4,643 research outputs found
New Darboux Transformation for Hirota-Satsuma coupled KdV System
A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV
system. It is shown that this Darboux transformation can be constructed by
means of two methods: Painlev\'{e} analysis and reduction of a binary Darboux
transformation. By iteration of the Darboux transformation, the Grammian type
solutions are found for the coupled KdV system.Comment: LaTeX 2.09, 10 page
Study of and decays
We study the charmless two-body
and three-body decays. We obtain to agree with the
recent LHCb measurement. However, we find that is unable to explain the
LHCb observation of , which implies the possibility for other
contributions, such as that from the resonant decay with as a higher-wave baryon state. For
, we show that ,
which are consistent with the current data of , respectively. Our results also support the relation of ,
given by the previous study.Comment: 8 pages, 1 figure, revised version accepted by EPJ
Non-leptonic two-body weak decays of
We study the non-leptonic two-body weak decays of with () representing as the baryon (meson) states. Based
on the flavor symmetry, we can describe most of the data reexamined by
the BESIII Collaboration with higher precisions. However, our result of is larger than the
current experimental limit of (90\% C.L.) by BESIII. In
addition, we find that , , and , which are accessible
to the BESIII experiments.Comment: 12 pages, 1 figure, revised version accepted by PL
Evolutionary Subnetworks in Complex Systems
Links in a practical network may have different functions, which makes the
original network a combination of some functional subnetworks. Here, by a model
of coupled oscillators, we investigate how such functional subnetworks are
evolved and developed according to the network structure and dynamics. In
particular, we study the case of evolutionary clustered networks in which the
function of each link (either attractive or repulsive coupling) is updated by
the local dynamics. It is found that, during the process of system evolution,
the network is gradually stabilized into a particular form in which the
attractive (repulsive) subnetwork consists only the intralinks (interlinks).
Based on the properties of subnetwork evolution, we also propose a new
algorithm for network partition which is distinguished by the convenient
operation and fast computing speed.Comment: 4 pages, 4 figure
Unpaired multi-modal segmentation via knowledge distillation
Multi-modal learning is typically performed with network architectures containing modality-specific layers and shared layers, utilizing co-registered images of different modalities. We propose a novel learning scheme for unpaired cross-modality image segmentation, with a highly compact architecture achieving superior segmentation accuracy. In our method, we heavily reuse network parameters, by sharing all convolutional kernels across CT and MRI, and only employ modality-specific internal normalization layers which compute respective statistics. To effectively train such a highly compact model, we introduce a novel loss term inspired by knowledge distillation, by explicitly constraining the KL-divergence of our derived prediction distributions between modalities. We have extensively validated our approach on two multi-class segmentation problems: i) cardiac structure segmentation, and ii) abdominal organ segmentation. Different network settings, i.e., 2D dilated network and 3D U-net, are utilized to investigate our method's general efficacy. Experimental results on both tasks demonstrate that our novel multi-modal learning scheme consistently outperforms single-modal training and previous multi-modal approaches
Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid
We investigate the von Neumann entropy of a block of subsystem for the
valence-bond solid (VBS) state with general open boundary conditions. We show
that the effect of the boundary on the von Neumann entropy decays exponentially
fast in the distance between the subsystem considered and the boundary sites.
Further, we show that as the size of the subsystem increases, its von Neumann
entropy exponentially approaches the summation of the von Neumann entropies of
the two ends, the exponent being related to the size. In contrast to critical
systems, where boundary effects to the von Neumann entropy decay slowly, the
boundary effects in a VBS, a non-critical system, decay very quickly. We also
study the entanglement between two spins.
Curiously, while the boundary operators decrease the von Neumann entropy of L
spins, they increase the entanglement between two spins.Comment: 4 pages, 2 figures. Physical Review B (in press
Quantum Information Approach to Bose-Einstein Condensate in a Tilted Double-Well System
We study the ground state properties of bosons in a tilted double-well
system. We use fidelity susceptibility to identify the possible ground state
transitions under different tilt values. For a very small tilt (for example
), two transitions are found. For a moderate tilt (for example
), only one transition is found. For a large tilt (for example
), no transition is found. We explain this by analyzing the spectrum
of the ground state. The quantum discord and total correlation of the ground
state under different tilts are also calculated to indicate those transitions.
In the transition region, both quantities have peaks decaying exponentially
with particle number . This means for a finite-size system the transition
region cannot be explained by the mean-field theory, but in the large- limit
it can be.Comment: 5 pages, 5 figures, slightly different from the published versio
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