-Einstein condensation in continuous systems. Analysis of different types of generalized condensations shows that the only physically reliable quantities are those defined by Bogoliubov quasiaverages. In this connection, we also solve the Lieb-Seiringer-Yngvason problem. Second, using the scaled Bogoliubov method of quasiaverages and considering the example of a structural quantum phase transition, we examine a relation between SSB and critical quantum fluctuations. We show that the quasiaverages again provide a tool suitable for describing the algebra of critical quantum fluctuation operators in both the commutative and noncommutative cases.
Fichier principal
Vignette du fichier
WZ-TMPh-Zubarev.pdf (393.3 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01499949 , version 1 (01-04-2017)

Identifiants

Citer

Walter A Wreszinski, Valentin A Zagrebnov. Bogoliubov quasi-averages: spontaneous symmetry breaking and algebra of fluctuations. Theoretical and Mathematical Physics, 2018, 194 (2), pp.157-188. ⟨10.1134/S0040577918020010⟩. ⟨hal-01499949⟩
89 Consultations
106 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More