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In this book we explore networks of many-body quantum systems, seeking to describe the new quantum and topological phases that arise from the interaction of individual sites. Tested networks are based on the semi-classical Lipkin-Meshkov-Glick model, and the couplings between different sites of the network are described with either one or two coupling constants. The effect of introducing a second coupling was studied on the example of a one-dimensional chain - an extension of the Su-Schrieffer-Heeger model to the many-body systems -, where the interplay between topological and quantum phases was the main question.

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Sorokin, Aleksandr V.
Aleksandr V. Sorokin obtained the doctoral degree from the Technical University of Berlin. His main fields of scientific interest and expertise are quantum critical systems and quantum chemistry of solids.

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