16,108 research outputs found
Internal and External Fluctuation Activated Non-equilibrium Reactive Rate Process
The activated rate process for non-equilibrium open systems is studied taking
into account both internal and external noise fluctuations in a unified way.
The probability of a particle diffusing passing over the saddle point and the
rate constant together with the effective transmission coefficient are
calculated via the method of reactive flux. We find that the complexity of
internal noise is always harmful to the diffusion of particles. However the
external modulation may be beneficial to the rate process.Comment: 10 pages, 1 figure (containing 2 subgraphs). arXiv admin note: text
overlap with arXiv:cond-mat/9911028 by other author
Accidental Peccei-Quinn Symmetry from Discrete Flavour Symmetry and Pati-Salam
We show how an accidental Peccei-Quinn (PQ) symmetry can arise from a
discrete family symmetry combined with a discrete flavour symmetry , in a realistic Pati-Salam unified theory
of flavour. Imposing only these discrete flavour symmetries, the axion solution
to the strong problem is protected from PQ-breaking operators to the
required degree. A QCD axion arises from a linear combination of
triplet flavons, which are also responsible for fermion flavour structures due
to their vacuum alignments. We find that the requirement of an accidental PQ
symmetry arising from a discrete flavour symmetry constrains the form of the
Yukawa matrices, providing a link between flavour and the strong
problem. Our model predicts specific flavour-violating couplings of the
flavourful axion and thus puts a strong limit on the axion scale from kaon
decays.Comment: 14 pages, 2 figure
Experimental evidence for new symmetry axis of electromagnetic beams
The new symmetry axis of a well-behaved electromagnetic beam advanced in
paper Physical Review A 78, 063831 (2008) is not purely a mathematical concept.
The experimental result reported by Hosten and Kwiat in paper Science 319, 787
(2008) is shown to demonstrate the existence of this symmetry axis that is
neither perpendicular nor parallel to the propagation axis.Comment: 10 pages and 3 figure
Leading-Order Auxiliary Field Theory of the Bose-Hubbard Model
We discuss the phase diagram of the Bose-Hubbard (BH) model in the
leading-order auxiliary field (LOAF) theory. LOAF is a conserving
non-perturbative approximation that treats on equal footing the normal and
anomalous density condensates. The mean-field solutions in LOAF correspond to
first-order and second-order phase transition solutions with two critical
temperatures corresponding to a vanishing Bose-Einstein condensate, , and
a vanishing diatom condensate, . The \emph{second-order} phase
transition solution predicts the correct order of the transition in continuum
Bose gases. For either solution, the superfluid state is tied to the presence
of the diatom condensate related to the anomalous density in the system. In
ultracold Bose atomic gases confined on a three-dimensional lattice, the
critical temperature exhibits a quantum phase transition, where
goes to zero at a finite coupling. The BH phase diagram in LOAF features a line
of first-order transitions ending in a critical point beyond which the
transition is second order while approaching the quantum phase transition. We
identify a region where a diatom condensate is expected for temperatures higher
than and less than , the critical temperature of the non-interacting
system. The LOAF phase diagram for the BH model compares qualitatively well
with existing experimental data and results of \emph{ab initio} Monte Carlo
simulations.Comment: 10 pages, 6 figure
Theory for supersolid He
Although both vacancies and interstitial have relatively high activation
energies in the normal solid, we propose that a lower energy bound state of a
vacancy and an interstitial may facilitate vacancy condensation to give
supersolidity in He . We use a phenomenological two-band boson lattice
model to demonstrate this new mechanism and discuss the possible relevance to
the recently observed superfluid-like, non-classical rotational inertial
experiments of Kim and Chan in solid He. Some of our results may also be
applicable to trapped bosons in optical lattices.Comment: 5 pages, 2 figure
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