Publications (34)
Overlapping resonances in the control of intramolecular vibrational redistribution
D. Gerbasi, A. S. Sanz, P. S. Christopher +2
Coherent control of bound state processes via the interfering overlapping resonances scenario [Christopher et al., J. Chem. Phys. 123, 064313 (2006)] is developed to control intram…
Expected Performance of the ATLAS Experiment - Detector, Trigger and Physics
The ATLAS Collaboration, G. Aad, E. Abat +2604
A detailed study is presented of the expected performance of the ATLAS detector. The reconstruction of tracks, leptons, photons, missing energy and jets is investigated, together w…
Noncommutative Networks on a Cylinder
S. Arthamonov, N. Ovenhouse, M. Shapiro
In this paper a double quasi Poisson bracket in the sense of Van den Bergh is constructed on the space of noncommutative weights of arcs of a directed graph embedded in a disk or c…
On total reality of meromorphic functions
A. Degtyarev, T. Ekedahl, I. Itenberg +2
We show that if a meromorphic function of degree at most four on a real algebraic curve of an arbitrary genus has only real critical points then it is conjugate to a real meromorph…
Bottom Production
P. Nason, G. Ridolfi, O. Schneider G. F. Tartarelli +56
We review the prospects for bottom production physics at the LHC.
First steps towards total reality of meromorphic functions
T. Ekedahl, B. Shapiro, M. Shapiro
It was earlier conjectured by the second and the third authors that any rational curve such that the inverse images of all its flattening point…
Rational hyperholomorphic functions in (\mathbb R^4)
D. Alpay, M. Shapiro, D. Volok
We introduce the notion of rationality for hyperholomorphic functions (functions in the kernel of the Cauchy-Fueter operator). Following the case of one complex variable, we give t…
Scaling in activated escape of underdamped systems
M. I. Dykman, I. B. Schwartz, M. Shapiro
Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped. The…
Parallel poly pushdown groups
G. Baumsalg, M. Shapiro, H. Short
We define a class of groups based on parallel computations by pushdown automata. This class generalizes automatic groups. It includes the fundamental groups of all 3-manifolds whic…
On algebra generated by Chern-Bott forms on SL_n/B
B. Shapiro, M. Shapiro
In this short note we give an explicit presentation of the algebra A_n generated by the curvature 2-forms of the standard Hermitiam line bundles over SL_n/B as the quotient of the…
Strong many-particle localization and quantum computing with perpetually coupled qubits
L. F. Santos, M. I. Dykman, M. Shapiro +1
We demonstrate the onset of strong on-site localization in a one-dimensional many-particle system. The localization is obtained by constructing, in an explicit form, a bounded sequ…
Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras
M. Gekhtman, M. Shapiro
In this paper we prove the complete integrability of Toda flows on generic coadjoint orbits in simple Lie algebras.
Generalized chord diagrams and weight systems
M. Kazarian, E. Krasilnikov, S. Lando +1
Weight systems are functions on chord diagrams satisfying Vassiliev's -term relations. They originate in the theory of finite type knot invariants. Recent developments in unders…
Hurwitz numbers and intersections on moduli spaces of curves
T. Ekedahl, S. Lando, M. Shapiro +1
This article is an extended version of preprint math.AG/9902104. We find an explicit formula for the number of topologically different ramified coverings of a sphere by a genus g s…
Geometric leaf of symplectic groupoid
E. Brodsky, P. Dangwal, S. Hamlin +5
We consider the symplectic groupoid of pairs with real unipotent upper-triangular matrix and being such that is also a unipotent upper-tri…
Quantum Measurements of Coupled Two-Level Systems
L. Fedichkin, M. Shapiro, M. I. Dykman
We propose an approach to measuring nonresonant coupled systems, which gives a parametrically smaller error than the conventional fast projective measurements. The approach takes i…
Many-particle confinement by constructed disorder and quantum computing
M. I. Dykman, L. F. Santos, M. Shapiro
Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenbe…
B decays at the LHC
P. Ball, R. Fleischer, G. F. Tartarelli +67
We review the prospects for B decay studies at the LHC.
