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Non-Markovian quantum friction of bright solitons in superfluidsDec 23 2015May 04 2016We explore the quantum dynamics of a bright matter-wave soliton in a quasi-one-dimensional bosonic superfluid with attractive interactions. Specifically, we focus on the dissipative forces experienced by the soliton due to its interaction with Bogoliubov ... More

Transport of Dirac electrons in a random magnetic field in topological heterostructuresMar 01 2016We consider the proximity effect between Dirac states at the surface of a topological insulator and a ferromagnet with easy plane anisotropy, which is described by the \emph{XY}-model and undergoes a Berezinskii-Kosterlitz-Thouless (BKT) phase transition. ... More

Fingerprints of Berry phases in the bulk exciton spectrum of a topological insulatorJan 04 2018We examine excitons formed in the bulk of a topological insulator as the system is tuned via a parameter between topological and trivial insulating phases, arguing that nontrivial topology has fingerprints in the spectrum of these excitons. The closely ... More

Charged skyrmions on the surface of a topological insulatorDec 02 2014Feb 13 2015We consider the interplay between magnetic skyrmions in an insulating thin film and the Dirac surface states of a 3D topological insulator (TI), coupled by proximity effect. The magnetic texture of skyrmions can lead to confinement of Dirac states at ... More

Direct observation of surface state thermal oscillation in SmB6 oscillatorsDec 17 2017SmB6 is a mixed valence Kondo insulator that exhibits a sharp increase in resistance following an activated behavior that levels off and saturates below 4K. This behavior can be explained by the proposal of SmB6 representing a new state of matter, a Topological ... More

Tunneling and Fluctuating Electron-Hole Cooper Pairs in Double Bilayer GrapheneMar 18 2019A strong low-temperature enhancement of the tunneling conductance between graphene bilayers has been reported recently, and interpreted as a signature of electron-hole pairing. The pairing in electron-hole double layers was first predicted more than forty ... More

Kinetic theory of dark solitons with tunable frictionMar 02 2017May 04 2017We study controllable friction in a system consisting of a dark soliton in a one-dimensional Bose-Einstein condensate coupled to a non-interacting Fermi gas. The fermions act as impurity atoms, not part of the original condensate, that scatter off of ... More

Self-consistent theory of ferromagnetism on the surface of a topological insulatorJan 29 2014Mar 27 2014The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities, mediated by Dirac surface states on the surface of a topological insulator, leads to impurities ferromagnetic ordering. We present a self-consistent theory of the ordering, ... More

Topologically Protected Helical States in Minimally Twisted Bilayer GrapheneFeb 08 2018Jul 17 2018In minimally twisted bilayer graphene, a moir{\'e} pattern consisting of AB and BA stacking regions separated by domain walls forms. These domain walls are predicted to support counterpropogating topologically protected helical (TPH) edge states when ... More

Moving solitons in a one-dimensional fermionic superfluidAug 27 2014Feb 18 2015A fully analytical theory of a traveling soliton in a one-dimensional fermionic superfluid is developed within the framework of time-dependent self-consistent Bogoliubov-de Gennes equations, which are solved exactly in the Andreev approximation. The soliton ... More

A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo InsulatorApr 22 2014Aug 27 2014A topological Kondo insulator (TKI) is a strongly-correlated material, where hybridization between the conduction electrons and localized f-electrons gives rise to a crossover from a metallic behavior at high temperatures to a topologically non-trivial ... More

Anomalous Coulomb Drag in Electron-Hole Bilayers due to the Formation of ExcitonsMay 31 2015Jan 27 2016Several recent experiments have reported an anomalous temperature dependence of the Coulomb drag effect in electron-hole bilayers. Motivated by these puzzling data, we study theoretically a low-density electron-hole bilayer, where electrons and holes ... More

Many-Body Theory of Trion Absorption Features in Two-Dimensional SemiconductorsSep 20 2016Recent optical studies of monolayer transition metal dechalcogenides have demonstrated that their excitonic absorption feature splits into two widely separated peaks at finite carrier densities. The additional peak is usually attributed to the presence ... More

Fluctuational internal Josephson effect in topological insulator filmApr 04 2013Jul 29 2013Tunneling between opposite surfaces of topological insulator thin film populated by electrons and holes is considered. We predict considerable enhancement of tunneling conductivity by Cooper electron-hole pair fluctuations that are precursor of their ... More

