Abstract

We present a detailed analysis of a high-bandwidth quantum memory protocol for storing single photons in a rare-earth-ion doped crystal. The basic idea is to benefit from a coherent free-induced decay type re-emission which occurs naturally when a photon with a broadband spectrum is absorbed by a narrow atomic transition in an optically dense ensemble. This allows for a high-bandwidth memory for realistic material parameters. Long storage time and on-demand readout are obtained by means of spin states in a lambda-type configuration, through the transfer of the optical coherence to a spin coherence (so-called spin-wave storage). We give explicit formulae and show numerical results which make it possible to gain insight into the dependence of the memory efficiency on the optical depth and on the width and the shape of stored photons. We present a feasibility study in rare-earth doped crystals and show that high efficiencies and high bandwidth can be obtained with realistic parameters. High-bandwidth memories using spin-wave storage offers the possibility of very high time-bandwidth products, which is important for experiments where high repetition rates are needed.

Highlights

  • Quantum memories are devices capable of storing single photon states in a stationary medium [1,2,3,4,5], which are essential building blocks of emerging quantum technologies

  • We have analyzed a simple memory protocol which uses the natural inhomogeneous broadening inherently present in solid state systems

  • We here focused on the opposite regime of large optical depth and showed that in this case, close to all the stored energy is carried away by the free induction emission, leading to an efficient memory, provided that the input pulse shape is an exponentially raising pulse in time with a duration of the order of−1

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Summary

Introduction

Quantum memories are devices capable of storing single photon states in a stationary medium [1,2,3,4,5], which are essential building blocks of emerging quantum technologies. High-bandwidth quantum memory protocol for storing single photons in rare-earth doped crystals allow on-demand read out. Er3+, Nd3+ or Yb3+), High-bandwidth quantum memory protocol for storing single photons in rare-earth doped crystals which usually have doubly degenerate ground-state levels with a magnetic sensitivity of the order of the Bohr magneton ( proportional to 14 GHz/Tesla). These Zeeman levels can be split in order to have optically resolved transitions between all magnetic sub-levels [32]. Both forward and backward readouts are studied in detail where we give explicit formulas for the efficiency of the storage and retrieval steps

Analytical formulas for efficiency
Absorption process
Re-emission process
Optimization over the input pulse duration
Optimization over the input pulse shape
Implementation in rare-earth doped solids
Findings
Conclusion

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