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首页> 外文会议>ASME(American Society of Mechanical Engineers) International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2005(DETC2005) vol.1: Biennial Conference on Mechanical Vibration and Noisen pt.A; 20050924-28; >QUANTUM CHAOS AND QUANTUM FRACTALS WITH ATOMS AND PHOTONS IN A MICROCAVITY
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QUANTUM CHAOS AND QUANTUM FRACTALS WITH ATOMS AND PHOTONS IN A MICROCAVITY

机译：微腔中具有原子和光子的量子混沌和量子分数

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摘要

Nonlinear dynamics in the fundamental interaction between a two-level atom with recoil and a quantized radiation field in a high-quality microcavity is studied. We consider the strongly coupled atom-field system as a quantum-classical hybrid with dynamically coupled quantum and classical egrees of freedom. We show that, even in the absence of any other interaction with environment, the coupling of quantum and classical degrees of freedom provides the emergence of classical dynamical chaos from quantum electrodynamics. It manifest itself in the atomic external degree of freedom as a random walking of an atom inside a cavity with a prominent fractal-like behavior and in the quantum atom-filed degrees of freedom as a sensitive dependence of atomic inversion on small variations in initial conditions. It is shown that dependences of variance of quantum entanglement and of the maximum Lyapunov exponent on the detuning of the atom-field resonance correlate strongly. This result provides a quantum-classical correspondence in a closed physical system.
机译：研究了高能微腔中带反冲力的两级原子与量化辐射场之间基本相互作用的非线性动力学。我们将强耦合原子场系统视为具有动态耦合量子和经典自由度的量子经典混合体。我们证明，即使在没有与环境的任何其他相互作用的情况下，量子和经典自由度的耦合也提供了来自量子电动力学的经典动力学混沌的出现。它以原子的外部自由度表现为原子在具有显着分形行为的腔体内随机行走，并以量子原子产生的自由度表现为原子反转对初始条件的微小变化的敏感依赖性。 。结果表明，量子纠缠和最大李雅普诺夫指数的方差与原子场共振失谐的关系密切相关。该结果在封闭的物理系统中提供了量子经典关系。

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