Amperean Pairing at the Surface of Topological InsulatorsMar 13 2016Aug 12 2016The surface of a 3D topological insulator is described by a helical electron state with the electron's spin and momentum locked together. We show that in the presence of ferromagnetic fluctuations the surface of a topological insulator is unstable towards ... More

Radio Frequency Tunable Oscillator Device Based on SmB6 MicrocrystalOct 09 2015Apr 01 2016Radio frequency tunable oscillators are vital electronic components for signal generation, characterization, and processing. They are often constructed with a resonant circuit and a 'negative' resistor, such as a Gunn-diode, involving complex structure ... More

Resonant Faraday and Kerr effects due to in-gap states on the surface of a topological insulatorAug 21 2014Nov 25 2014When Dirac electrons on the surface of a topological insulator are gapped, the resulting quantum anomalous Hall effect leads to universal magneto-optical Faraday and Kerr effects in the low frequency limit. However, at higher frequencies different excitations ... More

Zero Energy Ground State in the Three-Body SystemDec 02 2009Jan 22 2010We consider a 3--body system in $\mathbb{R}^3$ with non--positive potentials and non--negative essential spectrum. Under certain requirements on the fall off of pair potentials it is proved that if at least one pair of particles has a zero energy resonance ... More

Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrumOct 18 2012Feb 06 2013We consider a system of $N$ pairwise interacting particles described by the Hamiltonian $H$, where $\sigma_{ess} (H) = [0,\infty)$ and none of the particle pairs has a zero energy resonance. The pair potentials are allowed to take both signs and obey ... More

Integrals of open 2D latticesDec 21 2009We present an explicit formula for integrals of the open 2D Toda lattice of type $A_n$. This formula is applicable for various reductions of this lattice. To illustrate the concept we find integrals of the Toda $G_2$ lattice. We also reveal a connection ... More

Universal low-energy behavior in three-body systemsJan 24 2014Mar 03 2015We consider a pairwise interacting quantum 3-body system in 3-dimensional space with finite masses and the interaction term $V_{12} + \lambda(V_{13} + V_{23})$, where all pair potentials are assumed to be nonpositive. The pair interaction of the particles ... More

Bound States at Threshold resulting from Coulomb RepulsionDec 06 2011Oct 22 2012The eigenvalue absorption for a many-particle Hamiltonian depending on a parameter is analyzed in the framework of non-relativistic quantum mechanics. The long-range part of pair potentials is assumed to be pure Coulomb and no restriction on the particle ... More

Zero Energy Bound States and Resonances in Three--Particle SystemsNov 29 2011Apr 16 2012We consider a three-particle system in $\mathbb{R}^3$ with non-positive pair-potentials and non-negative essential spectrum. Under certain restrictions on potentials it is proved that the eigenvalues are absorbed at zero energy threshold given that there ... More

Manifestation of Universality in the Asymmetric Helium Trimer and in the Halo Nucleus $^{22}$CApr 20 2016We prove that the corner angle distributions in the bound three-body system AAB, which consists of two particles of type A and one particle of type B, approach universal form if the pair AA has a virtual state at zero energy and the binding energy of ... More

Darboux integrability of determinant and equations for principal minorsNov 21 2014We consider equations that represent a constancy condition for a 2D Wronskian, mixed Wronskian-Casoratian and 2D Casoratian. These determinantal equations are shown to have the number of independent integrals equal to their order - this implies Darboux ... More

Reorganization energy of electron transfer at the solvent glass transitionAug 03 2005We present a molecular-dynamics study of the solvent reorganization energy of electron transfer in supercooled water. We observe a sharp decrease of the reorganization energy at a temperature identified as the temperature of structural arrest due to cage ... More

A note on Farey fractions with denominators in arithmetic progressionsJul 01 2009As the conclusion of a line of investigation undertaken in two previous papers, we compute asymptotic frequencies for the values taken by numerators of differences of consecutive Farey fractions with denominators restricted to lie in arithmetic progression. ... More

On non-Abelian Toda $A_2^{(1)}$ model and related hierarchiesDec 21 2009We study limiting cases of the two known integrable chiral-type models with tree-dimensional configuration space. One of the initial models is the non-Abelian Toda $A_2^{(1)}$ model and the other was found by means of the symmetry approach by A.G. Meshkov ... More

