190 citations · 1.9k across the 45 of their papers we have counts for
41 papers
Hybrid quantum learning with data re-uploading on a small-scale superconducting quantum simulator
Aleksei Tolstobrov, Gleb Fedorov, Shtefan Sanduleanu +11
Supervised quantum learning is an emergent multidisciplinary domain bridging between variational quantum algorithms and classical machine learning. Here, we study experimentally a…
The quantum and classical field scattered on a single two-level system
Sergei Gunin, Andrei Vasenin, Aleksei Dmitriev +3
In many problems, the scattering amplitudes of weak coherent pulse are almost equivalent to the ones of single propagating photon. We thoroughly compare the scattering of: (i) shor…
Quantum computation at the edge of a disordered Kitaev honeycomb lattice
Igor Timoshuk, Konstantin Tikhonov, Yuriy Makhlin
We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operati…
Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
Jan-Niklas Herre, Jonas F. Karcher, Konstantin S. Tikhonov +1
Anderson localization on random regular graphs (RRG) serves as a toy-model of many-body localization (MBL). We explore the transition for ergodicity to localization on RRG with lar…
Resonances in a single-lead reflection from a disordered medium: -model approach
Yan V. Fyodorov, Mikhail A. Skvortsov, Konstantin S. Tikhonov
Using the framework of supersymmetric non-linear -model we develop a general non-perturbative characterisation of universal features of the density of the imaginary parts…
Viscous flow through a finite-width slit: Boundary conditions and dissipation
Daniil Asafov, Valentin Kachorovskii, Konstantin Tikhonov +1
We study the hydrodynamic viscous electronic transport in a two-dimensional sample separated into two semi-infinite planes by a one-dimensional infinite barrier. The semi-infinite…
The effect of elastic disorder on single electron transport through a buckled nanotube
S. S. Evseev, I. S. Burmistrov, K. S. Tikhonov +1
We study transport properties of a single electron transistor based on elastic nanotube. Assuming that an external compressive force is applied to the nanotube, we focus on the vic…
Heating of inhomogeneous electron flow in the hydrodynamic regime
Gu Zhang, Valentin Kachorovskii, Konstantin Tikhonov +1
We study the electron temperature profiles for an inhomogeneous electron flow in the hydrodynamic regime. We assume that the inhomogeneity is due to a weakly non-uniform distributi…
Tail states and unusual localization transition in low-dimensional Anderson model with power-law hopping
Konstantin S. Tikhonov, Alexey S. Ioselevich, Mikhail V. Feigel'man
We study deterministic power-law quantum hopping model with an amplitude and local Gaussian disorder in low dimensions under the condition $d < β< 3…
Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
Paul Pöpperl, Elmer V. H. Doggen, Jonas F. Karcher +2
We explore dynamics of disordered and quasi-periodic interacting lattice models using a self-consistent time-dependent Hartree-Fock (TDHF) approximation, accessing both large syste…
Instantons in the out-of-equilibrium Coulomb blockade
A. S. Dotdaev, Ya. I. Rodionov, K. S. Tikhonov
Physical properties of single-electron devices in the week Coulomb blockade regime are significantly dependent on non-perturbative effects. They arise as instanton solutions of equ…
Eigenstate correlations around many-body localization transition
Konstantin S. Tikhonov, Alexander D. Mirlin
We explore correlations of eigenstates around the many-body localization (MBL) transition in their dependence on the energy difference (frequency) and disorder . In addition…
Strange metal state near quantum superconductor-metal transition in thin films
Konstantin Tikhonov, Mikhail Feigel'man
We develop a theory of quantum phase transition (q-SMT) between metal and superconducting ground states in a two-dimensional metal with frozen-in spatial fluctuations $δλ(r…
Magnetotransport and internodal tunnelling in Weyl semimetals
G. Bednik, K. S. Tikhonov, S. V. Syzranov
Internodal dynamics of quasiparticles in Weyl semimetals manifest themselves in hydrodynamic, transport and thermodynamic phenomena and are essential for potential valleytronic app…
Microwave response of a superconductor beyond the Eliashberg theory
Konstantin S. Tikhonov, Alexander V. Semenov, Igor A. Devyatov +1
We review recent progress in the theory of electromagnetic response of dirty superconductors subject to microwave radiation. The theory originally developed by Eliashberg in 1970 a…
Neural Quantum States of frustrated magnets: generalization and sign structure
Tom Westerhout, Nikita Astrakhantsev, Konstantin S. Tikhonov +2
Neural quantum states (NQS) attract a lot of attention due to their potential to serve as a very expressive variational ansatz for quantum many-body systems. Here we study the main…
Asymmetry of non-local dissipation: From drift-diffusion to hydrodynamics
K. S. Tikhonov, I. V. Gornyi, V. Yu. Kachorovskii +1
We study dissipation in inhomogeneous two-dimensional electron systems. We predict a relatively strong current-induced spatial asymmetry in the heating of the electron and phonon s…
Critical behavior at the localization transition on random regular graphs
K. S. Tikhonov, A. D. Mirlin
We study numerically the critical behavior at the localization transition in the Anderson model on infinite Bethe lattice and on random regular graphs. The focus is on the case of…
Statistics of eigenstates near the localization transition on random regular graphs
K. S. Tikhonov, A. D. Mirlin
Dynamical and spatial correlations of eigenfunctions as well as energy level correlations in the Anderson model on random regular graphs (RRG) are studied. We consider the critical…
Many-body localization and delocalization in large quantum chains
Elmer V. H. Doggen, Frank Schindler, Konstantin S. Tikhonov +4
We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body locali…
SYK model with quadratic perturbations: the route to a non-Fermi-liquid
A. V. Lunkin, K. S. Tikhonov, M. V. Feigel'man
We study the stability of the SYK model with a large but finite number of fermions with respect to a perturbation, quadratic in fermionic operators. We develop analytic per…
Many-body localization transition with power-law interactions: Statistics of eigenstates
K. S. Tikhonov, A. D. Mirlin
We study spectral and wavefunction statistics for many-body localization transition in systems with long-range interactions decaying as with an exponent satisfying $ d…
Flexural phonons in supported graphene: from pinning to localization
Wei L. Z. Zhao, Konstantin S. Tikhonov, Alexander M. Finkel'stein
We identify graphene layer on a disordered substrate as a possible system where Anderson localization of phonons can be observed. Generally, observation of localization for scatter…
Landau levels with magnetic tunnelling in Weyl semimetal and magnetoconductance of ballistic - junction
David R. Saykin, Konstantin S. Tikhonov, Yaroslav I. Rodionov
We study Landau levels (LLs) of Weyl semimetal (WSM) with two adjacent Weyl nodes. We consider different orientations of magnetic field $\mathbf…