56 citations · 193 across the 14 of their papers we have counts for
14 papers
Conformal symmetry in quasi-free Markovian open quantum systems
Anatolii I. Lotkov, Denis V. Kurlov, Aleksey K. Fedorov +2
Conformal symmetry governs the behavior of closed systems near second-order phase transitions, and is expected to emerge in open systems going through dissipative phase transitions…
Efficient variational synthesis of quantum circuits with coherent multi-start optimization
Nikita A. Nemkov, Evgeniy O. Kiktenko, Ilia A. Luchnikov +1
We consider the problem of the variational quantum circuit synthesis into a gate set consisting of the CNOT gate and arbitrary single-qubit (1q) gates with the primary target being…
On the Role of Longitudinal Currents in Radiating Systems of Charges
Nikita Nemkov, Vassili Fedotov
The time derivative of the charge density is linked to the current density by the continuity equation. However, it features only the longitudinal part of a current density, which i…
Analytic conformal bootstrap and Virasoro primary fields in the Ashkin-Teller model
Nikita Nemkov, Sylvain Ribault
We revisit the critical two-dimensional Ashkin-Teller model, i.e. the orbifold of the compactified free boson CFT at . We solve the model on the plane by comput…
Liouville perturbation theory for Laughlin state and Coulomb gas
Nikita Nemkov, Semyon Klevtsov
We consider the generating functional (logarithm of the normalization factor) of the Laughlin state on a sphere, in the limit of a large number of particles . The problem is ref…
Equivalent sources approach for non radiating states and anapole metamaterials
Giuseppe Labate, Anar K. Ospanova, Nikita A. Nemkov +2
In this work, we discuss theoretical findings on the common feature describing nonradiating sources, based on equivalent sources from which it is possible to derive cloaking device…
Electromagnetic sources beyond common multipoles
Nikita A. Nemkov, Alexey A. Basharin, Vassily A. Fedotov
The complete dynamic multipole expansion of electromagnetic sources contains more types of multipole terms than it is conventionally perceived. The toroidal multipoles are one of t…
Analytic properties of the Virasoro modular kernel
Nikita Nemkov
On the space of generic conformal blocks the modular transformation of the underlying surface is realized as a linear integral transformation. We show that the analytic properties…
On new exact conformal blocks and Nekrasov functions
Nikita Nemkov
Recently, an intriguing family of the one-point toric conformal blocks AGT related to the Nekrasov functions was discovered by M. Beccaria and G. Macori…
Non-radiating sources, dynamic anapole and Aharonov-Bohm effect
Nikita A. Nemkov, Alexey A. Basharin, Vassily A. Fedotov
We show that for a particular choice of gauge the vector potential of any non-radiating source is spatially localized along with its electric and magnetic fields. Important on its…
On modular transformations of non-degenerate toric conformal blocks
Nikita Nemkov
We derive and solve the difference equations on the toric modular kernel following from the consistency relations in the fusion algebra. The result is explicit and simple series ex…
On fusion kernel in Liouville theory
Nikita Nemkov
We study fusion kernel for non-degenerate conformal blocks in Liouville theory as a solution to the difference equations originating from the pentagon identity. We suggest an appro…
S-duality as Fourier transform for arbitrary
N. Nemkov
The AGT relations reduce S-duality to the modular transformations of conformal blocks. It was recently conjectured that for the four-point conformal block the modular transform up…
Heavy-meson physics and flavour violation with a single generation
M. Libanov, N. Nemkov, E. Nugaev +1
We study flavour-violating processes which involve heavy B- and D-mesons and are mediated by Kaluza-Klein modes of gauge bosons in a previously suggested model where three generati…