14,503 research outputs found
The rectified n-harmonic map flow with applications to homotopy classes
We introduce a rectified -harmonic map flow from an n-dimensional closed
Riemannian manifold to another closed Riemannian manifold. We prove existence
of a global solution, which is regular except for a finite number of points, of
the rectified n-harmonic map flow and establish an energy identity for the flow
at each singular time. Finally, we present two applications of the rectified
n-harmonic map flow to minimizing the n-energy functional and the Dirichlet
energy functional in a homotopy class.Comment: 29 pages. A revised versio
Generating Hermite polynomial excited squeezed states by means of conditional measurements on a beam splitter
A scheme for conditional generating a Hermite polynomial excited squeezed
vacuum states (HESVS) is proposed. Injecting a two-mode squeezed vacuum state
(TMSVS) into a beam splitter (BS) and counting the photons in one of the output
channels, the conditional state in the other output channel is just a HESVS. To
exhibit a number of nonclassical effects and non-Guassianity, we mainly
investigate the photon number distribution, sub-Poissonian distribution,
quadrature component distribution, and quasi-probability distribution of the
HPESVS. We find that its nonclassicality closely relates to the control
parameter of the BS, the squeezed parameter of the TMSVS, and the photon number
of conditional measurement. These further demonstrate that performing the
conditional measurement on a BS is an effective approach to generate
non-Guassian state.Comment: 8 pages, 8 figures. arXiv admin note: text overlap with
arXiv:quant-ph/9703039 by other author
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