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研究生: 姜楷珽
Chaing, Kai-Ting
論文名稱: 自旋熱庫下的腔量子電動力學的非馬可夫退相干動力學
Non-Markovian decoherence dynamics of cavity QED coupled strongly with spin ensemble
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: 2020
畢業學年度: 108
語文別: 英文
論文頁數: 50
中文關鍵詞: 開放量子系統退相干動力學自旋浴的玻色子化兩時間相關量子記憶
外文關鍵詞: open quantum systems, decoherence dynamics, bosonization of spin bath, two-time correlations, quantum memory
相關次數: 點閱:181下載:20
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  • 受近期實驗開發的啟發,我們使用主方程法研究了在外場驅動下腔量子電動力學與自旋系粽強烈耦合的非馬爾可夫退相干動力學。我們針對開放系統的量子理論完全描述了實驗的去相干結果。我們還通過研究該腔系統中的二次相關來探索可能的量子記憶效應。我們進一步展示了量子漲落如何影響腔系統的記憶。

    Inspired by the recent experimental development, we use the master equation approach to investigate the non-Markovian decoherence dynamics of cavity QED coupled strongly with a spin ensemble under the external field driving. Our quantum theory for open systems depicts completely the experimental decoherence results. We also explore the possible quantum memory effects through the study of two-time correlations in this cavity system. We further show how quantum fluctuation affects the memory of the cavity system.

    Abstract i Chinese abstract ii Acknowledgements iii Contents iv List of Figures v 1 Introduction 1 1.1 Quantum decoherence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Quantum memory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Thesis overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 Theory of decoherence dynamics in cavity QED systems 5 2.1 Master equation approach . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Tavis-Cummings model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Quantum information storage in cavity QED systems . . . . . . . . . . . . 6 3 Dynamics of cavity QED systems 10 3.1 Derivation of the master equation . . . . . . . . . . . . . . . . . . . . . . . 10 3.2 Heisenberg's equation of motion . . . . . . . . . . . . . . . . . . . . . . . . 14 3.3 Correlation functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 4 Result and analysis 18 4.1 Dissipative cavity QED dynamics . . . . . . . . . . . . . . . . . . . . . . . 18 4.2 Dissipationless cavity QED dynamics . . . . . . . . . . . . . . . . . . . . . 24 4.3 Time correlation functions & quantum memory e ects . . . . . . . . . . . 31 5 Conclusion 38 A Correctness of the coecients in the master equation 39 B Explicit expression of g(2)(t;  ) correlation function 42 Bibliography 46

    [1] Protecting a spin ensemble against decoherence in the strong-coupling regime of cavity QED.
    [2] Spectral hole burning and its application in microwave photonics.
    [3] Algorithms for quantum computation: Discrete logarithms and factoring.
    [4] A fast quantum mechanical algorithm for database search.
    [5] Strong magnetic coupling of an ultracold gas to a superconducting waveguide cavity.
    [6] Hybrid quantum processors: Molecular ensembles as quantum memory for solid state circuits.
    [7] Cavity QED based on collective magnetic dipole coupling: Spin ensembles as hybrid two-level systems.
    [8] Quantum computing with an electron spin ensemble.
    [9] On Quantum Theory of Transport Phenomena: Steady Diffusion.
    [10] Ensemble method in the theory of irreversibility.
    [11] Quantum tunneling in a dissipative system.
    [12] Non-equilibrium quantum theory for nanodevices based on the Feynman–Vernon influence functional.
    [13] A quantum photonic dissipative transport theory.
    [14] Resonance absorption by nuclear magnetic moments in a solid.
    [15] Spectroscopic properties of inhomogeneously broadened spin ensembles in a cavity.
    [16] Strongly coupling a cavity to inhomogeneous ensembles of emitters: Potential for long-lived solid-state quantum memories.
    [17] Non-Markovian dynamics of a single-mode cavity strongly coupled to an inhomogeneously broadened spin ensemble.
    [18] Observation of self-induced rabi oscillations in two-level atoms excited inside a resonant cavity: The ringing regime of superradiance.
    [19] Optical quantum memory.
    [20] Multimodal properties and dynamics of gradient echo quantum memory.
    [21] Multimode quantum memory based on atomic frequency combs.
    [22] Exact solution for an N-molecule—radiation-field hamiltonian.
    [23] General non-Markovian dynamics of open quantum systems.
    [24] Non-Markovianity measure using two-time correlation functions.
    [25] Coherent states: Theory and some applications.
    [26] Non-markovian decoherence theory for a double-dot charge qubit.
    [27] Precision control of charge coherence in parallel double dot systems through spin-orbit interaction.
    [28] Transient current-current correlations and noise spectra.
    [29] Exact decoherence dynamics of 1/f noise.
    [30] Master equation approach to transient quantum transport in nanostructures incorporating initial correlations.
    [31] Breakdown of Bose-Einstein distribution in photonic crystals.
    [32] Non-Markovian complexity in the quantum-to-classical transition.
    [33] Buildup of fano resonances in the time domain in a double quantum dot Aharonov-Bohm interferometer.
    [34] Exact master equation and non-markovian decoherence dynamics of Majorana zero modes under gate-induced charge fluctuations.
    [35] Solid-state electronic spin coherence time approaching one second.
    [36] Field dependence of the intrinsic domain magnetization of a ferromagnet.
    [37] The theory of a general quantum system interacting with a linear dissipative system.

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