Drag effect and Cooper electron-hole pair fluctuations in a topological insulator filmAug 12 2013Nov 19 2013Manifestations of fluctuating Cooper pairs formed by electrons and holes populating opposite surfaces of a topological insulator film in the Coulomb drag effect are considered. Fluctuational Aslamazov-Larkin contribution to the transresistance between ... More

Resonant manifestations of chiral excitons in magnetooptical Faraday and Kerr effects in topological insulator filmAug 16 2012Jun 20 2013Manifestation of chiral excitons on surfaces of topological insulator thin film with magnetically induced energy gap in the surface spectrum in magnetooptical Kerr and Faraday effects is analyzes. Excitonic contribution to a surface optical conductivity ... More

Nuclear interactions with modern three-body forces lead to the instability of neutron matter and neutron starsJun 24 2013Jul 30 2014It is shown that the neutron matter interacting through Argonne V18 pair-potential plus modern variants of Urbana or Illinois three-body forces is unstable. For the energy of $N$ neutrons $E(N)$, which interact through these forces, we prove mathematically ... More

Emergence of Topologically Protected Helical States in Minimally Twisted Bilayer GrapheneFeb 08 2018Bilayer graphene samples in which inversion symmetry is broken have quantum valley Hall ground states that support counterpropogating topologically protected helical (TPH) edge states localized along domain walls between AB and BA stacking regions. Moreover, ... More

A microprocessor based on a two-dimensional semiconductorDec 03 2016The advent of microcomputers in the 1970s has dramatically changed our society. Since then, microprocessors have been made almost exclusively from silicon, but the ever-increasing demand for higher integration density and speed, lower power consumption ... More

Spin-plasmons in topological insulatorJul 23 2011Collective plasmon excitations in a helical electron liquid on the surface of strong three-dimensional topological insulator are considered. The properties and internal structure of these excitations are studied. Due to spin-momentum locking in helical ... More

Coherent phase slips in superconducting nanoringsJul 15 2011We study quantum fluctuations of persistent current in a small superconducting ring. Based on a microscopic model of the ring we argue that under certain conditions such ring will exhibit coherent quantum phase slips, similar to those in a flux qubit. ... More

Kinetics of the Phase Separation Transition in Cold-Atom Boson-Fermion MixturesDec 04 2007Apr 16 2008We study the kinetics of the first order phase separation transition in boson-fermion cold-atom mixtures. At sufficiently low temperatures such a transition is driven by quantum fluctuations responsible for the formation of critical nuclei of a stable ... More

Cold Atom QubitsMay 29 2010Dec 20 2010We discuss a laser-trapped cold-atom superfluid qubit system. Each qubit is proposed as a macroscopic two-state system based on a set of Bose-Einstein condensate (BEC) currents circulating in a ring, cut with a Josephson barrier. We review the effective ... More

On Small Gaps in the Length SpectrumFeb 15 2016We discuss upper and lower bounds for the size of gaps in the length spectrum of negatively curved manifolds. For manifolds with algebraic generators for the fundamental group, we establish the existence of exponential lower bounds for the gaps. On the ... More

Metastable states and macroscopic quantum tunneling in a cold atom Josephson ringSep 18 2009We study macroscopic properties of a system of weakly interacting neutral bosons confined in a ring-shaped potential with a Josephson junction. We derive an effective low energy action for this system and evaluate its properties. In particular we find ... More

Collective excitations on a surface of topological insulatorOct 18 2011We study collective excitations in a helical electron liquid on a surface of three-dimensional topological insulator. Electron in helical liquid obeys Dirac-like equation for massless particless and direction of its spin is strictly determined by its ... More

Electron-hole pairing in topological insulator thin filmJul 07 2012Sep 01 2012We consider pairing of massless Dirac electrons and holes located on opposite surfaces of thin film of "strong" three-dimensional topological insulator. Such pairing was predicted to give rise to topological exciton condensate with unusual properties. ... More

Exceptional Points of Degeneracy in Periodically-Coupled Waveguides and the Interplay of Gain and Radiation Loss: Theoretical and Experimental DemonstrationSep 14 2018We present a novel paradigm for dispersion engineering in coupled transmission lines (CTLs) based on exceptional points of degeneracy (EPDs). We develop a theory for fourth-order EPDs consisting of four Floquet-Bloch eigenmodes coalescing into one degenerate ... More

