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Scientists from the University of Konstanz developed a method using femtosecond light flashes to generate electron pulses with a duration of around five attoseconds. This breakthrough, offering a higher time resolution than light waves, paves the way for observing ultrafast phenomena, such as nuclear reactions.

Molecular or solid-state processes in nature can sometimes take place in time frames as brief as femtoseconds (quadrillionths of a second) or attoseconds (quintillionths of a second). Nuclear reactions are even faster. Now, Maxim Tsarev, Johannes Thurner, and Peter Baum, scientists from the University of Konstanz, are using a new experimental set-up to achieve signals of attosecond duration, i.e. the billionths of a nanosecond, which opens up new perspectives in the field of ultrafast phenomena.

Not even light waves can achieve such a time resolution because a single oscillation takes much too long for that. Electrons provide a remedy here, as they enable significantly higher time resolution. In their experimental set-up, the Konstanz researchers use pairs of femtosecond light flashes from a laser to generate their extremely short electron pulses in a free-space beam. The results are reported in the journal Nature Physics.

Similar to water waves, light waves can also superimpose to create standing or traveling wave crests and troughs. The physicists chose the incidence angles and frequencies so that the co-propagating electrons, which fly through a vacuum at half the speed of light, overlap with optical wave crests and troughs of exactly the same speed.

What is known as ponderomotive force then pushes the electrons in the direction of the next wave trough. Thus, after a short interaction, a series of electron pulses is generated which are extremely short in time especially in the middle of the pulse train, where the electric fields are very strong.

For a short time, the temporal duration of the electron pulses is only about five attoseconds. In order to understand that process, the researchers measure the electrons velocity distribution that remains after compression. Instead of a very uniform velocity of the output pulses, you see a very broad distribution that results from the strong deceleration or acceleration of some electrons in the course of compression, explains physicist Johannes Thurner. But not only that: The distribution is not smooth. Instead, it consists of thousands of velocity steps, since only a whole number of light particle pairs can interact with electrons at a time.

Quantum mechanically, the scientist says, this is a temporal superposition (interference) of the electrons with themselves, after experiencing the same acceleration at different times. This effect is relevant for quantum mechanical experiments for example, on the interaction of electrons and light.

What is also remarkable: Plane electromagnetic waves like a light beam normally cannot cause permanent velocity changes of electrons in a vacuum, because the total energy and the total momentum of the massive electron and a zero rest mass light particle (photon) cannot be conserved. However, having two photons simultaneously in a wave traveling slower than the speed of light solves this problem (Kapitza-Dirac effect).

For Peter Baum, physics professor and head of the Light and Matter Group at the University of Konstanz, these results are still clearly basic research, but he emphasizes the great potential for future research: If a material is hit by two of our short pulses at a variable time interval, the first pulse can trigger a change and the second pulse can be used for observation similar to the flash of a camera.

In his view, the great advantage is that no material is involved in the experimental principle and everything happens in free space. Lasers of any power could in principle be used in the future for ever stronger compression. Our new two-photon compression allows us to move into new dimensions of time and perhaps even film nuclear reactions, Baum says.

Reference: Nonlinear-optical quantum control of free-electron matter waves by Maxim Tsarev, Johannes W. Thurner and Peter Baum, 12 June 2023, Nature Physics.DOI: 10.1038/s41567-023-02092-6

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