Bykov Vladimir

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  PhD Student

My research interests lie in quantum field theory, the holographic correspondence, black hole physics, and quantum information. In particular, I am interested in applying methods of conformal field theory and holography to the study of nonequilibrium dynamics in quantum systems, thermalization, quantum chaos, entanglement entropy, and its evolution.

In the context of holography, I have studied local operator quenches in AdS spacetime and BTZ black hole backgrounds, including models with confining deformations. Analytical expressions for nonequilibrium correlation functions were obtained, and signatures of quantum chaos in their time evolution were investigated using statistical methods from random matrix theory.

Another direction of my research concerns geometric and topological methods in theoretical physics. In particular, a gauge-theoretic formulation of the Schrödinger equation was developed, providing a framework for studying topological deformations, boundary degrees of freedom and charge algebras, as well as an analogue of the memory effect in the nonlinear theory.

Selected publications: