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

Bach R; Burnett K; dArcy MB; Gardiner SA

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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：在量子加速器模式的经典动力学中的应用

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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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《Physical Review, A. Atomic, molecular, and optical physics》 |2005年第3期|共20页
作者
Bach R; Burnett K; dArcy MB; Gardiner SA;
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正文语种 eng
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DELTA-KICKED ROTOR; ATOM-OPTICS BILLIARDS; WAVE-PACKET DYNAMICS; MOMENTUM DISTRIBUTIONS; SEMICLASSICAL DYNAMICS; STANDING-WAVE; CHAOS; LOCALIZATION; SYSTEM; DECOHERENCE;

机译：三角翼转子;原子弹架;波包动力学;动量分布;半经典动力学;驻波;杂散;局部化;系统;退相干;

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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. 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
3. Phase-space mixing in dynamically unstable, integrable few-mode quantum systems [J] . R. Mathew, E. Tiesinga Physical Review, A . 2017,第1aPta2期

机译：动态不稳定，可集成的少量量子系统中的相空间混合
4. Methods for detailed modeling of the longitudinal phase space dynamics for beams in cyclic accelerators [C] . Stahl, S., MacLachlan, . 1989

机译：循环加速器中光束纵向相空间动力学详细建模的方法
5. Metastable Phases and Dynamics of Low-Dimensional Strongly-Correlated Atomic Quantum Gases [D] . Pielawa, Susanne. 2011

机译：低维强相关原子量子气体的亚稳态相和动力学
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., dArcy M. B., 2005

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。

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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