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研究生: 林昱辰
Lin, Yu-Chen
論文名稱: 非平衡態量子糾纏相變
Non-equilibrium quantum phase transition via entanglement decoherence dynamic
指導教授: 張為民
Zhang, Wei-Min
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2016
畢業學年度: 104
語文別: 英文
論文頁數: 44
中文關鍵詞: 量子糾纏非馬可夫量子相變
外文關鍵詞: entanglement, non-markovian, quantum phase transition
相關次數: 點閱:156下載:7
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  • 我們研究系統和環境弱關連和強關連下,非馬可夫量子糾纏動力學。
    當系統和環境在強關連下量子局域態會產生,導致系統和環境最終沒
    辦法達到平衡,而非平衡態的量子相變就會產生。
    我們給定了不同環境頻譜的非馬可夫量子糾纏動力學的解析解,並且
    得到量子糾纏相圖。

    We investigate the non-Markovian decoherence dynamics of continuous variable entanglement as the system-environment coupling strength varies from the weak-coupling regime into the strong-coupling regime.Due to the existence of localized bound states in the strong-coupling regime, the system remains in nonequilibrium, and a nonequilibrium quantum phase transition occurs. We analytically solve the entanglement decoherence dynamics for arbitrary spectral density. The nonequilibrium quantum phase transition is demonstrated as the system-environment coupling strength varies for all the Ohmic-type spectral densities. The entanglement quantum phase diagram is obtained.

    1 Introduction 4 2 Quantum Entanglement overview 7 3 Brief introduction to quantum phase transition 12 4 Exact Non-Markovian master equation and their analytic solutions 14 4.1 Exact bosonic master equation 14 4.2 Decoupled Hamiltonian of two identical cavity field and analytical solution of Green functions 16 5 Analytic solution of entanglement decoherence dynamics for two-mode squeezed state 20 5.1 Time-dependent reduced density matrix for two-mode squeezed state 20 5.2 Quantify entanglement of bipartite Gaussian states with logarithmic negativity 22 6 Nonequilibrium quantum phase transition via entanglement decoherence dynamics 27 7 Summary and Conclusion 38

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