27 research outputs found

    Structure and time-dependence of quantum breathers

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    Quantum states of a discrete breather are studied in two ways. One method involves numerical diagonalization of the Hamiltonian, the other uses the path integral to examine correlations in the eigenstates. In both cases only the central nonlinearity is retained. To reduce truncation effects in the numerical diagonalization, a basis is used that involves a quadratic local mode. A similar device is used in the path integral method for deducing localization. Both approaches lead to the conclusion that aside from quantum tunneling the quantized discrete breather is stable.Comment: 33 pages, 20 figures, to appear in J. Chem. Phy

    Discrete breathers in ϕ4\phi^4 and related models

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    We touch upon the wide topic of discrete breather formation with a special emphasis on the the ϕ4\phi^4 model. We start by introducing the model and discussing some of the application areas/motivational aspects of exploring time periodic, spatially localized structures, such as the discrete breathers. Our main emphasis is on the existence, and especially on the stability features of such solutions. We explore their spectral stability numerically, as well as in special limits (such as the vicinity of the so-called anti-continuum limit of vanishing coupling) analytically. We also provide and explore a simple, yet powerful stability criterion involving the sign of the derivative of the energy vs. frequency dependence of such solutions. We then turn our attention to nonlinear stability, bringing forth the importance of a topological notion, namely the Krein signature. Furthermore, we briefly touch upon linearly and nonlinearly unstable dynamics of such states. Some special aspects/extensions of such structures are only touched upon, including moving breathers and dissipative variations of the model and some possibilities for future work are highlighted

    Low temperature delayed recombination and trap tunneling

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    Optical properties of Ce3+Ce^{3+}-doped KLuS2KLuS_{2} phosphor

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    KLuS2 single crystals doped with trivalent cerium were synthesized in the form of crystalline hexagonal platelets. VUV/UV/VIS absorption and luminescence characteristics were measured in the broad temperature and concentration intervals. The band edge of KLuS2 is found at 303 nm, Ce3+ 4f–5d excitation band at 490 nm and Ce3+ emission at 580 nm with the 35 ns decay time. Both thermal and concentration quenching of the Ce3+ emission are investigated. Phenomenological modeling and delayed recombination decays measurement are employed to understand the Ce3+ excited state dynamics. The application potential in X-ray phosphors is discussed

    Luminescence and scintillation properties of YAG:Ce single crystal and optical ceramics

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    We use various techniques to study optical and scintillation properties of Ce-doped yttrium aluminum garnet, Y3Al5O12 (YAG:Ce), in the form of a high-quality industrial single crystal. This was compared to optical ceramics prepared from YAG:Ce nanopowders. We present experimental data in the areas of optical absorption, radioluminescence, scintillation decay, photoelectron yield, thermally stimulated luminescence and radiation-induced absorption. The results point to an interesting feature—the absence of antisite (YAl, i.e. Y at the Al site) defects in optical ceramics. The scintillation decay of the ceramics is faster than that of the single crystal, but its photoelectron yield (measured with 1 μs integration time) is about 30–40% lower. Apart from the photoelectron yield value the YAG:Ce optical ceramic is fully comparable to a high quality industrial YAG:Ce single crystal and can become a competitive scintillator material
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