Abstract

Ultrafast and precise control of quantum systems at x-ray energies involves photons with oscillation periods below 1 as. Coherent dynamic control of quantum systems at these energies is one of the major challenges in hard x-ray quantum optics. Here, we demonstrate that the phase of a quantum system embedded in a solid can be coherently controlled via a quasi-particle with subattosecond accuracy. In particular, we tune the quantum phase of a collectively excited nuclear state via transient magnons with a precision of 1 zs and a timing stability below 50 ys. These small temporal shifts are monitored interferometrically via quantum beats between different hyperfine-split levels. The experiment demonstrates zeptosecond interferometry and shows that transient quasi-particles enable accurate control of quantum systems embedded in condensed matter environments.

Highlights

  • Ultraprecise probing and control of processes on their intrinsic time scales are essential to reveal fundamental dynamics in nature

  • The control of quantum systems is mostly performed via coherent excitation with photons

  • The experimental data are in perfect accordance with the model and demonstrate that the collective nuclear quantum state can be coherently controlled with magnons

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Summary

Introduction

Ultraprecise probing and control of processes on their intrinsic time scales are essential to reveal fundamental dynamics in nature. Coherent light-matter interaction in the hard x-ray regime couples quantum states with electromagnetic waves. The latter exhibit oscillation periods on the order of zeptoseconds associated with the involved x-ray energies of a few kiloelectron volts. Quantum optical concepts have been established in the regime of hard x-rays using nuclear [1,2,3,4,5,6,7,8] or electronic [9] resonances, the associated zeptosecond time scale prevents application of established quantum optical control schemes at x-ray energies. Novel control schemes at these energies are called for to access these time scales and the corresponding phase shifts

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