8 papers
Cohomological beta function
Oleksandr Gamayun, Maxim Gritskov, Andrey Losev
We propose a cohomological approach to computing the conformal anomaly. Using the example of current-current deformations of two-dimensional conformal field theories, we reproduce…
Dynamical frustration in spacetime metamaterials enables cascading logic and synchronization
Rupesh Mahore, Oleksandr Gamayun, Guillaume Noetinger +3
Spacetime metamaterials are engineered media whose constitutive parameters such as permittivity, permeability, stiffness, or mass density are modulated simultaneously in both space…
The exact dynamical structure factor of one-dimensional hard rods and its universal random matrix behavior
Oleksandr Gamayun, MiÅosz Panfil, Miłosz Panfil
We obtain an exact analytic expression for the dynamical structure factor of one-dimensional quantum gas of hard rods. Our result is valid for an arbitrary many-body state of the s…
Non-reciprocal topological solitons in active metamaterials
Jonas Veenstra, Oleksandr Gamayun, Xiaofei Guo +3
From protein motifs to black holes, topological solitons are pervasive nonlinear excitations that are robust and can be driven by external fields. So far, existing driving mechanis…
Non-reciprocal breathing solitons
Jonas Veenstra, Oleksandr Gamayun, Martin Brandenbourger +4
Breathing solitons consist of a fast beating wave within a compact envelope of stable shape and velocity. They can propagate and carry information and energy in a variety of contex…
Exactly solvable models for universal operator growth
Oleksandr Gamayun, Murtaza Ali Mir, Oleg Lychkovskiy +1
Quantum observables of generic many-body systems exhibit a universal pattern of growth in the Krylov space of operators. This pattern becomes particularly manifest in the Lanczos b…