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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference >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：量子混沌和量子分形与微腔中的原子和光子

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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：研究了在高质量微腔中具有反冲和量化辐射场的两级原子之间的基本相互作用的非线性动态。我们认为强烈耦合的原子场系统作为一种量子古典杂交，具有动态耦合量子和古典的自由度。我们表明，即使在没有与环境中的任何其他相互作用的情况下，量子和古典自由度的耦合也可以从量子电动力学提供经典动态混沌的出现。它在原子外部自由度中表现为腔内的原子的随机行走，具有突出的分形行为，并且量子原子归档的自由度作为原子反转对初始条件的小变化的敏感依赖性。结果表明，量子缠结的差异和最大Lyapunov指数对原子场共振失去的差异强烈相关。该结果在闭合物理系统中提供了量子古典对应关系。

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