Integrated fiber-mirror ion trap for strong ion-cavity coupling

Brandstätter, B.; McClung, Andrew; Schüppert, Klemens; Casabone, Bernardo; Friebe, Konstantin; Stute, Andreas; Schmidt, Piet O.; Deutsch, C.; Reichel, Jakob; Blatt, R.; Northup, Tracy E.

doi:10.1063/1.4838696

Cited by 90 publications

(91 citation statements)

References 49 publications

(155 reference statements)

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“…Fabry-Pérot optical microcavities built from micro-machined concave mirrors [1][2][3][4][5][6][7] offer a powerful combination of small mode cross section, high finesse, and open access. This has proven to be beneficial for experiments covering a broad range of topics, including cavity quantum electrodynamics with cold atoms [8,9], ions [10,11], and solid-state-based emitters [12][13][14][15][16][17][18], as well as cavity optomechanics [19][20][21] and scanning cavity microscopy [22]. Various techniques have been developed to produce concave, near-spherical profiles as mirror substrates, including CO 2 laser machining [2,6,7,13,23], chemical etching [3,24], focused ion beam milling [5,25], and thermal reflow [26,27].…”

Section: Introductionmentioning

confidence: 99%

Transverse-mode coupling and diffraction loss in tunable Fabry–Pérot microcavities

et al. 2015

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We report on measurements and modeling of the mode structure of tunable Fabry-Pérot optical microcavities with imperfect mirrors. We find that non-spherical mirror shape and finite mirror size leave the fundamental mode mostly unaffected, but lead to loss, mode deformation, and shifted resonance frequencies at particular mirror separations. For small mirror diameters, the useful cavity length is limited to values significantly below the expected stability range. We explain the observations by resonant coupling between different transverse modes of the cavity and mode-dependent diffraction loss. A model based on resonant state expansion that takes into account the measured mirror profile can reproduce the measurements and identify the parameter regime where detrimental effects of mode mixing are avoided.

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Section: Introductionmentioning

confidence: 99%

Transverse-mode coupling and diffraction loss in tunable Fabry–Pérot microcavities

et al. 2015

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“…In either case, it is necessary to understand and control this splitting.Two potential sources of the splitting of polarization eigenmodes in a Fabry-Perot cavity can be distinguished. The first one is birefringence of the mirror materials, usually attributed to mechanical stress [39,40]. Combined with a finite penetration depth, this leads to a polarization-dependent phase shift upon reflection.…”

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confidence: 99%

Frequency splitting of polarization eigenmodes in microscopic Fabry–Perot cavities

et al. 2015

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We study the frequency splitting of the polarization eigenmodes of the fundamental transverse mode in CO 2 laser-machined, high-finesse optical Fabry-Perot cavities and investigate the influence of the geometry of the cavity mirrors. Their highly reflective surfaces are typically not rotationally symmetric but have slightly different radii of curvature along two principal axes. We observe that the eccentricity of such elliptical mirrors lifts the degeneracy of the polarization eigenmodes. The impact of the eccentricity increases for smaller radii of curvature. A model derived from corrections to the paraxial resonator theory is in excellent agreement with the measurements, showing that geometric effects are the main source of the frequency splitting of polarization modes for the type of microscopic cavity studied here. By rotating one of the mirrors around the cavity axis, the splitting can be tuned. In the case of an identical differential phase shift per mirror, it can even be eliminated, despite a nonvanishing eccentricity of each mirror. We expect our results to have important implications for many experiments in cavity quantum electrodynamics, where Fabry-Perot cavities with small mode volumes are required. [33,34] to applications in quantum information processing, such as the efficient and coherent coupling of atomic states to the polarization of single photons [35]. The latter requires degeneracy of the polarization eigenmodes, which has been achieved for Fabry-Perot cavities built from superpolished mirror substrates [36]. Microfabricated cavities, however, can have increased frequency splittings between polarization eigenmodes, as was first observed in CO 2 laser-machined resonators [10,20]. If the splitting is on the order of the linewidth of the cavity, there can be detrimental effects on all kinds of experiments [37][38][39]. There are two strategies for dealing with the splitting in cavities: to minimize it until it becomes negligible, or to increase it such that the two polarization modes are well separated [38]. In either case, it is necessary to understand and control this splitting.Two potential sources of the splitting of polarization eigenmodes in a Fabry-Perot cavity can be distinguished. The first one is birefringence of the mirror materials, usually attributed to mechanical stress [39,40]. Combined with a finite penetration depth, this leads to a polarization-dependent phase shift upon reflection. The second source is directly related to the cavity geometry. Its existence is not evident from the usual paraxial resonator theory, in which the cavity field and its resonances are described by a scalar mode function that is independent of the polarization. The paraxial theory does describe the polarization-independent splitting of higher-order transverse modes of equal order in a cavity with elliptical mirrors, but it cannot account for an additional splitting of each of these modes into a doublet via the polarization degree of freedom. Any splitting of the polarization modes thus has to originat...

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“…Both mirror substrates are coated with a high reflectivity dielectric mirror (LASEROPTIK) with the reflection band centered at 1550 nm. This coating exhibits a finesse of F =21000±2000, measured after annealing for 5 hours at 300 • C under atmospheric conditions [25].…”

Section: Device Design and Constructionmentioning

confidence: 99%

High mechanical bandwidth fiber-coupled Fabry-Perot cavity

Janitz¹,

Ruf²,

Fontana³

et al. 2017

Opt. Express

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Fiber-based optical microcavities exhibit high quality factor and low mode volume resonances that make them attractive for coupling light to individual atoms or other microscopic systems. Moreover, their low mass should lead to excellent mechanical response up to high frequencies, opening the possibility for high bandwidth stabilization of the cavity length. Here, we demonstrate a locking bandwidth of 44 kHz achieved using a simple, compact design that exploits these properties. Owing to the simplicity of fiber feedthroughs and lack of free-space alignment, this design is inherently compatible with vacuum and cryogenic environments. We measure the transfer function of the feedback circuit (closed-loop) and the cavity mount itself (open-loop), which, combined with simulations of the mechanical response of our device, provide insight into underlying limitations of the design as well as further improvements that can be made.

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Integrated fiber-mirror ion trap for strong ion-cavity coupling

Cited by 90 publications

References 49 publications

Transverse-mode coupling and diffraction loss in tunable Fabry–Pérot microcavities

Transverse-mode coupling and diffraction loss in tunable Fabry–Pérot microcavities

Frequency splitting of polarization eigenmodes in microscopic Fabry–Perot cavities

High mechanical bandwidth fiber-coupled Fabry-Perot cavity

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