416 research outputs found
Bethe subalgebras in affine Birman--Murakami--Wenzl algebras and flat connections for q-KZ equations
Commutative sets of Jucys-Murphyelements for affine braid groups of
types were defined. Construction of
-matrix representations of the affine braid group of type and its
distinguish commutative subgroup generated by the -type Jucys--Murphy
elements are given. We describe a general method to produce flat connections
for the two-boundary quantum Knizhnik-Zamolodchikov equations as necessary
conditions for Sklyanin's type transfer matrix associated with the two-boundary
multicomponent Zamolodchikov algebra to be invariant under the action of the
-type Jucys--Murphy elements. We specify our general construction to
the case of the Birman--Murakami--Wenzl algebras. As an application we suggest
a baxterization of the Dunkl--Cherednik elements in the double affine
Hecke algebra of type
Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation
We report on the experimental study of an exceptional point (EP) in a
dissipative microwave billiard with induced time-reversal invariance (T)
violation. The associated two-state Hamiltonian is non-Hermitian and
non-symmetric. It is determined experimentally on a narrow grid in a parameter
plane around the EP. At the EP the size of T violation is given by the relative
phase of the eigenvector components. The eigenvectors are adiabatically
transported around the EP, whereupon they gather geometric phases and in
addition geometric amplitudes different from unity
Changes in Arctic Ocean Climate Evinced through Analysis of IPY 2007–2008 Oceanographic Observations
Full-depth hydrographical surveys conducted in 2007–2009 during the International Polar Year (IPY) collaboration provide an accurate snapshot of the Arctic Ocean (AO) hydrography at a time when the Arctic Ocean Oscillation (AOO) index was highest in recent record. We construct pan-Arctic temperature and salinity (T/S) reference states from these data using variational optimal interpolation and discuss some key differences between the 2007–2009 state and a similarly constructed climatology from historical 1950–1994 Russian archives. These data provide a recent, known reference state for both qualitative and quantitative future AO climate change studies. Furthermore, we present an analysis of sea-surface height (SSH) and upper-layer circulation constructed from the IPY data via 4DVar data assimilation and use them to examine circulation and freshwater source changes visible during IPY
Scaling functions from q-deformed Virasoro characters
We propose a renormalization group scaling function which is constructed from
q-deformed fermionic versions of Virasoro characters. By comparison with
alternative methods, which take their starting point in the massive theories,
we demonstrate that these new functions contain qualitatively the same
information. We show that these functions allow for RG-flows not only amongst
members of a particular series of conformal field theories, but also between
different series such as N=0,1,2 supersymmetric conformal field theories. We
provide a detailed analysis of how Weyl characters may be utilized in order to
solve various recurrence relations emerging at the fixed points of these flows.
The q-deformed Virasoro characters allow furthermore for the construction of
particle spectra, which involve unstable pseudo-particles.Comment: 31 pages of Latex, 5 figure
Optimal conditions and the dynamics of quantum memory for spatial frequency grating resonators
The dynamics of the interaction between microcavities connected to a common
waveguide in a multiresonator quantum memory circuit is investigated. Optimum
conditions are identified for the use of quantum memory and a dynamic picture
of the exchange of energy between different microcavities is obtained
Further solutions of critical ABF RSOS models
The restricted SOS model of Andrews, Baxter and Forrester has been studied.
The finite size corrections to the eigenvalue spectra of the transfer matrix of
the model with a more general crossing parameter have been calculated.
Therefore the conformal weights and the central charges of the non-unitary or
unitary minimal conformal field have been extracted from the finite size
corrections.Comment: Pages 11; revised versio
Optimum quantum memory conditions for a spatial frequency resonator grating
© 2017, Allerton Press, Inc. The dynamics of the interaction between microcavities connected to a common waveguide in a multiresonator quantum memory circuit is investigated. Optimum conditions are identified for the use of quantum memory and a dynamic picture of the exchange of energy between different microcavities is obtained
Magnetic field dynamos and magnetically triggered flow instabilities
The project A2 of the LIMTECH Alliance aimed at a better understanding of those magnetohydrodynamic instabilities that are relevant for the generation and the action of cosmic magnetic fields. These comprise the hydromagnetic dynamo effect and various magnetically triggered flow instabilities, such as the magnetorotational instability and the Tayler instability. The project was intended to support the experimental capabilities to become available in the framework of the DREsden Sodium facility for DYNamo and thermohydraulic studies (DRESDYN). An associated starting grant was focused on the dimensioning of a liquid metal experiment on the newly found magnetic destabilization of rotating flows with positive shear. In this paper, the main results of these two projects are summarized
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