Complexity of regular abstractions of one-counter languagesFeb 10 2016We study the computational and descriptional complexity of the following transformation: Given a one-counter automaton (OCA) A, construct a nondeterministic finite automaton (NFA) B that recognizes an abstraction of the language L(A): its (1) downward ... More

Double ionization of three-electron atom: electronic correlation effectsMay 20 2019We study the effects of spin degrees of freedom and wave function symmetries on double ionization in three-electron systems. Each electron is assigned one spatial degree of freedom, and the resulting three-dimensional Schr\"odinger equation is integrated ... More

Reaction kinetics of ultracold molecule-molecule collisionsMay 21 2018Studying chemical reactions on a state-to-state level tests and improves our fundamental understanding of chemical processes. For such investigations it is convenient to make use of ultracold atomic and molecular reactants as they can be prepared in well ... More

Catalog of Nearby Galaxies and the Local Cosmic WebOct 04 2004We compiled an all-sky catalog of 451 nearby galaxies, each having an individual distance estimate $D \la 10$ Mpc or the radial velocity $V_{LG} < 550$ km s$^{-1}$. The catalog contains data on basic optical and HI properties of the galaxies: their diameters, ... More

Higher Airy structures, W algebras and topological recursionDec 20 2018Mar 29 2019We define higher quantum Airy structures as generalizations of the Kontsevich-Soibelman quantum Airy structures by allowing differential operators of arbitrary order (instead of only quadratic). We construct many classes of examples of higher quantum ... More

Laminar-Turbulent Transition in Raman Fiber Lasers: A First Passage Statistics Based AnalysisJun 01 2016Loss of coherence with increasing excitation amplitudes and spatial size modulation is a fundamental problem in designing Raman fiber lasers. While it is known that ramping up laser pump power increases the amplitude of stochastic excitations, such higher ... More

Logic Gates with Bright Dissipative Polariton Solitons in Bragg-Cavity SystemsNov 12 2015Optical solitons are an ideal platform for the implementation of communication lines, since they can be packed extremely close one to another without risking partial loss of the encoded information due to their interaction. On the other hand, soliton-soliton ... More

Large tunable intrinsic gap in rhombohedral-stacked tetralayer grapheneMar 08 2018In rhombohedral-stacked few-layer graphene, the very flat energy bands near the charge neutrality point are unstable to electronic interactions, giving rise to states with spontaneous broken symmetries. Using transport measurements on suspended rhombohedral-stacked ... More

Quantum Money with Classical VerificationSep 02 2011Mar 15 2012We propose and construct a quantum money scheme that allows verification through classical communication with a bank. This is the first demonstration that a secure quantum money scheme exists that does not require quantum communication for coin verification. ... More

A Note on Shared Randomness and Shared Entanglement in CommunicationMay 12 2005Aug 06 2005We consider several models of 1-round classical and quantum communication, some of these models have not been defined before. We "almost separate" the models of simultaneous quantum message passing with shared entanglement and the model of simultaneous ... More

Instabilities of dispersion-managed solitons in the normal dispersion regimeMar 13 2000Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model. In the normal regime of the dispersion map (when the averaged path dispersion is negative), there are two solitons of different pulse ... More

Translationally invariant nonlinear Schrodinger latticesMar 10 2006Persistence of stationary and traveling single-humped localized solutions in the spatial discretizations of the nonlinear Schrodinger (NLS) equation is addressed. The discrete NLS equation with the most general cubic polynomial function is considered. ... More

Free energy in the Potts spin glassDec 01 2015Dec 28 2015We study the Potts spin glass model, which generalizes the Sherrington-Kirkpatrick model to the case when spins take more than two values but their interactions are counted only if the spins are equal. We obtain the analogue of the Parisi variational ... More

Integer properties of a composition of exponential generating functionsNov 09 2012In this paper, we study a composition of exponential generating functions. We obtain new properties of this composition, which allow to distinguish prime numbers from composite numbers. Using the result of paper we get the known properties of the Bell ... More

Diophantine exponents of measures: a dynamical approachJun 24 2005We place the theory of metric Diophantine approximation on manifolds into a broader context of studying Diophantine properties of points generic with respect to certain measures on $\Bbb R^n$. The correspondence between multidimensional Diophantine approximation ... More

