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首页> 外文期刊>Physics Reports: A Review Section of Physics Letters (Section C) >Beyond the Floquet theorem: generalized Floquet formalisms and quasienergy methods for atomic and molecular multiphoton processes in intense laser fields [Review]
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Beyond the Floquet theorem: generalized Floquet formalisms and quasienergy methods for atomic and molecular multiphoton processes in intense laser fields [Review]

机译:超越浮球定理:强激光场中原子和分子多光子过程的广义浮球形式论和准能方法[综述]

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The advancement of high-power and short-pulse laser technology in the past two decades has generated considerable interest in the study of multiphoton and very high-order nonlinear optical processes of atomic and molecular systems in intense and superintense laser fields, leading to the discovery of a host of novel strong-field phenomena which cannot be understood by the conventional perturbation theory. The Floquet theorem and the time-independent Floquet Hamiltonian method are powerful theoretical framework for the study of bound-bound multiphoton transitions driven by periodically time-dependent fields. However, there are a number of significant strong-field processes cannot be directly treated by the conventional Floquet methods. In this review article, we discuss several recent developments of generalized Floquet theorems, formalisms, and quasienergy methods, beyond the conventional Floquet theorem, for accurate nonperturbative treatment of a broad range of strong-field atomic and molecular processes and phenomena of current interests. Topics covered include (a) artificial intelligence (AI)-most-probable-path approach (MPPA) for effective treatment of ultralarge Floquet matrix problem; (b) non-Hermitian Floquet formalisms and complex quasienergy methods for nonperturbative treatment of bound-free and free-free processes such as multiphoton ionization (MPI) and above-threshold ionization (ATI) of atoms and molecules, multiphoton dissociation (MPD) and above-threshold dissociation (ATD) of molecules, chemical bond softening and hardening, charge-resonance enhanced ionization (CREI) of molecular ions, and multiple high-order harmonic generation (HHG), etc.; (c) many-mode Floquet theorem (MMFT) for exact treatment of multiphoton processes in multi-color laser fields with nonperiodic time-dependent Hamiltonian; (d) Floquet-Liouville supermatrix (FLSM) formalism for exact nonperturbative treatment of time-dependent Liouville equation (allowing for relaxations and dephasing mechanisms) and high-order nonlinear optical processes (such as intensity-dependent nonlinear optical susceptibilities and multiphoton resonance fluorescence, etc.); (e) generalized Floquet approaches for the treatment of nonadiabatic and complex geometric phases involving multiphoton transitions; (f) generalized Floquet techniques for the treatment of multiphoton processes in intense laser pulse fields with nonperiodic time-dependent Hamiltonians; (g) Floquet formulations of time-dependent density functional theory (DFT) and time-dependent current DFT for nonperturbative treatment of multiphoton processes of many-electron quantum systems in periodic or polychromatic (quasiperiodic) laser fields. For each generalized Floquet approach, we present also the corresponding development of new computational techniques for facilitating the study of strong-field processes and phenomena. The advancement of these generalized Floquet formalisms and quasienergy methods provides powerful new theoretical frameworks and accurate computational methods for nonperturbative and ab initio treatment of a wide range of interesting and challenging laser-induced chemical and physical processes and insightful exploration of strong-field atomic and molecular physics. (C) 2003 Elsevier B.V. All rights reserved. [References: 274]
机译:在过去的二十年中,高功率和短脉冲激光技术的发展引起了人们对于在强和超强激光领域中原子和分子系统的多光子和超高阶非线性光学过程的研究的极大兴趣,从而导致了这一发现。传统的扰动理论无法理解的许多新颖的强场现象。 Floquet定理和与时间无关的Floquet Hamilton方法是强大的理论框架,可用于研究由周期性时变场驱动的束缚多光子跃迁。但是,有许多重要的强场过程无法通过常规Floquet方法直接处理。在这篇综述文章中,我们讨论了广义Floquet定理,形式主义和拟能方法的最新进展,超越了传统的Floquet定理,可以对各种强场原子和分子过程以及当前关注的现象进行精确的非扰动处理。涵盖的主题包括:(a)人工智能(AI)-最有效路径方法(MPPA),用于有效处理超大型Floquet矩阵问题; (b)非Hermian Floquet形式主义和复杂的拟能方法,用于无扰动处理无结合和自由过程,例如原子和分子的多光子电离(MPI)和阈值以上电离(ATI),多光子解离(MPD)和分子的阈上解离(ATD),化学键软化和硬化,分子离子的电荷共振增强电离(CREI)以及多重高次谐波产生(HHG)等; (c)多模式浮球定理(MMFT),用于精确处理具有非周期时间依赖性哈密顿量的多色激光场中的多光子过程; (d)Floquet-Liouville超级矩阵(FLSM)形式主义,用于对时间相关的Liouville方程(允许松弛和相移机制)和高阶非线性光学过程(例如强度相关的非线性光学磁化率和多光子共振荧光)进行精确的非扰动处理,等等。); (e)用于处理涉及多光子跃迁的非绝热和复杂几何相的广义Floquet方法; (f)使用非周期时间哈密顿量的广义Floquet技术处理强激光脉冲场中的多光子过程; (g)时变密度泛函理论(DFT)和时变电流DFT的浮子公式,用于周期或多色(准周期)激光场中多电子量子系统的多光子过程的非扰动处理。对于每种广义Floquet方法,我们还介绍了相应的新计算技术发展,以促进对强场过程和现象的研究。这些广义的Floquet形式主义和准能量方法的发展为强大的新理论框架和精确的计算方法提供了非扰动和从头开始的处理方法,可用于各种有趣的和具有挑战性的激光诱导的化学和物理过程,以及对强场原子和分子的深刻探索物理。 (C)2003 Elsevier B.V.保留所有权利。 [参考:274]

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