Institute of Physics
Topic
Geometry of Interactions Reviewed by Tensor Networks
PhD. program
Theoretical and Mathematical Physics
Year of admission
2025
Name of the supervisor
Mgr. Andrej Gendiar, PhD.
Contact:
Receiving school
Faculty of Mathematics, Physics and Informatics
Annotation
Tensor Network represents a modern mathematical tool that can accurately describe quantum states. We focus on the description of strongly correlated spin (magnetic) systems. A quantum tensor-product state represents the tensor network. It carries physical degrees of freedom which are interconnected via auxiliary (non-physical) degrees of freedom controlling correlations and quantum entanglement. During the PhD studies, we will analyze non-trivial topological phases by the quantum entanglement entropy, concurrence, negativity, and standard observables. Since these spin systems are not exactly solvable, we will develop novel numerical procedures using any preferable programming language (e.g., Python, Julia, C++, etc.) The goal is to propose alternative methods of tensor networks originating in renormalization-group techniques. We also intend to analyze hyperbolic curved lattices to revisit quantum gravity from a different viewpoint.