38,352 research outputs found
Internal Josephson Effects in Spinor Dipolar Bose--Einstein Condensates
We theoretically study the internal Josephson effect, which is driven by spin
exchange interactions and magnetic dipole-dipole interactions, in a three-level
system for spin-1 Bose--Einstein condensates, obtaining novel spin dynamics. We
introduce single spatial mode approximations into the Gross--Pitaevskii
equations and derive the Josephson type equations, which are analogous to
tunneling currents through three junctions between three superconductors. From
an analogy with two interacting nonrigid pendulums, we identify unique varied
oscillational modes, called the 0--, 0--, --,
2n\pi & running--, , and phase modes. These Josephson modes in the three states are expected
to be found in real atomic Bose gas systems.Comment: 9 pages, 13 figure
Hole maximum density droplets of an antidot in strong magnetic fields
We investigate a quantum antidot in the integer quantum Hall regime (the
filling factor is two) by using a Hartree-Fock approach and by transforming the
electron antidot into a system which confines holes via an electron-hole
transformation. We find that its ground state is the maximum density droplet of
holes in certain parameter ranges. The competition between electron-electron
interactions and the confinement potential governs the properties of the hole
droplet such as its spin configuration. The ground-state transitions between
the droplets with different spin configurations occur as magnetic field varies.
For a bell-shape antidot containing about 300 holes, the features of the
transitions are in good agreement with the predictions of a recently proposed
capacitive interaction model for antidots as well as recent experimental
observations. We show this agreement by obtaining the parameters of the
capacitive interaction model from the Hartree-Fock results. An inverse
parabolic antidot is also studied. Its ground-state transitions, however,
display different magnetic-field dependence from that of a bell-shape antidot.
Our study demonstrates that the shape of antidot potential affects its physical
properties significantly.Comment: 12 pages, 11 figure
Dynamical properties of a trapped dipolar Fermi gas at finite temperature
We investigate the dynamical properties of a trapped finite-temperature
normal Fermi gas with dipole-dipole interaction. For the free expansion
dynamics, we show that the expanded gas always becomes stretched along the
direction of the dipole moment. In addition, we present the temperature and
interaction dependences of the asymptotical aspect ratio. We further study the
collapse dynamics of the system by suddenly increasing the dipolar interaction
strength. We show that, in contrast to the anisotropic collapse of a dipolar
Bose-Einstein condensate, a dipolar Fermi gas always collapses isotropically
when the system becomes globally unstable. We also explore the interaction and
temperature dependences for the frequencies of the low-lying collective
excitations.Comment: 11 pages, 7 figure
Modified dispersion relations and black hole physics
A modified formulation of energy-momentum relation is proposed in the context
of doubly special relativity. We investigate its impact on black hole physics.
It turns out that such modification will give corrections to both the
temperature and the entropy of black holes. In particular this modified
dispersion relation also changes the picture of Hawking radiation greatly when
the size of black holes approaching the Planck scale. It can prevent black
holes from total evaporation, as a result providing a plausible mechanism to
treat the remnant of black holes as a candidate for dark matter.Comment: 4 pages, Revtex. Final version to appear in PR
Better age estimations using UV-optical colours: breaking the age-metallicity degeneracy
We demonstrate that the combination of GALEX UV photometry in the FUV (~1530
angstroms) and NUV (~2310 angstroms) passbands with optical photometry in the
standard U,B,V,R,I filters can efficiently break the age-metallicity
degeneracy. We estimate well-constrained ages, metallicities and their
associated errors for 42 GCs in M31, and show that the full set of
FUV,NUV,U,B,V,R,I photometry produces age estimates that are ~90 percent more
constrained and metallicity estimates that are ~60 percent more constrained
than those produced by using optical filters alone. The quality of the age
constraints is comparable or marginally better than those achieved using a
large number of spectrscopic indices.Comment: Published in MNRAS (2007), 381, L74 (doi:
10.1111/j.1745-3933.2007.00370.x
The Schwinger Mechanism, the Unruh Effect and the Production of Accelerated Black Holes
We compute the corrections to the transition amplitudes of an accelerated
Unruh ``box'' that arise when the accelerated box is replaced by a ``two level
ion'' immersed in a constant electric field and treated in second quantization.
There are two kinds of corrections, those due to recoil effects induced by the
momentum transfers and those due to pair creation. Taken together, these
corrections show that there is a direct relationship between pair creation
amplitudes described by the Heisenberg-Euler-Schwinger mechanism and the Unruh
effect, i.e. the thermalisation of accelerated systems at temperature where is the acceleration. In particular, there is a thermodynamical
consistency between both effects whose origin is that the euclidean action
governing pair creation rates acts as an entropy in delivering the Unruh
temperature. Upon considering pair creation of charged black holes in an
electric field, these relationships explain why black holes are created from
vacuum in thermal equilibrium, i.e. with their Hawking temperature equal to
their Unruh temperature.Comment: Revised version: expanded introduction and discussion of pair
creation of black holes, 2figures added, 22 pages, Late
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