25,386 research outputs found
Geometrical Expression for the Angular Resolution of a Network of Gravitational-Wave Detectors
We report for the first time general geometrical expressions for the angular
resolution of an arbitrary network of interferometric gravitational-wave (GW)
detectors when the arrival-time of a GW is unknown. We show explicitly elements
that decide the angular resolution of a GW detector network. In particular, we
show the dependence of the angular resolution on areas formed by projections of
pairs of detectors and how they are weighted by sensitivities of individual
detectors. Numerical simulations are used to demonstrate the capabilities of
the current GW detector network. We confirm that the angular resolution is poor
along the plane formed by current LIGO-Virgo detectors. A factor of a few to
more than ten fold improvement of the angular resolution can be achieved if the
proposed new GW detectors LCGT or AIGO are added to the network. We also
discuss the implications of our results for the design of a GW detector
network, optimal localization methods for a given network, and electromagnetic
follow-up observations.Comment: 13 pages, for Phys. Rev.
Classification of Gapped Symmetric Phases in 1D Spin Systems
Quantum many-body systems divide into a variety of phases with very different
physical properties. The question of what kind of phases exist and how to
identify them seems hard especially for strongly interacting systems. Here we
make an attempt to answer this question for gapped interacting quantum spin
systems whose ground states are short-range correlated. Based on the local
unitary equivalence relation between short-range correlated states in the same
phase, we classify possible quantum phases for 1D matrix product states, which
represent well the class of 1D gapped ground states. We find that in the
absence of any symmetry all states are equivalent to trivial product states,
which means that there is no topological order in 1D. However, if certain
symmetry is required, many phases exist with different symmetry protected
topological orders. The symmetric local unitary equivalence relation also
allows us to obtain some simple results for quantum phases in higher dimensions
when some symmetries are present.Comment: 21 pages, 7 figures. Version 2, classification for parity and
translation symmetry update
Artificial Gauge Field and Quantum Spin Hall States in a Conventional Two-dimensional Electron Gas
Based on the Born-Oppemheimer approximation, we divide total electron
Hamiltonian in a spinorbit coupled system into slow orbital motion and fast
interband transition process. We find that the fast motion induces a gauge
field on slow orbital motion, perpendicular to electron momentum, inducing a
topological phase. From this general designing principle, we present a theory
for generating artificial gauge field and topological phase in a conventional
two-dimensional electron gas embedded in parabolically graded
GaAs/InGaAs/GaAs quantum wells with antidot lattices. By tuning
the etching depth and period of antidot lattices, the band folding caused by
superimposed potential leads to formation of minibands and band inversions
between the neighboring subbands. The intersubband spin-orbit interaction opens
considerably large nontrivial minigaps and leads to many pairs of helical edge
states in these gaps.Comment: 9 pages and 4 figure
QHE of Bilayer Systems in the Presence of Tunneling -- case --
Transport properties of bilayer quantum Hall systems at , where
is an odd integer, are investigated. The edge theory is used for the
investigation, since tunneling between the two layers is assumed to occur on
the edge of the sample because of the bulk incompressibility. It is shown that
in the case of the independent Laughlin state tunneling is irrelevant when
in the low temperature and long wave length limit. The temperature
dependence of two-terminal conductance of the system in which only one of the
two layers is contacted with electrode is discussed.Comment: 5 page
Theory of pattern-formation of metallic microparticles in poorly conducting liquid
We develop continuum theory of self-assembly and pattern formation in
metallic microparticles immersed in a poorly conducting liquid in DC electric
field. The theory is formulated in terms of two conservation laws for the
densities of immobile particles (precipitate) and bouncing particles (gas)
coupled to the Navier-Stokes equation for the liquid. This theory successfully
reproduces correct topology of the phase diagram and primary patterns observed
in the experiment [Sapozhnikov et al, Phys. Rev. Lett. v. 90, 114301 (2003)]:
static crystals and honeycombs and dynamic pulsating rings and rotating
multi-petal vortices.Comment: 4 pages, 5 figures, submitted to Phys. Rev. Let
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