Browsing by Author "Lin, W. -W."

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PERTURBATION RESULTS RELATED TO PALINDROMIC EIGENVALUE PROBLEMS
(2008-07-01)
Chu, E. K. -W.
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Lin, W. -W.
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Wang, C. -S.
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應用數學系
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Department of Applied Mathematics
We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P(lambda) = lambda(2) A(1)* + lambda A(0) + A(1) with A(0), A(1) is an element of C(nxn) and A(0)* = A(0) (where * = T or H). The perturbation of eigenvalues in the context of general matrix polynomials, palindromic pencils, (semi-Schur) anti-triangular canonical forms and differentiation is discussed.
Special issue dedicated to Biswa Nath Datta on the occasion of his 70th birthday
(2013-03-01)
Chu, E. K-W.
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Lin, W. -W.
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Reichel, L.
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應用數學系
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Department of Applied Mathematics
Stochastic growth dynamics and composite defects in quenched immiscible binary condensates
(2016-02-18)
Liu, I. -K.
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Pattinson, R. W.
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Billam, T. P.
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Gardiner, S. A.
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Cornish, S. L.
We study the sensitivity of coupled condensate formation dynamics on the history of initial stochastic domain formation in the context of instantaneously quenched elongated harmonically trapped immiscible two-component atomic Bose gases. The spontaneous generation of defects in the fastest condensing component, and subsequent coarse-graining dynamics, can lead to a deep oscillating microtrap into which the other component condenses, thereby establishing a long-lived composite defect in the form of a dark-bright solitary wave. We numerically map out diverse key aspects of these competing growth dynamics, focusing on the role of shot-to-shot fluctuations and global parameter changes (initial state choices, quench parameters, and condensate growth rates), with our findings also qualitatively confirmed by realistic finite-duration quenches. We conclude that phase-separated structures observable on experimental time scales are likely to be metastable states whose form is influenced by the stability and dynamics of the spontaneously emerging dark-bright solitary wave.