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    Entanglement in a Bipartite Gaussian State


    Ghesquière, Anne (2009) Entanglement in a Bipartite Gaussian State. PhD thesis, National University of Ireland Maynooth.

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    Abstract

    To examine the loss of entanglement in a two-particle Gaussian system, we couple it to an environment and use the Non-Rotating Wave master equation to study the system's dynamics. We also present a derivation of this equation. We consider two di�fferent types of evolution. Under free evolution we �and that entanglement is lost quickly between the particles. When a harmonic potential is added between the particles, two very different behaviours can be observed, namely in the over and under-damped cases respectively, where the strength of the damping is determined by how large the coupling to the bath is with respect to the frequency of the potential. In the over-damped case, we �nd that the entanglement vanishes at even shorter times than it does in the free evolution. In the (very) under-damped case, we observe that the entanglement does not vanish. Instead it oscillates towards a stable value

    Item Type: Thesis (PhD)
    Keywords: Bipartite Gaussian State;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 2288
    Depositing User: IR eTheses
    Date Deposited: 30 Nov 2010 14:47
    URI:

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