Pulse area theorem in a single mode waveguide and its application to photon echo and optical memory in Tm3+:Y3Al5O12

Abstract

We derive the area theorem for light pulses interacting with inhomogeneously broadened ensemble of two-level atoms in a single-mode optical waveguide and present its analytical solution for Gaussian-type modes, which demonstrates the significant difference from the formation of $2\pi$ pulses by plane waves. We generalize this theorem to the description of photon echo and apply it to the two-pulse (primary) echo and the revival of silenced echo (ROSE) protocol of photon echo quantum memory. For the first time, we implemented ROSE protocol in a single-mode laser-written waveguide made of an optically thin crystal $T{m}^{3+}:Y_{3}A{l}_5{O}_{12}$. The experimental data obtained are satisfactorily explained by the developed theory. Finally, we discuss the obtained experimental results and possible applications of the derived pulse area approach.

References in corpus (8)

• Integrated Photonic Quantum Technologies
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• Quantum storage of entangled telecom-wavelength photons in an erbium-doped optical fibre
• Analysis of a quantum memory for photons based on controlled reversible inhomogeneous broadening
• Reliable coherent optical memory based on a laser-written waveguide
• The observation of photon echoes from evanescently coupled rare-earth ions in a planar waveguide
• Optical memory bandwidth and multiplexing capacity in the erbium telecommunication window
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Cited by in corpus (3)

• Area theorem in a ring laser cavity
• Area theorem for surface plasmons interacting with resonant atoms
• Photon echo in ring cavity: pulse area approach