Beam-Beam Resonances for Different Collision SchemesJun 25 2008One of the main advantages of proposed by P. Raimondi "Crab Waist" collision scheme is a strong suppression of betatron resonances excited by beam-beam interaction. Some qualitative explanations with numerical examples, describing beam-beam resonances ... More

Improved bounds for arithmetic progressions in product setsFeb 12 2015Let $B$ be a set of natural numbers of size $n$. We prove that the length of the longest arithmetic progression contained in the product set $B.B = \{bb'| \, b, b' \in B\}$ cannot be greater than $O(n \log n)$ which matches the lower bound provided in ... More

Deviation inequality for monotonic Boolean functions with application to a number of k-cycles in a random graphMay 18 2004Using Talagrand's concentration inequality on the discrete cube {0,1}^m we show that given a real-valued function Z(x)on {0,1}^m that satisfies certain monotonicity conditions one can control the deviations of Z(x) above its median by a local Lipschitz ... More

On Hamiltonian as limiting gradient in infinite horizon problemFeb 28 2015Necessary conditions of optimality in the form of the Pontryagin Maximum Principle are derived for the Bolza-type discounted problem with free right end. The optimality is understood in the sense of the uniformly overtaking optimality. Such process is ... More

On necessary boundary conditions for strictly optimal control in infinite horizon control problemsDec 27 2012In the paper we consider the infinite horizon control problems on the interval with free right-hand endpoint. We obtain the necessary conditions of strict optimality. The method of the proof actually follows the classic paper by Halkin, and the boundary ... More

Courant algebroids, derived brackets and even symplectic supermanifoldsOct 15 1999In this dissertation we study Courant algebroids, objects that first appeared in the work of T. Courant on Dirac structures; they were later studied by Liu, Weinstein and Xu who used Courant algebroids to generalize the notion of the Drinfeld double to ... More

Free energy in the mixed p-spin models with vector spinsDec 14 2015Dec 27 2015Using the synchronization mechanism developed in the previous work on the Potts spin glass model, arXiv:1512.00370, we obtain the analogue of the Parisi formula for the free energy in the mixed even $p$-spin models with vector spins, which include the ... More

Free energy in the Potts spin glassDec 01 2015Nov 11 2016We study the Potts spin glass model, which generalizes the Sherrington-Kirkpatrick model to the case when spins take more than two values but their interactions are counted only if the spins are equal. We obtain the analogue of the Parisi variational ... More

Structure of finite-RSB asymptotic Gibbs measures in the diluted spin glass modelsJun 18 2014Feb 25 2015We suggest a possible approach to proving the M\'ezard-Parisi formula for the free energy in the diluted spin glass models, such as diluted K-spin or random K-sat model at any positive temperature. In the main contribution of the paper, we show that a ... More

Singularities of integrable Hamiltonian systems: a criterion for non-degeneracy, with an application to the Manakov topSep 04 2010Oct 28 2011Let (M,\omega) be a symplectic 2n-manifold and h_1,...,h_n be functionally independent commuting functions on M. We present a geometric criterion for a singular point P\in M (i.e. such that {dh_i(P)}_{i=1}^n are linearly dependent) to be non-degenerate ... More

On weak Lie 2-algebrasDec 20 2007A Lie 2-algebra is a linear category equipped with a functorial bilinear operation satisfying skew-symmetry and Jacobi identity up to natural transformations which themselves obey coherence laws of their own. Functors and natural transformations between ... More

Tauberian theorem for value functionsJul 20 2016Apr 10 2017For two-person dynamic zero-sum games (both discrete and continuous settings), we investigate the limit of value functions of finite horizon games with long run average cost as the time horizon tends to infinity and the limit of value functions of $\lambda$-discounted ... More

Variational solutions to the abstract Euler equationMay 15 2019We study a class of nonlinear evolutionary equations of a certain structure reminiscent of the incompressible Euler equations. This includes, in particular, the ideal MHD, multidimensional Camassa-Holm, EPDiff, Euler-alpha and Korteweg-de Vries equations, ... More

A Note on Moments of Limit Log Infinitely Divisible Stochastic Measures of Bacry and MuzySep 02 2016A multiple integral representation of single and joint moments of the total mass of the limit log-infinitely divisible stochastic measure of Bacry and Muzy [$\textit{Comm. Math. Phys.}$ ${\bf 236}$: 449-475, 2003] is derived. The covariance structure ... More

