1,597 research outputs found
On the Transfer of Metric Fluctuations when Extra Dimensions Bounce or Stabilize
In this report, we study within the context of general relativity with one
extra dimension compactified either on a circle or an orbifold, how radion
fluctuations interact with metric fluctuations in the three non-compact
directions. The background is non-singular and can either describe an extra
dimension on its way to stabilization, or immediately before and after a series
of non-singular bounces. We find that the metric fluctuations transfer
undisturbed through the bounces or through the transients of the
pre-stabilization epoch. Our background is obtained by considering the effects
of a gas of massless string modes in the context of a consistent 'massless
background' (or low energy effective theory) limit of string theory. We discuss
applications to various approaches to early universe cosmology, including the
ekpyrotic/cyclic universe scenario and string gas cosmology.Comment: V2. Minor Clarifications V3. appendix and 2 figures added, typos
corrected, conclusions unchanged 12 pages, 6 figure
Measurement of the Photon-Plasmon Coupling Phase
Scattering processes have played a crucial role in the development of quantum
theory. In the field of optics, scattering phase shifts have been utilized to
unveil interesting forms of light-matter interactions. Here, we investigate the
mode-coupling phase of single photons to surface plasmon polaritons in a
quantum plasmonic tritter. We observe that the coupling process induces a phase
jump that occurs when photons scatter into surface plasmons and vice versa.
This interesting coupling phase dynamics is of particular relevance for quantum
plasmonic experiments. Furthermore, it is demonstrated that this photon-plasmon
interaction can be modeled through a quantum-mechanical tritter. We show that
the visibility of a double-slit and a triple-slit interference patterns are
convenient observables to characterize the interaction at a slit and determine
the coupling phase. Our accurate and simple model of the interaction, validated
by simulations and experiments, has important implications not only for quantum
plasmonic interference effects, but is also advantageous to classical
applications
Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials
The quadratic algebras Q_n are associated with pseudo-roots of noncommutative
polynomials. We compute the Hilbert series of the algebras Q_n and of the dual
quadratic algebras Q_n^!Comment: Amstex, 24 page
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