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Laser trapping of atoms and cavity quantum electrodynamics in fibre-tip microcavities

Dong, Jian

Published Jan 1, 2014• 0 citations
Publisher

Abstract

Constructing a quantum network comprising of matter-based stationary qubits and photonic flying qubits is a key goal towards scalable quantum computing. Individually trapped neutral atoms are amongst the most promising candidates for stationary qubits, while single photons emitted from optical cavities appears to be the best approach to forming flying qubits. This thesis presents a fast and versatile method to trap and transport an array of neutral atoms, with the aid of a spatial light modulator (SLM). We demonstrate trapped 87Rb atoms adapting to the arbitrary and dynamic potential landscapes imposed by the SLM. On top of this we also investigate the inclusion of fibre-tip cavities into the experiment. In these microcavities, the mirrors are replaced by ablated fibre-tip faces, coated in a highly reflective dielectric stack. These have the benefit of small geometries, increasing their scalability; which in turns leads to extremely small mode volumes, allowing for strong coupling with atoms inside the cavity modes. We construct and characterise a high finesse ℱ = 120, 000 fibre-tip cavity constructed from two single mode fibres.

DOI
10.5287/ora-zgv2gz8aq

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Constructing a quantum network comprising of matter-based stationary qubits and photonic flying qubits is a key goal towards scalable quantum computing. Individually trapped neutral atoms are amongst the most promising candidates for stationary qubits, while single photons emitted from optical cavities appears to be the best approach to forming flying qubits. This thesis presents a fast and versatile method to trap and transport an array of neutral atoms, with the aid of a spatial light modulator (SLM). We demonstrate trapped 87Rb atoms adapting to the arbitrary and dynamic potential landscapes imposed by the SLM. On top of this we also investigate the inclusion of fibre-tip cavities into the experiment. In these microcavities, the mirrors are replaced by ablated fibre-tip faces, coated in a highly reflective dielectric stack. These have the benefit of small geometries, increasing their scalability; which in turns leads to extremely small mode volumes, allowing for strong coupling with atoms inside the cavity modes. We construct and characterise a high finesse ℱ = 120, 000 fibre-tip cavity constructed from two single mode fibres.
Scalable quantum information processing requires efficient coupling between stationary qubits (trapped atoms, ions, NV centres, etc.) via “flying” single-photon qubits. Here we investigate the optimisation and integration of fibre-tip microcavities into radiofrequency ion traps to achieve (i) high-fidelity transfer of ion qubits onto single photons, (ii) low-loss coupling of cavity photons into single-mode optical fibre, and (iii) achieving conditions (i) and (ii) without disturbing the ion trap. Our cavities are fabricated by laser micro-machining the ends of optical fibres and subsequent coating with a thin dielectric mirror, giving rise to cavity mirrors with a Gaussian profile. These cavities allow for small mode volume and thus large ion-photon coupling fulfilling requirement (i), while simultaneously providing intrinsic coupling to optical fibres, requirement (ii), as long as mode matching between the cavity mode and the fibre mode can be achieved at the cavity mirror. Using a semi-analytical numerical method, we show that Gaussian-shaped mirrors can in fact be used to enhance ion-photon coupling beyond what is possible with more common spherical cavity mirrors. Ion traps are notoriously sensitive to the presence of dielectric materials such as cavity mirrors near the trap centre, preventing requirement (iii) from being achieved. We performed an extensive numerical study of five different common ion traps to find the optimum configurations for integrating fibre-tip cavities with minimised effects on the trapping potentials. We discuss these results and present simple and effective design rules for realising optimum ion-cavity based quantum networks.
One of the most exciting prospects of quantum physics today is to simulate large quantum systems, intractable by classical computation, by connecting many smaller systems together. A cavity-based quantum network of atoms and photons constitutes one such approach, where each cavity interfaces between stationary atomic qubits in a node and photonic qubits travelling along optical fibre channels. For this scheme to work well, the cavity-based interface must be faithful and well-controlled. In this thesis, we construct a fibre-tip Fabry-Pérot cavity by aligning two optical fibre-tips against each other, where each has a concave, mirror-coated surface. Three properties make it highly suitable for interfacing: a small mode volume for strong atom-photon coupling, directly fibre-coupled cavity light, and optical access for trapped atoms. For the latter, we design a scheme that allows for a 2D reconfigurable array of atoms, held in the cavity mode by holographically-generated optical tweezers. Our particular design will allow us to move atoms independently of one another. We find the atom-cavity system parameters for optimal single photon generation, absorption and remote state transfer using V-STIRAP (vacuum-stimulated emission by Raman adiabatic passage). Using master equations and the Nelder-Mead algorithm, we optimise both the parameters and V-STIRAP pulse shapes to do this. We assemble the first fibre cavity formed of two single-mode fibres in ultra-high vacuum. Aligning two single-mode fibres is particularly demanding; we overcome this with an assembly method that gives permanent sub-micron alignment precision, unlike other similar cavities that need realigning using a translation stage. We fully characterise the cavity's parameters, then test it by probabilistically loading atoms from a magneto-optical trap, measuring the Purcell-enhanced fluorescence from the cavity. Altogether, our advances facilitate deterministically controlled, strongly-coupled and networked quantum systems.
