An All-Optical Trap for a Gram-Scale Mirror

Corbitt, T. R.; Chen, Yanbei; Innerhofer, E.; Müller‐Ebhardt, H.; Ottaway, D. J.; Rehbein, H.; Sigg, D.; Whitcomb, S. E.; Wipf, C. C.; Mavalvala, N.

doi:10.1103/physrevlett.98.150802

Cited by 364 publications

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“…While the concept of a stable DOS has motivated experiments such as the one already carried out by Corbitt et al [20], in this paper, we have theoretically investigated the benefit of a DOS configuration for second-generation gravitational-wave detectors, in particular, in a follow-up experiment to Advanced LIGO, possibly in combination with other existing schemes, e.g., the local readout scheme proposed in Ref. [16], as well as the injection of squeezed vacuum [33][34][35][36][37].…”

Section: Discussionmentioning

confidence: 99%

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Double optical spring enhancement for gravitational-wave detectors

et al. 2008

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Currently planned second-generation gravitational-wave laser interferometers such as Advanced LIGO exploit the extensively investigated signal-recycling technique. Candidate Advanced LIGO configurations are usually designed to have two resonances within the detection band, around which the sensitivity is enhanced: a stable optical resonance and an unstable optomechanical resonance-which is upshifted from the pendulum frequency due to the so-called optical-spring effect. As an alternative to a feedback control system, we propose an all-optical stabilization scheme, in which a second optical spring is employed, and the test mass is trapped by a stable ponderomotive potential well induced by two carrier light fields whose detunings have opposite signs. The double optical spring also brings additional flexibility in reshaping the noise spectral density and optimizing toward specific gravitational-wave sources. The presented scheme can be extended easily to a multi-optical-spring system that allows further optimization.

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Section: Discussionmentioning

confidence: 99%

“…The stable optomechanical resonance has already been demonstrated experimentally [20]. This paper is organized as follows: In Sec.…”

Section: Introductionmentioning

confidence: 99%

Double optical spring enhancement for gravitational-wave detectors

et al. 2008

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“…2). We examine the case ∆ pc > 0, where the optical spring leads to mechanical stiffening 30 . At constant intracavity photon number (n 5), we vary the pump detuning, increasing the optical spring constant up to…”

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Cavity-mediated coupling of mechanical oscillators limited by quantum back-action

et al. 2015

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A complex quantum system can be constructed by coupling simple elements. For example, trapped-ion 1,2 or superconducting 3 quantum bits may be coupled by Coulomb interactions, mediated by the exchange of virtual photons. Alternatively, quantum objects can be made to emit and exchange real photons, providing either unidirectional coupling in cascaded geometries 4-6 , or bidirectional coupling that is particularly strong when both objects are placed within a common electromagnetic resonator 7 . However, in such an open system, the capacity of a coupling channel to convey quantum information or generate entanglement may be compromised by photon loss 8 . Here, we realize phase-coherent interactions between two addressable, spatially separated, near-groundstate mechanical oscillators within a driven optical cavity. We observe the quantum back-action noise imparted by the optical coupling resulting in correlated mechanical fluctuations of the two oscillators. Our results illustrate challenges and opportunities of coupling quantum objects with light for applications of quantum cavity optomechanics [8][9][10][11][12][13][14] .Cavity optomechanical systems comprised of a single mechanical oscillator interacting with a single electromagnetic cavity mode 15 serve useful quantum-mechanical functions, such as generating squeezed light [16][17][18] , detecting forces with quantum-limited sensitivity 19 or through back-action-evading measurement 20 , and both entangling and amplifying mechanical and optical modes 21 . Systems containing several mechanical elements offer additional capabilities. In the quantum regime, these systems may enable two-mode back-action-evading measurements 9 , creation of nonclassical states 10 , fundamental tests of quantum mechanics 8,11,12 , correlations at the quantum level with applications in highsensitivity measurements 13 , and quantum information science 14 . Realizing these proposed functions requires multiple-element cavity optomechanical systems in which quantum-mechanical optical force fluctuations dominate over thermal and technical ones.An important new feature in these multi-mechanical systems is photon-mediated forces between mechanical elements. Consider a driven cavity containing two mechanical elements with linear optomechanical coupling (Fig. 1a). Each element experiences radiation pressure proportional to the number of intracavity photons. The displacement of one element changes the cavity resonance frequency, causing a change in the intracavity photon number, and thereby modifying the force on the second element. In this manner, an effective optical spring is established between the mechanical elements (Fig. 1b). A quantized picture clarifies the role of cavity photons as the bidirectional force-mediating particle for this interaction: pump light is Stokes scattered off one element, generating a cavity photon that is absorbed through anti-Stokes scattering by the second element, and vice versa 7 (Fig. 1c). This cavity-mediated force has been shown to cause hybridization [22][23...

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“…The various traces show the effect of the sideband resolution, 2Ω m κ , which dictates the efficiency of the autonomous feedback enforced by the cavity that leads to dynamic back-action. Such dynamic backaction on the mechanical oscillator leading to optical spring [198,199], linewidth narrowing (amplification) [200][201][202] or damping (cooling) [203][204][205][206][207] have been observed. In the resolvedsideband regime, characterised by κ Ω m , it becomes possible to cool the mechanical oscillator to a level where its energy is comparable to the energy in its ground state [208][209][210][211].…”

Section: Dynamical Back-actionmentioning

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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An All-Optical Trap for a Gram-Scale Mirror

Abstract: Nergis An all-optical trap for a gram-scale mirror Physical Review Letters, 2007; 98(15):150802

Cited by 364 publications

References 16 publications

Double optical spring enhancement for gravitational-wave detectors

Double optical spring enhancement for gravitational-wave detectors

Cavity-mediated coupling of mechanical oscillators limited by quantum back-action

Quantum Limits on Measurement and Control of a Mechanical Oscillator

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