2,890 research outputs found
General Volume-Preserving Mechanical Systems
In this letter, we present the general form of equations that generate a
volume-preserving flow on a symplectic manifold (M, \omega). It is shown that
every volume-preserving flow has some 2-forms acting the role of the
Hamiltonian functions in the Hamiltonian mechanics and the ordinary Hamilton
equations are included as a special case with a 2-form \frac{1}{n-1} H \omega
where H is the corresponding Hamiltonian.Comment: Plain LaTeX, 13 pages, no figure
Temperature at Horizon in de Sitter Spacetime
It is found that there is no period in the imaginary Beltrami-time of the de
Sitter spacetime with Beltrami metric and that the `surface-gravity' in view of
inertial observers in de Sitter spacetime is zero! They show that the horizon
might be at zero temperature in de Sitter spacetime and that the thermal
property of the horizon in the de Sitter spacetime with a static metric should
be analogous to that of the Rindler horizon in Minkowski spacetime.Comment: 7 pages, 1 figur
Hunting for Heavy Majorana Neutrinos with Lepton Number Violating Signatures at LHC
The neutrinophilic two-Higgs-doublet model (2HDM) provides a natural way
to generate tiny neutrino mass from interactions with the new doublet scalar
() and singlet neutrinos of TeV scale. In this
paper, we perform detailed simulations for the lepton number violating (LNV)
signatures at LHC arising from cascade decays of the new scalars and neutrinos
with the mass order . Under constraints from lepton
flavor violating processes and direct collider searches, their decay properties
are explored and lead to three types of LNV signatures: , , and . We
find that the same-sign trilepton signature is quite
unique and is the most promising discovery channel at the high-luminosity LHC.
Our analysis also yields the C.L. exclusion limits in the plane of the
and masses at 13 (14) TeV LHC with an integrated luminosity of
100~(3000)/fb.Comment: 31 pages, 17 figures, 6 tables; v2: added a few refs and updated one
ref, without other change
Effective p-wave interaction and topological superfluids in s-wave quantum gases
P-wave interaction in cold atoms may give rise to exotic topological
superfluids. However, the realization of p-wave interaction in cold atom system
is experimentally challenging. Here we propose a simple scheme to synthesize
effective -wave interaction in conventional -wave interacting quantum
gases. The key idea is to load atoms into spin-dependent optical lattice
potential. Using two concrete examples involving spin-1/2 fermions, we show how
the original system can be mapped into a model describing spinless fermions
with nearest neighbor p-wave interaction, whose ground state can be a
topological superfluid that supports Majorana fermions under proper conditions.
Our proposal has the advantage that it does not require spin-orbit coupling or
loading atoms onto higher orbitals, which is the key in earlier proposals to
synthesize effective -wave interaction in -wave quantum gases, and may
provide a completely new route for realizing -wave topological superfluids.Comment: 5 pages, 4 figure
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