A leading strategy for the creation of a scalable quantum computer is through a networked architecture. This would comprise stationary nodes for quantum information processing and photonic channels for their communication and entanglement distribution. In this scheme a coherent interface between light and matter is a critical component, facilitating the deterministic and reversible transfer of quantum information between stationary and travelling qubits. This requirement may be fulfilled by a high finesse optical cavity, whose radiation field is strongly coupled to a trapped quantised emitter. Neutral atoms are an ideal species for the development of such a device, given their inherent compatibility with dielectric mirror surfaces. However, an outstanding challenge in building an elementary network of neutral atom-cavity systems is in establishing a single atom dipole trap within each cavity mode. This thesis presents the development of an open-access cavity suitable for single atom localisation, whilst maintaining strong atom-cavity coupling, {g0,κ,γ} = {11,2.1,3} × 2πMHz, and the efficient extraction of generated photons, η=0.5. We consider cavity design methodology, deriving a connection between the physical properties of the optical resonator and its intended role in the production of single photons. An experimental platform is developed for the creation of cavity mirrors by laser ablation, with a high degree of geometrical control. This is used to produce a set of pyramidal micro-mirrors, demonstrated to represent a favourable alternative to the widespread adoption of fibre-tip cavities. These pyramidal mirrors are shown to support multi-feature resonators, allowing several atom-cavity interfaces to be formed using a pair of substrates. By developing a novel procedure for mirror alignment, a hybrid mirror cavity is fabricated and integrated into an experimental architecture tailored for atomic trapping. Suitability of the cavity for future experimentation is demonstrated by frequency stabilisation to an atomic resonance of 87Rb.
Neutral-atom array and cavity quantum electrodynamics offer complementary strengths for quantum science: scalable, reconfigurable qubit architectures and strong coherent light-matter coupling. Combining them in a single platform requires an optical cavity with simultaneously high cooperativity, sufficient mode volume to accommodate atom array, and ample side optical access for atom trapping, imaging, cooling, and rearrangement, a combination that is challenging to achieve. Here we realize an atomic array integrated with a millimeter-scale Fabry--Pérot cavity whose optically-characterized single-atom cooperativity reaches ηcav=125±13η_{\mathrm{cav}}=125\pm13ηcav​=125±13. Atom-cavity transmission spectra of trapped atoms yield an effective spectroscopic cooperativity ηspec=106±3η_{\mathrm{spec}}=106\pm 3ηspec​=106±3, providing an in-situ verification of strong coupling in the integrated platform. In this integrated system, we achieve a state-measurement fidelity of 99.925−18+15%99.925^{+15}_{-18}\%99.925−18+15​% for a single atom with a 4-μμμs readout time. We also demonstrate simultaneous coupling of up to 21 individually trapped atoms to the antinode of the cavity mode. The key technical advance is a two-step mirror-fabrication method combining precision mechanical shaping and carbon-dioxide laser polishing, which produces concave fused-silica mirrors with sub-millimeter radii of curvature and residual roughness below 2 A˚2~Å2 A˚. Our results establish a regime of cavity-integrated atomic array that simultaneously provides high cooperativity, large mode volume, and flexible manipulation of individual atoms, opening opportunities for cavity-assisted quantum state readout and long-range entanglement-engineering in atom-array platforms.
In many quantum information applications quantum bits (qubits) are stored in single trapped atoms or ions. In particular, single ions held in radiofrequency electromagnetic traps are preferred because of their long achievable decoherence time and record-breaking quantum gate fidelity [1]. However, for scalable quantum information processing many such stationary qubits need to be connected. A preferred way of doing this would be via optical fibres, i.e., by transferring quantum information between stationary qubits with the help of “flying” single-photon qubits. Efficient operation of the quantum network thus requires (i) high-fidelity transfer of an ion qubit onto a single photon, (ii) low-loss coupling of the photon into a single-mode optical fibre, and (iii) achieving conditions (i) and (ii) without disturbing the ion trap.
Single atoms are a promising candidate for the creation of a scalable quantum computer. Neutral atoms trapped by optical fields are especially encouraging due to the full controllability of the trap potential. Single neutral atoms trapped within a fibre-fibre cavity allow us to strongly couple atoms and photons. This creates an efficient atom-photon interface which can compensate for the short state transfer distance inherent of neutral atoms. A spatial light modulator allows for the creation and manipulation of an array of these single atom traps.\n\nIn this research we create a setup to cool and trap neutral rubidium-87 atoms by a combination of a magneto-optical trap (MOT) and a dipole trap. The dipole trap uses a strongly focused, far red-detuned laser, which enables us to trap single atoms via the collisional blockade regime. These traps are realised within a novel glass cell, allowing for great optical access.\n\nThe MOT in this setup is able to trap (4.27 +/- 0.10) * 10^3 atoms with a density of (7.89 +/- 0.56) * 10^9 atoms cm^-3 . The MOT temperature is in the order of 100 μK. We also show the manipulation of these properties, allowing us to tailor the MOT. The dipole trap is created with a trap waist of 37 μm, allowing us to trap a cloud of atoms. With the dipole trap we achieve a lifetime of atoms of (34.8 +/- 2.0) ms.