Strain-mediated ion-ion interaction in rare-earth-doped solids

Abstract

It was recently shown that the optical excitation of rare-earth ions produces a local change of the host matrix shape, attributed to a change of the rare-earth ion's electronic orbital geometry. In this work we investigate the consequences of this piezo-orbital backaction and show from a macroscopic model how it yields a disregarded ion-ion interaction mediated by mechanical strain. This interaction scales as $1/r^3$, similarly to the other archetypal ion-ion interactions, namely electric and magnetic dipole-dipole interactions. We quantitatively assess and compare the magnitude of these three interactions from the angle of the instantaneous spectral diffusion mechanism, and reexamine the scientific literature in a range of rare-earth doped systems in the light of this generally underestimated contribution.

15 pages, 3 figures, 3 tables

References in corpus (10)

• Quantum Computing
• Universal Approach to Optimal Photon Storage in Atomic Media
• Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing
• Scalable designs for quantum computing with rare-earth-ion-doped crystals
• Controlled Stark shifts in Er${}^{3+}$-doped crystalline and amorphous waveguides for quantum state storage
• Tm${}^{3+}$:Y${}_3$Ga${}_5$O${}_{12}$ materials for spectrally multiplexed quantum memories
• Optical memory bandwidth and multiplexing capacity in the erbium telecommunication window
• Coherent spin dynamics of rare-earth doped crystals in the high-cooperativity regime
• Multi-mode technique for the determination of the biaxial Y2SiO5 permittivity tensor from 300 to 6 Kelvin
• Limits to the sensitivity of a rare-earth-enabled cryogenic vibration sensor

Cited by in corpus (4)

• Spectral Multiplexing of Rare-earth Emitters in a Co-doped Crystalline Membrane
• Piezo-orbital backaction force in a rare-earth doped crystal
• Thermal-noise Limits to the Frequency Stability of Burned Spectral Holes
• From Heat Capacity to Coherence in Ultra-Narrow-Linewidth Solid-State Optical Emitters at Sub-Kelvin Temperatures