1,169 research outputs found
Robust interrogation of differential properties for design and manufacture
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1994, and Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1994.Includes bibliographical references (leaves 120-123).by George D. Margetis.M.S
Pair excitations and the mean field approximation of interacting Bosons, I
In our previous work \cite{GMM1},\cite{GMM2} we introduced a correction to
the mean field approximation of interacting Bosons. This correction describes
the evolution of pairs of particles that leave the condensate and subsequently
evolve on a background formed by the condensate. In \cite{GMM2} we carried out
the analysis assuming that the interactions are independent of the number of
particles . Here we consider the case of stronger interactions. We offer a
new transparent derivation for the evolution of pair excitations. Indeed, we
obtain a pair of linear equations describing their evolution. Furthermore, we
obtain apriory estimates independent of the number of particles and use these
to compare the exact with the approximate dynamics
Metal-semiconductor-metal photodetectors on a GeSn-on-insulator platform for 2 µm applications
In this work, the metal-semiconductor-metal photodetectors were demonstrated on the Ge0.91Sn0.09-on-insulator (GeSnOI) platform. The responsivity was 0.24 and 0.06 A/W at wavelengths of 1,600 and 2,003 nm, respectively. Through a systematic study, it is revealed that the photodetectors can potentially detect wavelength beyond 2,200 nm. The dark current density was measured to be 4.6 A/cm2 for GeSnOI waveguide-shaped photodetectors. The 3 dB bandwidth was observed to be 1.26 and 0.81 GHz at 1,550 and 2,000 nm wavelengths, respectively. This work opens up an opportunity for low-cost 2 µm wavelength photodetection on the GeSn/Ge interface-free GeSnOI platform
Neutral magic-angle bilayer graphene: Condon instability and chiral resonances
We discuss the full optical response of twisted bilayer graphene at the
neutrality point close to the magic angle within the continuum model. (i)
First, we define the full optical response consistent with the underlying
symmetry, yielding the total, magnetic, and chiral response that transform
according to the irreducible representations , , and ,
respectively. Then, we numerically calculate the dissipative and reactive
response for twist angles around the magic angle and comment on the
possibility of a Condon instability. (ii) Second, we numerically calculate the
full optical response {\it almost at} . The total response is
characterized by three universal plateaus which can be obtained from an
analytical calculation. The magnetic and the chiral response, however, is given
by corresponding non-universal plateaus depending on the twist angle
via the dimensionless parameter . (iii) Following
the discussion on the large magnetic response, we calculate the plasmonic
excitations at the neutrality point inside the optical gap of relaxed twisted
bilayer graphene. We find that acoustic plasmons extend over almost the whole
optical gap and carry the largest oscillator strength. (iv) Finally, we discuss
symmetry relations for the response functions as function of the chemical
potential and highlight the consequences of the approximate particle-hole
symmetry of the continuum model for twisted bilayer graphene. We then discuss a
detailed balance relation where the chiral response at charge neutrality can be
understood in terms of electron (hole) transitions for which the initial
(final) states are energetically closer to charge neutrality than the final
(initial) states.Comment: 17 pages, 7 figure
Hydrodynamical analysis of single inclusive spectra and Bose-Einstein correlations for at 160 AGeV
We present the first analysis of preliminary data for at 160
using 3+1-dimensional relativistic hydrodynamics. We find excellent agreement
with the rapidity spectra of negative hadrons and the correlation measurements.
The data indicates a large amount of stopping; of the invariant energy
of the collision is thermalized and of the baryons are contained in the
central fireball. Within our model this implies that a quark-gluon-plasma of
lifetime 3.4 was formed.Comment: 13 pages, 5 Postscript figures (attached to this file as compressed
and uuencoded Postscript file
Impurity and quaternions in nonrelativistic scattering from a quantum memory
Models of quantum computing rely on transformations of the states of a
quantum memory. We study mathematical aspects of a model proposed by Wu in
which the memory state is changed via the scattering of incoming particles.
This operation causes the memory content to deviate from a pure state, i.e.
induces impurity. For nonrelativistic particles scattered from a two-state
memory and sufficiently general interaction potentials in 1+1 dimensions, we
express impurity in terms of quaternionic commutators. In this context, pure
memory states correspond to null hyperbolic quaternions. In the case with point
interactions, the scattering process amounts to appropriate rotations of
quaternions in the frequency domain. Our work complements a previous analysis
by Margetis and Myers (2006 J. Phys. A 39 11567--11581).Comment: 16 pages, no figure
Second-order corrections to mean-field evolution of weakly interacting Bosons, II
We study the evolution of a N-body weakly interacting system of Bosons. Our
work forms an extension of our previous paper I, in which we derived a
second-order correction to a mean-field evolution law for coherent states in
the presence of small interaction potential. Here, we remove the assumption of
smallness of the interaction potential and prove global existence of solutions
to the equation for the second-order correction. This implies an improved
Fock-space estimate for our approximation of the N-body state
Clocking hadronization in relativistic heavy ion collisions with balance functions
A novel state of matter has been hypothesized to exist during the early stage
of relativistic heavy ion collisions, with normal hadrons not appearing until
several fm/c after the start of the reaction. To test this hypothesis,
correlations between charges and their associated anticharges are evaluated
with the use of balance functions. It is shown that late-stage hadronization is
characterized by tightly correlated charge/anticharge pairs when measured as a
function of relative rapidity.Comment: 5 pages, 3 figure
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