Thermal-noise Limits to the Frequency Stability of Burned Spectral Holes

Abstract

Techniques in frequency stabilization of lasers to fixed-spacer optical cavities have advanced to the point where the ultimate frequency stabilities are limited by thermal noise in the cavity materials for standard cavity configurations at room temperature. The use of spectral-hole burning (SHB) in laser stabilization has produced promising results in early experiments. In this letter we explore the thermal-noise limits to frequency stability in burned spectral holes. We compile known material parameters for a typical system used in SHB experiments (Eu 3+ doped Y 2 SiO 5 ) to make numerical estimates for the fundamental thermal-noise induced frequency instability in spectral-holes for the liquid-helium temperature and dilution temperature cases. These efforts can guide the design of future SHB experiments and clarify which important material parameters remain to be measured.

References in corpus (34)

• Internal thermal noise in the LIGO test masses : a direct approach
• Compact, thermal-noise-limited optical cavity for diode laser stabilization at 1 x 10-15
• Thermal noise in interferometric gravitational wave detectors due to dielectric optical coatings
• Quantum teleportation from a telecom-wavelength photon to a solid-state quantum memory
• Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae
• Photonic quantum state transfer between a cold atomic gas and a crystal
• Thermo-refractive noise in gravitational wave antennae
• Thermo-optic noise in coated mirrors for high-precision optical measurements
• Frequency-stabilization to 6x10^-16 via spectral-hole burning
• Multi-mode and long-lived quantum correlations between photons and spins in a crystal
• Thermoelastic effects at low temperatures and quantum limits in displacement measurements
• Anharmonic vs. relaxational sound damping in glasses: II. Vitreous silica
• Thermodynamical fluctuations in optical mirror coatings
• Thermal noise in half infinite mirrors with non-uniform loss: a slab of excess loss in a half infinite mirror
• Laser frequency stabilization based on steady-state spectral-hole burning in Eu${}^{3+}$:Y${}_2$SiO${}_5$
• Corner reflectors and Quantum-Non-Demolition Measurements in gravitational wave antennae
• Mechanical quality factor of a sapphire fiber at cryogenic temperatures
• Shifts of optical frequency references based on spectral-hole burning in Eu:Y2SiO5
• Spectrally narrow, long-term stable optical frequency reference based on a Eu${}^{3+}$:Y${}_2$SiO${}_5$ crystal at cryogenic temperature
• High fidelity readout scheme for rare-earth solid state quantum computing
• Rare-earth-mediated opto-mechanical system in the reversed dissipation regime
• Absolute and relative stability of an optical frequency reference based on spectral hole burning in Eu${}^{3+}$:Y${}_2$SiO${}_5$
• Mechanical tunability of an ultra-narrow spectral feature with uniaxial stress
• Characteristics of long-lived persistent spectral holes in $E{u}^{3+}:Y_{2}Si{O}_5$ at $1.2K$
• Double-heterodyne probing for ultra-stable laser based on spectral hole burning in a rare-earth doped crystal
• Rapid cooling of a strain-coupled oscillator by optical phaseshift measurement
• Inhomogeneous response of an ion ensemble from mechanical stress
• Strain-mediated ion-ion interaction in rare-earth-doped solids
• Precision measurements of electric-field-induced frequency displacements of an ultranarrow optical transition in ions in a solid
• Multi-mode Heterodyne Laser Interferometry Realized via Software Defined Radio
• Anomalous sub-kelvin thermal frequency shifts of ultra narrow-linewidth solid state emitters
• First-order thermal insensitivity of the frequency of a narrow spectral hole in a crystal
• Piezo-orbital backaction force in a rare-earth doped crystal
• Temperature-dependent mechanical losses of Eu${}^{3+}$:Y${}_2$SiO${}_5$ for spectral hole burning laser stabilization

Cited by in corpus (2)

• Temperature-dependent mechanical losses of Eu${}^{3+}$:Y${}_2$SiO${}_5$ for spectral hole burning laser stabilization
• From Heat Capacity to Coherence in Ultra-Narrow-Linewidth Solid-State Optical Emitters at Sub-Kelvin Temperatures