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Updated: Jun 14, 2026

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Quantum Trajectory Separation and Attosecond Mapping in Liquid High-Harmonic Generation.

Wanchen Tao1, Ruisi Zhang2, Qihe Guo2

  • 1Huazhong University of Science and Technology, Wuhan National Laboratory for Optoelectronics and School of Physics, Wuhan 430074, China.

Physical Review Letters
|June 12, 2026
PubMed
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High-harmonic generation in liquids can now be mapped to specific quantum trajectories. This breakthrough enables attosecond spectroscopy for studying ultrafast dynamics in complex liquid environments.

Area of Science:

  • Attosecond science
  • Quantum optics
  • Liquid-state spectroscopy

Background:

  • High-harmonic generation (HHG) in liquids is a promising technique for attosecond spectroscopy.
  • Fundamental questions remain regarding attosecond synchronization and multiple quantum trajectories in liquids.

Purpose of the Study:

  • To experimentally establish trajectory-dependent energy-time mapping in liquid HHG.
  • To provide direct evidence for multiple quantum trajectories in liquids.
  • To enable attosecond-resolved spectroscopy in liquid environments.

Main Methods:

  • Optimizing laser focusing geometry for spatial discrimination of trajectories.
  • Utilizing a phase-controlled two-color driving field for attochirp retrieval.
  • Employing semiclassical recollision simulations for validation.

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Last Updated: Jun 14, 2026

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Main Results:

  • Achieved clear spatial discrimination of short- and long-trajectory contributions in liquid HHG.
  • Demonstrated opposite energy-time correlations for short and long trajectories.
  • Established the first trajectory-resolved energy-time mapping in liquid HHG.

Conclusions:

  • Liquid HHG supports multiple quantum trajectories with distinct excursion times.
  • Attosecond synchronization is preserved in liquid HHG.
  • Liquid HHG is conceptually similar to gas- and solid-phase HHG, paving the way for attosecond spectroscopy in liquids.