20,731 research outputs found
Envelope-driven recollisions triggered by an elliptically polarized laser pulse
Increasing ellipticity usually suppresses the recollision probability
drastically. In contrast, we report on a recollision channel with large return
energy and a substantial probability, regardless of the ellipticity. The laser
envelope plays a dominant role in the energy gained by the electron, and in the
conditions under which the electron comes back to the core. We show that this
recollision channel eciently triggers multiple ionization with an elliptically
polarized pulse
N-complexes as functors, amplitude cohomology and fusion rules
We consider N-complexes as functors over an appropriate linear category in
order to show first that the Krull-Schmidt Theorem holds, then to prove that
amplitude cohomology only vanishes on injective functors providing a well
defined functor on the stable category. For left truncated N-complexes, we show
that amplitude cohomology discriminates the isomorphism class up to a
projective functor summand. Moreover amplitude cohomology of positive
N-complexes is proved to be isomorphic to an Ext functor of an indecomposable
N-complex inside the abelian functor category. Finally we show that for the
monoidal structure of N-complexes a Clebsch-Gordan formula holds, in other
words the fusion rules for N-complexes can be determined.Comment: Final versio
An unconditionally stable staggered algorithm for transient finite element analysis of coupled thermoelastic problems
An unconditionally stable second order accurate implicit-implicit staggered procedure for the finite element solution of fully coupled thermoelasticity transient problems is proposed. The procedure is stabilized with a semi-algebraic augmentation technique. A comparative cost analysis reveals the superiority of the proposed computational strategy to other conventional staggered procedures. Numerical examples of one and two-dimensional thermomechanical coupled problems demonstrate the accuracy of the proposed numerical solution algorithm
Complex structures and the Elie Cartan approach to the theory of spinors
Each isometric complex structure on a 2-dimensional euclidean space
corresponds to an identification of the Clifford algebra of with the
canonical anticommutation relation algebra for ( fermionic) degrees of
freedom. The simple spinors in the terminology of E.~Cartan or the pure spinors
in the one of C. Chevalley are the associated vacua. The corresponding states
are the Fock states (i.e. pure free states), therefore, none of the above
terminologies is very good.Comment: 10
Number squeezed and fragmented states of strongly interacting bosons in a double well
We present a systematic study of the phenomena of number squeezing and
fragmentation for a repulsive Bose-Einstein condensate (BEC) in a three
dimensional double well potential over a range of interaction strengths and
barrier heights, including geometries that exhibit appreciable overlap in the
one-body wavefunctions localized in the left and right wells. We compute the
properties of the condensate with numerically exact, full dimensional path
integral ground state (PIGS) Quantum Monte Carlo simulations and compare with
results obtained from using two- and eight-mode truncated basis models. The
truncated basis models are found to agree with the numerically exact PIGS
simulations for weak interactions, but fail to correctly predict the amount of
number squeezing and fragmentation exhibited by the PIGS simulations for strong
interactions. We find that both number squeezing and fragmentation of the BEC
show non-monotonic behavior at large values of interaction strength a. The
number squeezing shows a universal scaling with the product of number of
particles and interaction strength (Na) but no such universal behavior is found
for fragmentation. Detailed analysis shows that the introduction of repulsive
interactions not only suppresses number fluctuations to enhance number
squeezing, but can also enhance delocalization across wells and tunneling
between wells, each of which may suppress number squeezing. This results in a
dynamical competition whose resolution shows a complex dependence on all three
physical parameters defining the system: interaction strength, number of
particles, and barrier height.Comment: 33 pages, 21 figures. Submitted for publication in Physical Review
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