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From attosecond to zeptosecond coherent control of free-electron wave functions using semi-infinite light fields (1712.08441v1)

Published 22 Dec 2017 in physics.optics and quant-ph

Abstract: Light-electron interaction in empty space is the seminal ingredient for free-electron lasers and also for controlling electron beams to dynamically investigate materials and molecules. Pushing the coherent control of free electrons by light to unexplored timescales, below the attosecond, would enable unprecedented applications in light-assisted electron quantum circuits and diagnostics at extremely small timescales, such as those governing intramolecular electronic motion and nuclear phenomena. We experimentally demonstrate attosecond coherent manipulation of the electron wave function in a transmission electron microscope, and show that it can be pushed down to the zeptosecond regime with existing technology. We make a relativistic pulsed electron beam interact in free space with an appropriately synthesized semi-infinite light field generated by two femtosecond laser pulses reflected at the surface of a mirror and delayed by fractions of the optical cycle. The amplitude and phase of the resulting coherent oscillations of the electron states in energymomentum space are mapped via momentum-resolved ultrafast electron energy-loss spectroscopy. The experimental results are in full agreement with our theoretical framework for light-electron interaction, which predicts access to the zeptosecond timescale by combining semi-infinite X-ray fields with free electrons.

Citations (151)

Summary

Advanced Coherent Control of Free-Electron Wave Functions with Semi-Infinite Light Fields

The paper "From attosecond to zeptosecond coherent control of free-electron wave functions using semi-infinite light fields" presents an experimental and theoretical investigation into the coherent control of free-electron wave functions. By leveraging semi-infinite light fields, created through strategic light-electron interaction geometries, the authors explore time regimes below the attosecond scale, even predicting zeptosecond control with advancements in technology.

Key Findings and Methodology

The researchers demonstrate that controlled interaction between relativistic electron beams and semi-infinite light fields can be achieved by using two femtosecond laser pulses. These pulses are manipulated such that they reflect off a mirror surface, creating the so-called semi-infinite light fields. This interaction is investigated using ultrafast transmission electron microscopy, where energy states of electrons are monitored through momentum-resolved ultrafast electron energy-loss spectroscopy (EELS).

In the experiments, the coherence of the electron wave functions is modulated using optical fields, showing potential to push temporal control even further to the zeptosecond range. This is done through what the authors refer to as the semi-infinite field effect, which allows for the relaxation of energy-momentum conservation constraints normally prohibitive in free space. By altering the orientation and delay of the laser pulses, the researchers could precisely control electron energy exchanges, which are mapped along the energy-momentum distribution of the electron wave functions.

Significant Results

  • Attosecond Control Demonstrated: The experiments reveal the potential to control electron states on attosecond timescales, with theoretical predictions indicating the feasibility of extending this down to the zeptosecond range.
  • Energy-Momentum Mapping: Detailed landmark experiments utilized momentum-resolved EELS to map out the coherent oscillations within electron states, confirming theoretical predictions of dynamics and transitions induced by such light-electron interactions.
  • Theoretical Framework Validation: A robust theoretical framework is presented to explain the interaction between semi-infinite fields and electron wave functions, highlighting the contribution of semi-infinite X-ray fields in extending the timescales even further.

Implications for Future Research

This work lays foundational insights into manipulating electron waves with light on incredibly small timescales, suggestive of applications in quantum dynamics, light-assisted electron circuits, and advanced microscopy techniques. By illustrating the ability to modulate the electron wave function’s amplitude and phase, this research may spearhead novel developments in ultrafast electron-based technologies, including potential applications in nuclear and molecular electronics investigation.

The experiment's setup and methods could be extended and refined for greater control and precision. Future studies might explore applying these concepts at different photon energies, particularly targeting X-ray photon energies as predicted in the presented theoretical model. Such developments could exponentially increase the scope of practical applications, especially in the paper of nuclear phenomena and ultrafast chemical processes.

Conclusion

This paper provides comprehensive insights into free-electron-photon interactions with a novel focus on semi-infinite light fields. The advancement from purely theoretical models to practical experiments marks a critical step in unveiling the potential of controlling electron wave functions in extreme time regimes. The implications of extending such control beyond the attosecond to zeptosecond range are immense, potentially transforming the methodologies used in ultrafast optics and electron dynamics research.

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