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We study the time dependence of the ionization probability of Rydberg atoms driven by a microwave field. The quantum survival probability follows the classical one up to the Heisenberg time and then decays inversely proportional to time,…

Condensed Matter · Physics 2007-05-23 Giuliano Benenti , Giulio Casati

I show that the theory developed for quantum delocalization of an excited Hydrogen atom in a two-frequency linearly polarized microwave field can be used with a few adaptions to explain the quantum delocalization of Alkali atoms in a…

Atomic Physics · Physics 2016-09-08 Luca Perotti

We show that quantum effects modify the decay rate of Poincar\'e recurrences P(t) in classical chaotic systems with hierarchical structure of phase space. The exponent p of the algebraic decay P(t) ~ 1/t^p is shown to have the universal…

Condensed Matter · Physics 2009-10-31 Giulio Casati , Giulio Maspero , Dima L. Shepelyansky

Quantum escape of a particle via a time-dependent confining potential in a semi-infinite one-dimensional space is discussed. We describe the time-evolution of escape states in terms of scattering states of the quantum open system, and…

Statistical Mechanics · Physics 2013-12-03 Tooru Taniguchi , Shin-ichi Sawada

We investigate the long-time limit of quantum localization of the kicked Rydberg atom. The kicked Rydberg atom is shown to possess in addition to the quantum localization time $\tau_L$ a second cross-over time $t_D$ where quantum dynamics…

Quantum Physics · Physics 2009-11-13 E. Persson , S. Fürthauer , S. Wimberger , J. Burgdörfer

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

The dynamics of Rydberg states of atomic hydrogen driven by elliptically polarized microwaves of frequency fulfilling 2:1 classical resonance condition is investigated both semiclassically and quantum mechanically in a simplified…

chao-dyn · Physics 2009-10-31 Krzysztof Sacha , Jakub Zakrzewski

A simple theory of the Rydberg atoms ionisation by electromagnetic pulses and microwave field is presented. The analysis is based on the scale transformation which reduces the number of parameters and reveals the functional dependencies of…

Quantum Physics · Physics 2007-05-23 B. Kaulakys , G. Vilutis

The dynamics of Rydberg states of atomic hydrogen illuminated by resonant elliptically polarized microwaves is investigated both semiclassically and quantum mechanically in a simplified two-dimensional model of an atom. Semiclassical…

chao-dyn · Physics 2009-10-31 Krzysztof Sacha , Jakub Zakrzewski

We establish analogy between a microwave ionization of Rydberg atoms and a charge transport through a chaotic quantum dot induced by a monochromatic field in a regime with a potential barrier between dot contacts. We show that the quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tomaz Prosen , Dima Shepelyansky

Experiments have shown that the microwave ionization probability of a highly excited almost monodimensional hydrogen atom subjected to a microwave pulse sometimes grows in steps when the peak electric field of the pulse is increased.…

Atomic Physics · Physics 2015-05-13 Luca C. Perotti

We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength $r$ and frequency $\omega$. The survival probability is for small $r$ given by $e^{-\Gamma t}$ for times of order…

Atomic Physics · Physics 2007-05-23 Ovidiu Costin , Joel L. Lebowitz , Alexander Rokhlenko

The complex processes leading to the collisional population of ultra-long-lived Rydberg states with very high angular momentum can be explained surprisingly well using classical mechanics. In this article, we explain the reason behind this…

Atomic Physics · Physics 2012-08-27 Paolo Bellomo , C. R. Stroud, , David Farelly , T. Uzer

We study the decay of survival probability at quantum phase transitions (QPT). The semiclassical theory is found applicable in the vicinities of critical points with infinite degeneracy. The theory predicts a power law decay of the survival…

Quantum Physics · Physics 2015-05-13 Wen-ge Wang , Pinquan Qin , Lewei He , Ping Wang

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 re-interprete the microcanonical conditions in the quantum domain as constraints for the interaction of the "gas-subsystem" under consideration and its environment ("container"). The time-average of a purity-measure is found to equal the…

Quantum Physics · Physics 2009-11-07 Jochen Gemmer , Alexander Otte , Guenter Mahler

We study the field-ionization threshold behavior when a Rydberg atom is ionized by a short single-cycle pulse field. Both hydrogen and sodium atoms are considered. The required threshold field amplitude is found to scale \emph{inversely}…

Atomic Physics · Physics 2014-12-08 B. C. Yang , F. Robicheaux

Quantum control of the pathway along which a Rydberg electron field ionizes is experimentally and computationally demonstrated. Selective field ionization is typically done with a slowly rising electric field pulse. The $(1/n^*)^4$ scaling…

A fully classical explanation of the nonhydrogenic ionization threshold for low angular momentum Rydberg states of Alkali-metal atoms in a linearly polarized low frequency monochromatic microwave field is given: the classical equivalent to…

Atomic Physics · Physics 2013-05-29 Luca Perotti

We present analytical and numerical results for the microwave excitation of nonhydrogenic atoms in a static electric field when up to 1000 photons are required to ionize an atom. For small microwave fields, dynamical localization in photon…

Condensed Matter · Physics 2009-10-30 Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky
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