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Quantum-mechanical cumulant dynamics near stable periodic orbits in phase space : application to the classical-like dynamics of quantum accelerator modes.

机译：相空间中稳定周期轨道附近的量子力学累积动力学：应用于量子加速器模式的经典动力学。

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We formulate a general method for the study of semiclassical-like dynamics in stable regions of a mixed phase space, in order to theoretically study the dynamics of quantum accelerator modes. In the simplest case, this involves determining solutions, which are stable when constrained to remain pure-state Gaussian wave packets, and then propagating them using a cumulant-based formalism. Using this methodology, we study the relative longevity, under different parameter regimes, of quantum accelerator modes. Within this attractively simple formalism, we are able to obtain good qualitative agreement with exact wave-function dynamics.

机译：为了在理论上研究量子加速器模式的动力学，我们制定了一种在混合相空间的稳定区域中研究半经典类动力学的通用方法。在最简单的情况下，这涉及确定受约束以保持纯态高斯波包时稳定的解决方案，然后使用基于累积量的形式主义对它们进行传播。使用这种方法，我们研究了量子加速器模式在不同参数机制下的相对寿命。在这种吸引人的简单形式主义中，我们能够获得精确的波动函数动力学的良好定性一致性。

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Bach R.; Burnett K.; dArcy M. B.; Gardiner S. A.;
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年度 2005
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正文语种 {"code":"en","name":"English","id":9}
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1. Quantum-mechanical cumulant dynamics near stable periodic orbits in phase space: Application to the classical-like dynamics of quantum accelerator modes [J] . Bach R, Burnett K, dArcy MB, Physical Review, A. Atomic, molecular, and optical physics . 2005,第3期

机译：相空间中稳定周期轨道附近的量子力学累积动力学：在量子加速器模式的经典动力学中的应用
2. Quantum-mechanical cumulant expansions and their application to phase-space and to phase distributions [J] . Wuensche A. Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2015,第7期

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3. Theory and applications of the systematic detection of unstable periodic orbits in dynamical systems [J] . Pingel D., Diakonos FK., Biham O., Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2000,第2aPta1期

机译：动力系统中不稳定周期轨道的系统检测理论与应用
4. Control Methods on Unstable Periodic Orbits of a Chaotic Dynamical System - Control Chaos in Buck Converter [C] . Cosmin IVAN, Alexandru Serbanescu International Conference on Optimization of Electrical and Electronic Equipment . 2008

机译：降压转换器混沌动力系统控制混沌不稳定周期轨道的控制方法
5. Physics of Hexagonal Limit-Periodic Phases: Thermodynamics, Formation, and Vibrational Modes. [D] . Belley, Catherine Cronin Marcoux. 2016

机译：六角极限周期相的物理：热力学，形成和振动模式。
6. Phase-space mixing in dynamically unstable integrable few-mode quantum systems [O] . R. Mathew, E. Tiesinga -1

机译：动态不稳定可积分的少模量子系统中的相空间混合
7. Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes [O] . Bach, R., Burnett, K., d'Arcy, M. B., 2004

机译：大气稳定周期轨道附近的量子力学累积动力学相空间：应用于量子的经典动力学加速器模式

Quantum-mechanical cumulant dynamics near stable periodic orbits in phase space : application to the classical-like dynamics of quantum accelerator modes.

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