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Item type:Item, Instability of a spontaneously formed multiple-flux vortex in polariton condensates(2015-07-01) ;Chen, Ting-Wei ;Cheng, Szu-Cheng ;Hsieh, Wen-Feng ;光電工程學系Department of PhotonicsA spontaneously formed vortex can occur in an incoherently pumped microcavity-polariton condensate which is a non-equilibrium system. The stability of this vortex depends on the flux quanta that the vortex owns. In this paper, we have investigated the dynamics of spontaneously formed vortices with multiple-flux quanta in incoherently pumped microcavity-polariton condensates. From the excitation spectra of a spontaneously formed vortex, we can study the stability of the vortex under different pump strength. The vortices with flux quanta less than four are dynamically stable within a wide range of pump strength. However, when the flux quanta of a vortex is greater than three and the pump power is above a critical pump strength, some imaginary parts of excitation modes of the vortex become positive. The vortex then becomes dynamically unstable and Lends to split into several vortices with smaller flux quanta. (C) 2015 Elsevier Ltd. All rights reserved.Item type:Item, Phase diagram of microcavity polariton condensates with a harmonic potential trap(2014-01-01) ;Chen, Ting-Wei ;Wei, Ming-Dar ;Cheng, Szu-Cheng ;Hsieh, Wen-Feng光電工程學系We theoretically explore the phase transition in inhomogeneous exciton-polariton condensates with variable pumping conditions. Through Bogoliubov excitations to the radial-symmetric solutions of complex Gross-Pitaevskii equation, we determine not only the bifurcation of stable and unstable modes by the sign of fluid compressibility but also two distinct stable modes which are characterized by the elementary excitations and the stability of singly quantized vortex. One state is the quasi-condensate BKT phase with Goldstone flat dispersion; the other state is the localized-BEG phase which exhibits linear-type dispersion and has an excitation energy gap at zero momentum. (C) 2013 Elsevier Ltd. All rights reserved.Item type:Item, Stability and excitations of spontaneous vortices in polariton condensates(2013-07-01) ;Chen, Ting-Wei ;Chiang, Yu-Ling ;Cheng, Szu-Cheng ;Hsieh, Wen-Feng光電工程學系We study the dynamics of spontaneously formed vortices in incoherently pumped homogeneous microcavity polariton condensates (MPC). We find vortices are stable and appear spontaneously without stirring or rotating MPCs by the numerical modeling using complex Gross-Pitaevskii equation. The center of the vortex core contains some background of reservoir polaritons and the visibility increases with the pump strength. The vortex radius is inversely proportional to the square root of the condensate density or the pump strength. Finally, vortices formed by low pumping power exhibit short lifetime because of the existence of excitations without costing energy. (c) 2013 Elsevier Ltd. All rights reserved.