1,573 research outputs found
Wigner crystal induced by dipole-dipole interaction in one-dimensional optical lattices
We demonstrate that the static structure factor, momentum distribution and
density distribution provide clear signatures of the emergence of Wigner
crystal for the fermionic dipolar gas with strongly repulsive dipole-dipole
interactions trapped in one-dimensional optical lattices. Our numerical
evidences are based on the exact diagonalization of the microscopic effective
lattice Hamiltonian of few particles interacting with long-range interactions.
As a comparison, we also study the system with only nearest-neighbor
interactions, which displays quite different behaviors from the dipolar system
in the regime of strong repulsion.Comment: 5 pages, 5 figure
Multi-objective particle swarm optimization algorithm for multi-step electric load forecasting
As energy saving becomes more and more popular, electric load forecasting has played a more and more crucial role in power management systems in the last few years. Because of the real-time characteristic of electricity and the uncertainty change of an electric load, realizing the accuracy and stability of electric load forecasting is a challenging task. Many predecessors have obtained the expected forecasting results by various methods. Considering the stability of time series prediction, a novel combined electric load forecasting, which based on extreme learning machine (ELM), recurrent neural network (RNN), and support vector machines (SVMs), was proposed. The combined model first uses three neural networks to forecast the electric load data separately considering that the single model has inevitable disadvantages, the combined model applies the multi-objective particle swarm optimization algorithm (MOPSO) to optimize the parameters. In order to verify the capacity of the proposed combined model, 1-step, 2-step, and 3-step are used to forecast the electric load data of three Australian states, including New South Wales, Queensland, and Victoria. The experimental results intuitively indicate that for these three datasets, the combined model outperforms all three individual models used for comparison, which demonstrates its superior capability in terms of accuracy and stability
Reveal quantum correlation in complementary bases
An essential feature of genuine quantum correlation is the simultaneous
existence of correlation in complementary bases. We reveal this feature of
quantum correlation by defining measures based on invariance under a basis
change. For a bipartite quantum state, the classical correlation is the maximal
correlation present in a certain optimum basis, while the quantum correlation
is characterized as a series of residual correlations in the mutually unbiased
bases. Compared with other approaches to quantify quantum correlation, our
approach gives information-theoretical measures that directly reflect the
essential feature of quantum correlation.Comment: 7 pages, 4 figure
A combinatorial criterion for k-separability of multipartite Dicke states
We derive a combinatorial criterion for detecting k-separability of N-partite
Dicke states. The criterion is efficiently computable and implementable without
full state tomography. We give examples in which the criterion succeeds, where
known criteria fail
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