1,307 research outputs found
Equivalence of domains arising from duality of orbits on flag manifolds II
In [GM1], we defined a G_R-K_C invariant subset C(S) of G_C for each
K_C-orbit S on every flag manifold G_C/P and conjectured that the connected
component C(S)_0 of the identity will be equal to the Akhiezer-Gindikin domain
D if S is of nonholomorphic type. This conjecture was proved for closed S in
[WZ1,WZ2,FH,M6] and for open S in [M6]. In this paper, we prove the conjecture
for all the other orbits when G_R is of non-Hermitian type.Comment: 6 pages. Simplified the proof of the main theore
LHC Tests of Light Neutralino Dark Matter without Light Sfermions
We address the question how light the lightest MSSM neutralino can be as dark
matter candidate in a scenario where all supersymmetric scalar particles are
heavy. The hypothesis that the neutralino accounts for the observed dark matter
density sets strong requirements on the supersymmetric spectrum, thus providing
an handle for collider tests. In particular for a lightest neutralino below 100
GeV the relic density constraint translates into an upper bound on the Higgsino
mass parameter in case all supersymmetric scalar particles are heavy. One
can define a simplified model that highlights only the necessary features of
the spectrum and their observable consequences at the LHC. Reinterpreting
recent searches at the LHC we derive limits on the mass of the lightest
neutralino that, in many cases, prove to be more constraining than dark matter
experiments themselves.Comment: 22 pages, 8 figure
Absorption-Fluctuation Theorem for Nuclear Reactions: Brink-Axel, Incomplete Fusion and All That
We discuss the connection between absorption, averages and fluctuations in
nuclear reactions. The fluctuations in the entrance channel result in the
compound nucleus, Hauser-Feshbach, cross section, the fluctuations in the
intermediate channels, result in modifications of multistep reaction cross
sections, while the fluctuations in the final channel result in hybrid cross
sections that can be used to describe incomplete fusion reactions. We discuss
the latter in details and comment on the validity of the assumptions used in
the develpoment of the Surrogate method. We also discuss the theory of
multistep reactions with regards to intermediate state fluctuations and the
energy dependence and non-locality of the intermediate channels optical
potentials.Comment: 9 pages. Contribution to the International Workshop on
Compound-Nuclear Reactions and Related Topics (CNR*2007), October 22-26,
2007, Fish Camp, California. To be published in AIP Proceedings (Editor Jutta
Escher
Experimental Realization of a Relativistic Harmonic Oscillator
We report the experimental study of a harmonic oscillator in the relativistic
regime. The oscillator is composed of Bose-condensed lithium atoms in the third
band of an optical lattice, which have an energy-momentum relation nearly
identical to that of a massive relativistic particle, with an effective mass
reduced below the bare value and a greatly reduced effective speed of light.
Imaging the shape of oscillator trajectories at velocities up to 98% of the
effective speed of light reveals a crossover from sinusoidal to nearly
photon-like propagation. The existence of a maximum velocity causes the
measured period of oscillations to increase with energy; our measurements
reveal beyond-leading-order contributions to this relativistic anharmonicity.
We observe an intrinsic relativistic dephasing of oscillator ensembles, and a
monopole oscillation with exactly the opposite phase of that predicted for
non-relativistic harmonic motion. All observed dynamics are in quantitative
agreement with longstanding but hitherto-untested relativistic predictions.Comment: 10 pages; 4 figure
Entanglement Measures for Intermediate Separability of Quantum States
We present a family of entanglement measures R_m which act as indicators for
separability of n-qubit quantum states into m subsystems for arbitrary 2 \leq m
\leq n. The measure R_m vanishes if the state is separable into m subsystems,
and for m = n it gives the Meyer-Wallach measure while for m = 2 it reduces, in
effect, to the one introduced recently by Love et al. The measures R_m are
evaluated explicitly for the GHZ state and the W state (and its modifications,
the W_k states) to show that these globally entangled states exhibit rather
distinct behaviors under the measures, indicating the utility of the measures
R_m for characterizing globally entangled states as well.Comment: 8 pages, 8 figure
Observation and uses of position-space Bloch oscillations in an ultracold gas
We report the direct observation and characterization of position-space Bloch
oscillations using an ultracold gas in a tilted optical lattice. While Bloch
oscillations in momentum space are a common feature of optical lattice
experiments, the real-space center-of-mass dynamics are typically too small to
resolve. Tuning into the regime of rapid tunneling and weak force, we observe
real-space Bloch oscillation amplitudes of hundreds of lattice sites, in both
ground and excited bands. We demonstrate two unique capabilities enabled by
tracking of Bloch dynamics in position space: measurement of the full
position-momentum phase-space evolution during a Bloch cycle, and direct
imaging of the lattice band structure. These techniques, along with the ability
to exert long-distance coherent control of quantum gases without modulation,
may open up new possibilities for quantum control and metrology.Comment: 5 pages, 6 figure
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