1,690 research outputs found
Determination of oscillator strength of confined excitons in a semiconductor microcavity
We have achieved a significant experimental Rabi-splitting (3.4 meV) for
confined polaritons in a planar semiconductor microcavity for only a
single quantum well (SQW) of GaAs (10 nm) placed at the antinode. The
Rabi-splitting phenomena are discussed in detail based on the semiclassical
theory, where two coupled harmonic oscillators (excitons and photons) are used
to describe the system. In this way, we can obtain the dispersion curve of
polaritons, the minimum value for the cavity reflectance and the oscillator
strength to reach the strong coupling regime. This approach describes an
ensemble of excitons confined in a SQW and includes a dissipation component.
The results present a weak coupling regime, where an enhanced spontaneous
emission takes place, and a strong coupling regime, where Rabi-splitting in the
dispersion curve can be observed. The theoretical results are confronted with
experimental data for the reflectance behavior in resonant and off-resonant
conditions and present a great accuracy. This allows us to determine the
oscillator strength of the confined excitons in the SQW with great precision.Comment: 11 pages, 7 figure
Loop and Path Spaces and Four-Dimensional BF Theories: Connections, Holonomies and Observables
We study the differential geometry of principal G-bundles whose base space is
the space of free paths (loops) on a manifold M. In particular we consider
connections defined in terms of pairs (A,B), where A is a connection for a
fixed principal bundle P(M,G) and B is a 2-form on M. The relevant curvatures,
parallel transports and holonomies are computed and their expressions in local
coordinates are exhibited. When the 2-form B is given by the curvature of A,
then the so-called non-abelian Stokes formula follows.
For a generic 2-form B, we distinguish the cases when the parallel transport
depends on the whole path of paths and when it depends only on the spanned
surface. In particular we discuss generalizations of the non-abelian Stokes
formula. We study also the invariance properties of the (trace of the) holonomy
under suitable transformation groups acting on the pairs (A,B).
In this way we are able to define observables for both topological and
non-topological quantum field theories of the BF type. In the non topological
case, the surface terms may be relevant for the understanding of the
quark-confinement problem. In the topological case the (perturbative)
four-dimensional quantum BF-theory is expected to yield invariants of imbedded
(or immersed) surfaces in a 4-manifold M.Comment: TeX, 39 page
Loop observables for BF theories in any dimension and the cohomology of knots
A generalization of Wilson loop observables for BF theories in any dimension
is introduced in the Batalin-Vilkovisky framework. The expectation values of
these observables are cohomology classes of the space of imbeddings of a
circle. One of the resulting theories discussed in the paper has only trivalent
interactions and, irrespective of the actual dimension, looks like a
3-dimensional Chern-Simons theory.Comment: 13 page
Algebraic structures on graph cohomology
We define algebraic structures on graph cohomology and prove that they
correspond to algebraic structures on the cohomology of the spaces of
imbeddings of S^1 or R into R^n. As a corollary, we deduce the existence of an
infinite number of nontrivial cohomology classes in Imb(S^1,R^n) when n is even
and greater than 3. Finally, we give a new interpretation of the anomaly term
for the Vassiliev invariants in R^3.Comment: Typos corrected, exposition improved. 14 pages, 2 figures. To appear
in J. Knot Theory Ramification
Residence time control in micromixers with vortex shedding
Residence time control is an important indicator of micromixer design. When using vortex shedding to enhance mixing efficiency in a micromixer, the relationship between residence time and vortex shedding becomes important; if residence time is shorter than shedding time, the fluid elements flow through the channel too quickly with no contribution of vortex shedding to mixing. Both residence time and vortex shedding depend on geometrical and flow parameters and hence in order to optimize micromixer design the effect of these parameters on mixing need to be well understood. Furthermore, the onset of vortex shedding in confined flows such as those encountered in micromixers need be elucidated. In this work, the flow field past a single cylindrical pin in a microchannel is studied experimentally using a high-speed PIV system. The effects of confinement on vortex formation are examined. Vortex shedding was observed for a channel height of two pin diameters and the shedding frequency increased with increasing lateral confinement (i.e. upon decrease in channel width at the same pin diameter). Therefore, controlling residence time via wake oscillations in pin microchannels is highly dependent on confinement
Three-dimensional BF Theories and the Alexander-Conway Invariant of Knots
We study 3-dimensional BF theories and define observables related to knots
and links. The quantum expectation values of these observables give the
coefficients of the Alexander-Conway polynomial.Comment: 32 pages (figures available upon request); LaTe
Aspects of emergent geometry in the AdS/CFT context
We study aspects of emergent geometry for the case of orbifold superconformal
field theories in four dimensions, where the orbifolds are abelian within the
AdS/CFT proposal. In particular, we show that the realization of emergent
geometry starting from the N=4 SYM theory in terms of a gas of particles in the
moduli space of vacua of a single D3 brane in flat space gets generalized to a
gas of particles on the moduli space of the corresponding orbifold conformal
field theory (a gas of D3 branes on the orbifold space). Our main purpose is to
show that this can be analyzed using the same techniques as in the N=4 SYM case
by using the method of images, including the measure effects associated to the
volume of the gauge orbit of the configurations. This measure effect gives an
effective repulsion between the particles that makes them condense into a
non-trivial vacuum configuration, and it is exactly these configurations that
lead to the geometry of X in the AdS x X dual field theoryComment: 24 page
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