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We investigate the multiphoton ionization of hydrogen driven by a strong bichromatic microwave field. In a regime where classical and quantum simulations agree, periodic orbit analysis captures the mechanism: Through the linear stability of…

Chaotic Dynamics · Physics 2009-11-13 S. Huang , C. Chandre , T. Uzer

We discuss the influence of periodic orbits on the dissociation of a model diatomic molecule driven by a strong bichromatic laser fields. Through the stability of periodic orbits we analyze the dissociation probability when parameters like…

Chaotic Dynamics · Physics 2009-11-13 S. Huang , C. Chandre , T. Uzer

Closed-orbit theory provides a general approach to the semiclassical description of photo-absorption spectra of arbitrary atoms in external fields, the simplest of which is the hydrogen atom in an electric field. Yet, despite its apparent…

Chaotic Dynamics · Physics 2009-11-07 T. Bartsch , J. Main , G. Wunner

Mapping equations of motion of the highly exited classical atom in a monochromatic field are generalized for the two-frequency microwave field. Analysis of the obtained equations indicates to the weak sensitivity of the position of the…

Atomic Physics · Physics 2016-09-08 B. Kaulakys , D. Grauzhinis , G. Vilutis

A hierarchical ordering is demonstrated for the periodic orbits in a strongly coupled multidimensional Hamiltonian system, namely the hydrogen atom in crossed electric and magnetic fields. It mirrors the hierarchy of broken resonant tori…

Atomic Physics · Physics 2016-08-16 Stephan Gekle , Jörg Main , Thomas Bartsch , T. Uzer

We establish a hierarchical ordering of periodic orbits in a strongly coupled multidimensional Hamiltonian system. Phase space structures can be reconstructed quantitatively from the knowledge of periodic orbits alone. We illustrate our…

Chaotic Dynamics · Physics 2007-05-23 S. Gekle , J. Main , T. Bartsch , T. Uzer

We analyze the classical phase space of the hydrogen atom in crossed magnetic and circularly polarized microwave fields in the high frequency regime, using the Chirikov resonance overlap criterion and the renormalization map. These methods…

Chaotic Dynamics · Physics 2009-11-07 C. Chandre , David Farrelly , T. Uzer

The ionization of hydrogen Rydberg atoms by circularly polarized microwaves is studied quantum mechanically in a model two dimensional atom. We apply a combination of a transformation to the coordinate frame rotating with the field, with…

chao-dyn · Physics 2009-10-28 Jakub Zakrzewski , Robert Gebarowski , Dominique Delande

We address the concept of direct multiphoton multiple ionization in atoms exposed to intense, short wavelength radiation and explore the conditions under which such processes dominate over the sequential. Their contribution is shown to be…

Quantum Physics · Physics 2011-03-09 P. Lambropoulos , G. M. Nikolopoulos , K. G. Papamihail

Bifurcations of classical orbits introduce divergences into semiclassical spectra which have to be smoothed with the help of uniform approximations. We develop a technique to extract individual energy levels from semiclassical spectra…

Chaotic Dynamics · Physics 2009-11-07 T. Bartsch , J. Main , G. Wunner

We numerically investigate multiphoton ionization of excited hydrogen atoms in magnetic and microwave fields when up to 600 photons are required for ionization. The analytical estimates for the quantum localization length in the classically…

Condensed Matter · Physics 2009-10-28 G. Benenti , G. Casati , D. L. Shepelyansky

This article is a survey on recent contributions to an effective version of Bautin's theory about the bifurcation of periodic orbits (limit cycles). The analysis of Hopf bifurcations of higher order is possible by use of the return mapping.…

Dynamical Systems · Mathematics 2007-05-23 Jean-Pierre Francoise

When placed in parallel magnetic and electric fields, the electron trajectories of a classical hydrogen atom are chaotic. The classical escape rate of such a system can be computed with classical trajectory Monte Carlo techniques, but these…

Chaotic Dynamics · Physics 2025-03-21 Ethan T. Custodio , Sulimon Sattari , Kevin A. Mitchell

Quasi-static models of barrier suppression have played a major role in our understanding of the ionization of atoms and molecules in strong laser fields. Despite their success, in the case of diatomic molecules these studies have so far…

Atomic Physics · Physics 2009-11-10 T. Bartsch , T. Uzer

Attosecond pump-probe ionization process can be used to prepare atomic ions in the coherent superposition of states with opposite parity. The multiphoton shake-up ionization of Helium, in particular, generates ions with same principal…

Atomic Physics · Physics 2019-12-12 Saad Mehmood , Eva Lindroth , Luca Argenti

We present a control procedure to reduce the stochastic ionization of hydrogen atom in a strong microwave field by adding to the original Hamiltonian a comparatively small control term which might consist of an additional set of microwave…

Chaotic Dynamics · Physics 2007-05-23 S. Huang , C. Chandre , T. Uzer

Theoretical study on H$_2^+$ in an intense infrared laser field on the attosecond time-scale reveals that the molecular ion shows multiple bursts of ionization within a half-cycle of the laser field oscillation, in contrast to the widely…

Chemical Physics · Physics 2010-12-10 Norio Takemoto , Andreas Becker

The multiphoton ionization of hydrogen atoms in a strong elliptically polarized microwave field exhibits complex features that are not observed for ionization in circular and linear polarized fields. Experimental data reveal high…

Chaotic Dynamics · Physics 2007-05-23 Elena Shchekinova , Cristel Chandre , Turgay Uzer

We coincidently measure the molecular frame photoelectron angular distribution and the ion sum-momentum distribution of single and double ionization of CO molecules by using circularly and elliptically polarized femtosecond laser pulses,…

Atomic Physics · Physics 2015-06-04 J. Wu , L. Ph. H. Schmidt , M. Kunitski , M. Meckel , S. Voss , H. Sann , H. Kim , T. Jahnke , A. Czasch , R. Dörner

Motivated by recent experiments we analyse the classical dynamics of a hydrogen atom in parallel static and microwave electric fields. Using an appropriate representation and averaging approximations we show that resonant ionisation is…

Quantum Physics · Physics 2009-11-10 D. Richards
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