On Riemann zeroes, Lognormal Multiplicative Chaos, and Selberg IntegralJun 21 2015Nov 29 2015Rescaled Mellin-type transforms of the exponential functional of the Bourgade-Kuan-Rodgers statistic of Riemann zeroes are conjecturally related to the distribution of the total mass of the limit lognormal stochastic measure of Mandelbrot-Bacry-Muzy. ... More

Example of a diffeomorphism for which the special ergodic theorem doesn't holdDec 27 2011Aug 20 2012In this work we present an example of C^\infty-diffeomorphism of a compact 4-manifold such that it admits a global SRB measure \mu but for which the special ergodic theorem doesn't hold. Namely, for this transformation there exist a continuous function ... More

Algebraization of a Cartier divisorOct 15 2012We extend to pairs classical results of R. Elkik on lifting of homomorphisms and algebraization. In particular, we establish algebraization of an affine rig-smooth formal variety with a rig-smooth closed subvariety. This solves affirmatively a problem ... More

Chemistry of a protoplanetary disk with grain settling and Lyman alpha radiationNov 01 2010We present results from a model of the chemical evolution of protoplanetary disks. In our models we directly calculate the changing propagation and penetration of a high energy radiation field with Lyman alpha radiation included. We also explore the effect ... More

Device physics of van der Waals heterojunction solar cellsMar 07 2019Heterostructures based on atomically thin semiconductors are considered a promising emerging technology for the realization of ultrathin and ultralight photovoltaic solar cells on flexible substrates. Much progress has been made in recent years on a technological ... More

Optical imaging of strain in two-dimensional crystalsMar 07 2019Strain engineering is widely used in material science to tune the (opto-)electronic properties of materials and enhance the performance of devices. Two-dimensional atomic crystals are a versatile playground to study the influence of strain, as they can ... More

Entangled simultaneity versus classical interactivity in communication complexityFeb 16 2016In 1999 Raz demonstrated a partial function that had an efficient quantum two-way communication protocol but no efficient classical two-way protocol and asked, whether there existed a function with an efficient quantum one-way protocol, but still no efficient ... More

Interest rate models and Whittaker functionsMay 10 2014I present the technique which can analyse some interest rate models: Constantinides-Ingersoll, CIR-model, geometric CIR and Geometric Brownian Motion. All these models have the unified structure of Whittaker function. The main focus of this text is closed-form ... More

The closed-open string map for $S^1$-invariant LagrangiansApr 07 2015Given a monotone Lagrangian submanifold invariant under a loop of Hamiltonian diffeomorphisms, we compute a piece of the closed-open string map into the Hochschild cohomology of the Lagrangian which captures the homology class of the loop's orbit on that ... More

Restricted trichotomy in higher dimensionsApr 19 2016Apr 27 2016I prove, answering a question of Zilber, that if $M$ is an algebraic variety of dimension strictly greater than one and $(M, \ldots)$ is a strongly minimal structure with atomic relations definable in the Zariski language on $M$, then $M$ is locally modular. ... More

Block-diagonalization of matrices over local rings.IINov 24 2014Consider rectangular matrices over a local ring R. In the previous work we have obtained criteria for block-diagonalization of such matrices, i.e. U A V=A_1\oplus A_2, where U,V are invertible matrices over R. In this short note we extend the criteria ... More

Coherent modification of entanglement: benefits due to extended Hilbert spaceNov 25 2015Jun 23 2016A quantum computing system is typically represented by a set of non-interacting (local) two-state systems - qubits. Many physical systems can naturally have more accessible states, both local and non-local. We show that the resulting non-local network ... More

Continuous time quantum walks performing quantum gates via higher energy statesDec 20 2015It has recently been noticed that quantum gates can be performed faster and can utilize interaction between qubits more effectively if performed via continuous time quantum walks through states outside of the computational basis. We formulate general ... More

The Axion Dark Matter eXperimentDec 06 2011The Axion is a particle arising from the Peccei-Quinn solution to the strong CP problem. Peccei-Quinn symmetry breaking in the early universe could produce a large number of axions which would still be present today, making the axion a compelling dark ... More

Design and Implementation of an Integrated Information System to Support Scientific ResearchApr 19 2015Computerization of research activities led to the creation of large specialized information resources, platforms, services and software to support scientific research. However, their shortcomings do not allow to fully realizing the comprehensive support ... More

