Thermal-Noise Limit in the Frequency Stabilization of Lasers with Rigid Cavities

Numata, Kenji; Kemery, Amy; Camp, J. B.

doi:10.1103/physrevlett.93.250602

Cited by 506 publications

(382 citation statements)

References 20 publications

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“…High performance dielectric mirror coatings that have low optical and mechanical loss are required for use in ring laser gyroscopes [1], frequency comb techniques [2], optical clocks [3] and precision interferometry [4].…”

Section: Introductionmentioning

confidence: 99%

Correlations between the mechanical loss and atomic structure of amorphous TiO2-doped Ta2O5 coatings

Bassiri¹,

Evans²,

Borisenko³

et al. 2013

Acta Materialia

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can drop by as much as 40 % when it is doped with TiO 2 . We use a combination of electron diffraction data and atomic modeling using molecular dynamics to probe the atomic structure of these coatings, and examine the correlations between changes in the atomic structure and changes in the mechanical loss of these coatings. Our results show the first correlation between changes in the mechanical loss and experimentally measured changes in the atomic structure resulting from variations in the level of TiO 2 doping in TiO 2 doped Ta 2 O 5 coatings, in that increased homogeneity at the nearest neighbour level appears to correlate with reduced mechanical loss. It is demonstrated that subtle but measurable changes in the nearest neighbour homogeneity in an amorphous material

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Section: Introductionmentioning

confidence: 99%

Correlations between the mechanical loss and atomic structure of amorphous TiO2-doped Ta2O5 coatings

Bassiri¹,

Evans²,

Borisenko³

et al. 2013

Acta Materialia

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“…We have made an estimate of the thermal noise limit of our cavities based on the values reported for ULE, fused silica and mirror coatings in reference [12]. The resulting limit, ∼3.8 × 10 −16 , is about three times smaller than the noise level in all-ULE cavities realized at the same wavelength for a similar purpose [24].…”

Section: Ultra-high-finesse Cavities For a High-stability Lasermentioning

confidence: 99%

“…The employment of ultra-low thermal expansion materials as spacers between the cavity mirrors and the increasing level of engineering in their shape design have allowed several optical cavities to reach a stability level σ y 6 × 10 −16 [10,11] at 1 s. This instability level is limited by thermal fluctuations of the mirror substrates and coatings [12]. Although some theoretical ideas have been proposed to reduce or circumvent the thermal noise [13,14], it currently sets the ultimate limit for cavity frequency-stabilization techniques.…”

Section: Introductionmentioning

confidence: 99%

A high-stability semiconductor laser system for a 88Sr-based optical lattice clock

et al. 2010

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We describe a frequency-stabilized diode laser at 698 nm used for high-resolution spectroscopy of the 1 S 0 -3 P 0 strontium clock transition. For the laser stabilization we use state-of-the-art symmetrically suspended optical cavities optimized for very low thermal noise at room temperature. Two-stage frequency stabilization to high-finesse optical cavities results in measured laser frequency noise about a factor of three above the cavity thermal noise between 2 Hz and 11 Hz. With this system, we demonstrate high-resolution remote spectroscopy on the 88 Sr clock transition by transferring the laser output over a phase noisecompensated 200-m-long fiber link between two separated laboratories. Our dedicated fiber link ensures a transfer of the optical carrier with frequency stability of 7 × 10 −18 after 100 s integration time, which could enable the observation of the strontium clock transition with an atomic Q of 10 14 . Furthermore, with an eye toward the development of transportable optical clocks, we investigate how the complete laser system (laser + optics + cavity) can be influenced by environmental disturbances in terms of both short-and long-term frequency stability.

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“…For macroscopic ultra-stable cavities, TRN has been observed to be a limitation on frequency stability at room temperature [284], and demonstrated to be suppressed at cryogenic temperatures [287]. For small mode-volume microcavities, TRN poses a much larger problem, and has been observed to limit frequency imprecision at the level of 10 3 Hz 2 /Hz at Fourier frequencies of about 1 MHz, at room temperature [277].…”

Section: Imprecision Due To Cavity Substrate Noisementioning

confidence: 99%

“…In all position sensors, extraneous thermal fluctuations pose a fundamental limit to the achievable imprecision. In cavity-optomechanical sensors, the main sources of extraneous imprecision arise from thermomechanical [279,280] and thermodynamic fluctuations of the cavity substrate [281][282][283][284]. These result in excess cavity frequency noise,S imp,ex ω , and limit the measurement rate to…”

Section: Measurement At the Thermal Decoherence Ratementioning

confidence: 99%

Quantum Limits on Measurement and Control of a Mechanical Oscillator

Sudhir

2018

Springer Theses

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PAR Vivishek SUDHIR JOSEPH CONRAD, Heart of DarknessExperimental physics demands a certain degree of manual dexterity, the patience to tolerate the mundane, and an inexhaustible supply of optimism. Tobias hired me to work on an immensely sophisticated experiment despite any proof of my possessing these qualities; I am indebted to him for the belief he has placed in me. I would also like to acknowledge his dedication to fostering an environment where the pursuit of science is unencumbered by other worldly concerns. Stefan, Ewold and Samuel bore the brunt of a theorist trying to perform delicate experiments; the stern, yet encouraging, stewardship of this trio ensured that I enjoyed the culture shock. Dal Wilson was more than a colleague and a post-doc; his pragmatic approach to physics provided the ideal counter-point in our attempts to forge a deeper understanding of things ranging from vibration isolation to the subtleties of quantum mechanics. Without the patient efforts of Amir, Ryan and Hendrik in designing, fabricating, and testing of devices, none of the results reported here would have been possible. I hope I have been able to bequeath a better vision of the future of our experiment to Sergey. Conversations with Alexey, Daniel and Nathan have enabled me to vicariously learn how to measure microwave "photons". John Jost once taught me how to decorate a Christmas tree; since then he has imparted some wisdom on frequency metrology, and some on atomic physics. Together with Dal, Victor and Caroline have probably spent the most time with me outside the lab; it was fun to exercise an air of social normalcy with this bunch. Christophe has been an amazing sparring partner on every subject capable of being brought under scientific scrutiny.The personal space required for the pursuit of science comes through the sacrifice of many people. My family back home in India -parents, sister, grand-parents -have had to patiently wait for the brief interludes when I go home. No words can do justice to this and the very many other pleasures they have surrendered over the years for my sake. Before physics attracted me, I was charmed by someone else; I am lucky to have married her. Long time friends, mentorsAjith and Subeesh -have played pivotal roles in my being able to engage in physics; I hope to repay this enormous debt, some day.It was a privilege to have learnt from a few great teachers during my formative years. Their vision of an indelible unity in nature continues to motivate my study of physics. vii AbstractThe precision measurement of position has a long-standing tradition in physics. Cavendish's verification of the universal law of gravitation using a torsion pendulum, Perrin's confirmation of the atomic hypothesis via the precise measurement of the Brownian motion, and, the verification of the mechanical effect of electromagnetic radiation, all belong to this classical heritage. Quantum mechanics posits that the measurement of position results in an uncertain momentum; an idea developed to full maturity within the ...

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Thermal-Noise Limit in the Frequency Stabilization of Lasers with Rigid Cavities

Cited by 506 publications

References 20 publications

Correlations between the mechanical loss and atomic structure of amorphous TiO2-doped Ta2O5 coatings

Correlations between the mechanical loss and atomic structure of amorphous TiO2-doped Ta2O5 coatings

A high-stability semiconductor laser system for a 88Sr-based optical lattice clock

Quantum Limits on Measurement and Control of a Mechanical Oscillator

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