Rational functions and real Schubert calculus
A. Eremenko, A. Gabrielov, M. Shapiro +1
We single out some problems of Schubert calculus of subspaces of codimension 2 that have the property that all their solutions are real provided that the data are real. Our argumen…
Cluster algebras and Poisson geometry
M. Gekhtman, M. Shapiro, A. Vainshtein
We introduce a Poisson variety compatible with a cluster algebra structure and a compatible toric action on this variety. We study Poisson and topological properties of the union o…
Complete transfer of populations from a single state to a pre-selected superposition of states using Piecewise Adiabatic Passage: Experiment
S. Zhdanovich, E. A. Shapiro, J. W. Hepburn +2
We demonstrate a method of adiabatic population transfer from a single quantum state into a coherent superposition of states. The transfer is executed with femtosecond pulses, spec…
Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells
B. Shapiro, M. Shapiro, A. Vainshtein
We prove that the number of connected components in the intersection of two open opposite Schubert cells in the variety of complete real n-dimensional flags equals 3*2^{n-1} for n>…
Connected components in the intersection of two open opposite Schubert cells in real complete flag manifold
B. Shapiro, M. Shapiro, A. Vainshtein
In this paper we reduce the problem of counting the number of connected components in the intersection of two opposite open Schubert cells in the variety of real complete flags to…
Finite differrence operators with a finite--band spectrum
M. Shapiro, V. Vinnikov, P. Yuditskii
We discuss a functional model for multi--diagonal selfadjoint operators with almost periodic coefficients that generalizes the well known model for finite band Jacobi matrices. It…
Localization Lifetime of a Many-Body System with Periodic Constructed Disorder
M. Schecter, M. Shapiro, M. I. Dykman
We show that, in a many-body system, all particles can be strongly confined to the initially occupied sites for a time that scales as a high power of the ratio of the bandwidth of…
A few riddles behind Rolle's theorem
B. Shapiro, M. Shapiro
We call a smooth function of one variable a degree n pseudopolynomial if its n-th derivative has no (real) zeros. An n pseudopolynomial is called hyperbolic if it has exactly n sim…
Stern-Gerlach deflection of field-free aligned paramagnetic molecules
E. Gershnabel, M. Shapiro, I. Sh. Averbukh
The effects of laser-induced prealignment on the deflection of paramagnetic molecules by inhomogeneous static magnetic field are studied. Depending on the relevant Hund's coupling…
Chaotic Geodesics in Carnot Groups
R. Montgomery, M. Shapiro, A. Stolin
The group of real 4 by 4 upper triangular matrices with 1s on the diagonal has a left-invariant subRiemannian (or Carnot-Caratheodory) structure whose underlying distribution corre…
Theory of laser catalysis with pulses
A. Vardi, M. Shapiro
The possibility of accelerating molecular reactions by lasers has attracted considerable theoretical and experimental interest. A particular example of laser-modified reaction dyna…
Population transfer between two quantum states by piecewise chirping of femtosecond pulses: Theory and experiment
S. Zhdanovich, E. A. Shapiro, M. Shapiro +2
We propose and demonstrate the method of population transfer by piecewise adiabatic passage between two quantum states. Coherent excitation of a two-level system with a train of ul…
Darboux coordinates for symplectic groupoid and cluster algebras
L. Chekhov, M. Shapiro
Using Fock--Goncharov higher Teichmüller space variables we derive Darboux coordinate representation for entries of general symplectic leaves of the groupoid of upp…
Many-particle localization by constructed disorder: enabling quantum computing with perpetually coupled qubits
M. I. Dykman, F. M. Izrailev, L. F. Santos +1
We demonstrate that, in a many-particle system, particles can be strongly confined to their sites. The localization is obtained by constructing a sequence of on-site energies that…
Femtosecond lasing from a fluorescent protein in a one dimensional random cavity
T. M. Drane, H. Bach, M. Shapiro +1
We present evidence of ultrafast random lasing from the fluorescent protein DsRed2 embedded in a random one-dimensional cavity. Lasing is achieved when a purified protein solution,…
Periodic de Bruijn triangles: exact and asymptotic results
B. Shapiro, M. Shapiro, A. Vainshtein
We study the distribution of the number of permutations with a given periodic up-down sequence w.r.t. the last entry, find exponential generating functions and prove asymptotic for…