Abstract

Vacuum-ultraviolet-transparent crystals have been proposed as host lattice for the coherent driving of the unusually low-lying isomer excitation in $^{229}$Th for metrology and quantum optics applications. Here the possible collective effects occurring for the coherent pulse propagation in the crystal system are investigated theoretically. We consider the effect of possible doping sites, quantization axis orientation and pulse configurations on the scattered light intensity and signatures of nuclear excitation. Our results show that for narrow-pulse driving, the rather complicated quadrupole splitting of the level scheme is significantly simplified. Furthermore, we investigate complex driving schemes with a combination of pulsed fields and investigate the occurring interference process. Our theoretical results support experimental attempts for first direct driving of the nuclear transition with coherent light.

Highlights

  • Today’s global primary and secondary time standards are based on coherent light driving atomic transitions

  • Vacuum-ultraviolet-transparent crystals have been proposed as host lattice for the coherent driving of the unusually low-lying isomer excitation in 229Th for metrology and quantum optics applications

  • The possible collective effects occurring for the coherent pulse propagation in the crystal system are investigated theoretically

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Summary

INTRODUCTION

Today’s global primary and secondary time standards are based on coherent light driving atomic transitions. Theoretical work has shown that these very conditions lead to coherent light propagation through the sample and enhanced transient fluorescence in the forward direction, with a speed up of the initial decay (homogeneous broadening) depending primarily on the sample optical thickness [16] These collective effects are well known from resonant coherent light scattering in different parameter regimes such as nuclear forward scattering (NFS) of synchrotron radiation [17] driving Mossbauer nuclear transitions in the x-ray regime, or from the interaction of atomic systems with visible and infrared light [18,19,20].

A MODEL SYSTEM
MAXWELL-BLOCH EQUATIONS
UNIQUE SIGNATURE
MODIFIED COUPLE LASER Ωc
Square pulse
Gaussian pulse
TRAIN OF PROBE PULSES
Two-level system
Three-level system
APPLIED STATIC MAGNETIC FIELD
VIII. CONCLUSIONS
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