Continuous averaging in dynamical systemsApr 28 2003The method of continuous averaging can be regarded as a combination of the Lie method, where a change of coordinates is constructed as a shift along solutions of a differential equation and the Neishtadt method, well-known in perturbation theory for ODE ... More

Hydrogen kinetics in non-equilibrium plasma in the electrical discharge in Ar/CH3OH/H2O mixtureJul 20 2010Plasma kinetics of molecular hydrogen in the electrical discharge in Ar/CH3OH/H2O mixture is theoretically investigated for the first time. It is researched the dependence of [H2] on the breakdown field, the discharge power, solution compound and the ... More

Real-time High Resolution Fusion of Depth Maps on GPUNov 28 2013A system for live high quality surface reconstruction using a single moving depth camera on a commodity hardware is presented. High accuracy and real-time frame rate is achieved by utilizing graphics hardware computing capabilities via OpenCL and by using ... More

Maps close to identity and universal maps in the Newhouse domainSep 04 2010Given an n-dimensional C^r-diffeomorphism g, its renormalized iteration is an iteration of g, restricted to a certain n-dimensional ball and taken in some C^r-coordinates in which the ball acquires radius 1. We show that for any r >/- 1 the renormalized ... More

The set of jumping conics of a locally free sheaf of dimension 2 on $P^2$Jan 09 2013We consider a locally free sheaf $F$ of dimension 2 on $P^2$. A conic $q$ on $P^2$ is called a jumping conic if the restriction of $F$ to $q$ is not the generic one. We prove that the set of jumping conics is the maximal determinantal variety of a skew ... More

On a property of superposition of the generating functions ln(1/(1-F(x)))Dec 05 2011Obtained a new property of superposition of the generating functions ln(1/(1-F(x))), where F(x) - generating function with integer coefficients, which allows the construction a primality tests. The theorem which is based on compositions of positive numbers ... More

DEDPUL: Method for Positive-Unlabeled Learning based on Density EstimationFeb 19 2019Mar 13 2019Positive-Unlabeled Classification is an analog of binary classification for the case when the Negative (N) sample in the training set is contaminated with latent instances of the Positive (P) class and hence is Unlabeled (U). We develop DEDPUL, a novel ... More

Order complexes of noncomplemented lattices are nonevasiveApr 28 1997We reprove and generalize in a combinatorial way the result of A. Bj\"orner [J.\ Comb.\ Th.\ A {\bf 30}, 1981, pp.~90--100, Theorem 3.3], that order complexes of noncomplemented lattices are contractible, namely by showing that these simplicial complexes ... More

The flashing ratchet and unidirectional transport of matterMar 17 2010Sep 17 2010We study the flashing ratchet model of a Brownian motor, which consists in cyclical switching between the Fokker-Planck equation with an asymmetric ratchet-like potential and the pure diffusion equation. We show that the motor really performs unidirectional ... More

Extreme nuclear magnetic resonance: zero field, single spins, dark matter...May 21 2019An unusual regime for liquid-state nuclear magnetic resonance (NMR) where the magnetic field strength is so low that the $J$-coupling (intramolecular spin-spin) interactions dominate the spin Hamiltonian opens a new paradigm with applications in spectroscopy, ... More

On Barnes Beta Distributions, Selberg Integral and Riemann XiFeb 25 2014The theory of Barnes beta probability distributions is advanced and related to the Riemann xi function. The scaling invariance, multiplication formula, and Shintani factorization of Barnes multiple gamma functions are reviewed using the approach of Ruijsenaars ... More

The Static Maxwell System in Three Dimensional Inhomogeneous Isotropic Media, Generalized Non-Euclidean Modification of the System $(R)$ and Fueter ConstructionApr 16 2019Apr 25 2019The novel approach of modified quaternionic analysis in $\mathbb R^3$ was initiated by Leutwiler and Eriksson since 1992. Further results have led to modern hyperbolic function theory. Now relevant applications in terms of electrostatic fields are presented ... More

Analytical aspects of the Brownian motor effect in randomly flashing ratchetsFeb 01 2013May 08 2013The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of a Brownian ... More

Self-organizing maps as a method for detecting phase transitions and phase identificationSep 27 2018Jan 10 2019Originating from image recognition, methods of machine learning allow for effective feature extraction and dimensionality reduction in multidimensional datasets, thereby providing an extraordinary tool to deal with classical and quantum models in many-body ... More