A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform
This study introduces a new adaptive time-frequency (TF) analysis technique, the synchrosqueezing transform (SST), to explore the dynamics of a laser-driven hydrogen atom at an ab initio level, upon which we have demonstrated its versatility as a new viable venue for further exploring q...
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AIP Publishing LLC
2014-11-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.4903164 |
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doaj-86a447c87e43463386ba08f8afe837b72020-11-24T21:07:26ZengAIP Publishing LLCAIP Advances2158-32262014-11-01411117138117138-610.1063/1.4903164040411ADVA new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transformYae-lin Sheu0Liang-Yan Hsu1Hau-tieng Wu2Peng-Cheng Li3Shih-I Chu4Center for Quantum Science and Engineering, and Center for Advanced Study in Theoretical Sciences, Department of Physics, National Taiwan University, Taipei 10617, TaiwanDepartment of Chemistry, Princeton University, Princeton, New Jersey 08544, The United StatesDepartment of Mathematics, University of Toronto, Toronto ON M5S 2E4, CanadaCenter for Quantum Science and Engineering, and Center for Advanced Study in Theoretical Sciences, Department of Physics, National Taiwan University, Taipei 10617, TaiwanCenter for Quantum Science and Engineering, and Center for Advanced Study in Theoretical Sciences, Department of Physics, National Taiwan University, Taipei 10617, Taiwan This study introduces a new adaptive time-frequency (TF) analysis technique, the synchrosqueezing transform (SST), to explore the dynamics of a laser-driven hydrogen atom at an ab initio level, upon which we have demonstrated its versatility as a new viable venue for further exploring quantum dynamics. For a signal composed of oscillatory components which can be characterized by instantaneous frequency, the SST enables rendering the decomposed signal based on the phase information inherited in the linear TF representation with mathematical support. Compared with the classical type of TF methods, the SST clearly depicts several intrinsic quantum dynamical processes such as selection rules, AC Stark effects, and high harmonic generation. http://dx.doi.org/10.1063/1.4903164 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yae-lin Sheu Liang-Yan Hsu Hau-tieng Wu Peng-Cheng Li Shih-I Chu |
| spellingShingle |
Yae-lin Sheu Liang-Yan Hsu Hau-tieng Wu Peng-Cheng Li Shih-I Chu A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform AIP Advances |
| author_facet |
Yae-lin Sheu Liang-Yan Hsu Hau-tieng Wu Peng-Cheng Li Shih-I Chu |
| author_sort |
Yae-lin Sheu |
| title |
A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform |
| title_short |
A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform |
| title_full |
A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform |
| title_fullStr |
A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform |
| title_full_unstemmed |
A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform |
| title_sort |
new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: synchrosqueezing transform |
| publisher |
AIP Publishing LLC |
| series |
AIP Advances |
| issn |
2158-3226 |
| publishDate |
2014-11-01 |
| description |
This study introduces a new adaptive time-frequency (TF) analysis technique, the synchrosqueezing transform (SST), to explore the dynamics of a laser-driven hydrogen atom at an ab initio level, upon which we have demonstrated its versatility as a new viable venue for further exploring quantum dynamics. For a signal composed of oscillatory components which can be characterized by instantaneous frequency, the SST enables rendering the decomposed signal based on the phase information inherited in the linear TF representation with mathematical support. Compared with the classical type of TF methods, the SST clearly depicts several intrinsic quantum dynamical processes such as selection rules, AC Stark effects, and high harmonic generation.
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| url |
http://dx.doi.org/10.1063/1.4903164 |
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