Bogoliubov's Vision and Modern Theoretical Physics

TL;DR

This paper surveys N. N. Bogoliubov's foundational ideas in quantum statistical physics, emphasizing the method of quasiaverages and their role in understanding complex many-particle systems and phenomena like superfluidity and superconductivity.

Contribution

It provides a comprehensive overview of Bogoliubov's conceptual framework and its modern applications in quantum field theory and condensed matter physics.

Findings

Development of the quasiaverage method for quantum systems

Analysis of broken symmetry and emergence in many-particle systems

Discussion of current research trends in related fields

Abstract

A brief survey of the author's works on the fundamental conceptual ideas of quantum statistical physics developed by N. N. Bogoliubov and his school was given. The development and applications of the method of quasiaverages to quantum statistical physics and condensed matter physics were analyzed. The relationship with the concepts of broken symmetry, quantum protectorate and emergence was examined, and the progress to date towards unified understanding of complex many-particle systems was summarized. Current trends for extending and using these ideas in quantum field theory and condensed matter physics were discussed, including microscopic theory of superfluidity and superconductivity, quantum theory of magnetism of complex materials, Bose-Einstein condensation, chirality of molecules, etc.