Superhyperfine induced photon-echo collapse of erbium in Y${}_2$SiO${}_5$

Abstract

We investigate the decoherence of Er${}^{3+}$ in Y${}_2$SiO${}_5$ at low magnetic fields using the photon-echo technique. We reproduce accurately a variety of the decay curves with a unique coherence time by considering the so-called superhyperfine modulation induced by a large number of neighbouring spins. There is no need to invoke any characteristic time of the spin fluctuations to reproduce very different decay curves. The number of involved nuclei increases when the magnetic is lowered. The experiment is compared with a model associating 100 surrounding ions with their exact positions in the crystal frame. We also derive an approximate spherical model (angular averaging) to interpret the main feature the observed decay curves close to zero-field.

References in corpus (15)

• Hybrid quantum circuit with a superconducting qubit coupled to a spin ensemble
• Perspectives on quantum transduction
• Anisotropic rare-earth spin ensemble strongly coupled to a superconducting resonator
• Coherent conversion between microwave and optical photons -- an overview of physical implementations
• Coherent frequency up-conversion of microwaves to the optical telecommunications band in an Er:YSO crystal
• Inductive-detection electron-spin resonance spectroscopy with $65$spins$/\sqrt{\text{Hz}}$ sensitivity
• Microwave multimode memory with an Er${}^{3+}$:Y${}_2$SiO${}_5$ spin ensemble
• Optical spin-wave storage in a solid-state hybridized electron-nuclear spin ensemble
• Coherent spin dynamics of ytterbium ions in yttrium orthosilicate
• Optical coherence of ${}^{166}$Er:${}^7$LiYF${}_4$ crystal below 1 Kelvin
• Selective optical addressing of nuclear spins through superhyperfine interaction in rare-earth doped solids
• Spectroscopic study of hyperfine properties in ${}^{171}$Yb${}^{3+}$:Y${}_2$SiO${}_5$
• Extending Phenomenological Crystal-Field Methods to $C_1$ Point-Group Symmetry: Characterization of the Optically-Excited Hyperfine Structure of ${}^{167}$Er${}^{3+}$:Y${}_2$SiO${}_5$
• Coupling erbium spins to a three-dimensional superconducting cavity at zero magnetic field
• Hyperfine interactions of ${\text{Er}}^{3+}$ ions in ${\text{Y}}_2{\text{SiO}}_5$: electron paramagnetic resonance in a tunable microwave cavity

Cited by in corpus (9)

• Coherent and Purcell-enhanced emission from erbium dopants in a cryogenic high-Q resonator
• Narrow optical transitions in erbium-implanted silicon waveguides
• Robust millisecond coherence times of erbium electron spins
• Optical coherence properties of Kramers' rare-earth ions at the nanoscale for quantum applications
• Optical and spin manipulation of non-Kramers rare-earth ions under weak magnetic field for quantum memory applications
• Coherent optical-microwave interface for manipulation of low-field electronic clock transitions in ${}^{171}$Yb${}^{3+}$:Y${}_2$SiO${}_5$
• Spectral Multiplexing of Rare-earth Emitters in a Co-doped Crystalline Membrane
• Erbium Quantum Memory Platform with Long Optical Coherence via Back-End of Line Deposition on Foundry-Fabricated Photonics
• Incoherent Measurement of Sub-10 kHz Optical Linewidths