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Nonlinear Optics at Ultralow Power using Metastable Xenon in a High Finesse Cavity

Garrett Hickman

Published Jan 1, 2017• 0 citations
Publisher

Abstract

Single-photon cross phase shifts and other single-photon nonlinearities have numerous applications in all-optical quantum information processing. Generating these nonlinearities though can be difficult. This has been done previously using sophisticated experiment setups, for instance using cold atoms optically trapped within the field mode of a high-finesse cavity. Several groups have experimentally achieved single-photon phase shifts on the order of ? using these systems. However, nonlinearities weaker than this have important applications as well. In this work we introduce and demonstrate the idea of using metastable xenon gas in a high-finesse cavity to produce weak single-photon nonlinearities. Our system is relatively simple and robust, avoids problems associated with the accumulation of alkali atoms on mirror surfaces, and is capable of approaching the strong coupling regime of cavity quantum electrodynamics. It can compete with the performance of state-of-the-art cavity systems up to a single-atom cooperativity of roughly ? ? 1. Beyond this, the effects of atomic motion begin to play a larger role and improving the system performance becomes more difficult. After a brief introduction to the use of optical cavities and the spectroscopic properties of metastable xenon, we demonstrate the feasibility of our approach by reviewing two proof-of-principle demonstrations performed in our lab. In these experiments, we measured absorption saturation and cross-phase modulation using a cavity of moderately high finesse F = 3,000. We found that nonlinear effects occurred at ultralow input power levels, proving that the presence of the cavity strongly enhanced the inherent optical nonlinearity of metastable xenon. We close by reviewing our recent progress in building an improved cavity system, which is expected to produce enhanced single photon cross phase shifts.

DOI
10.13016/m2l52f-zbge

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Single-photon cross phase shifts and other single-photon nonlinearities have numerous applications in all-optical quantum information processing. Generating these nonlinearities though can be difficult. This has been done previously using sophisticated experiment setups, for instance using cold atoms optically trapped within the field mode of a high-finesse cavity. Several groups have experimentally achieved single-photon phase shifts on the order of ? using these systems. However, nonlinearities weaker than this have important applications as well. In this work we introduce and demonstrate the idea of using metastable xenon gas in a high-finesse cavity to produce weak single-photon nonlinearities. Our system is relatively simple and robust, avoids problems associated with the accumulation of alkali atoms on mirror surfaces, and is capable of approaching the strong coupling regime of cavity quantum electrodynamics. It can compete with the performance of state-of-the-art cavity systems up to a single-atom cooperativity of roughly ? ? 1. Beyond this, the effects of atomic motion begin to play a larger role and improving the system performance becomes more difficult. After a brief introduction to the use of optical cavities and the spectroscopic properties of metastable xenon, we demonstrate the feasibility of our approach by reviewing two proof-of-principle demonstrations performed in our lab. In these experiments, we measured absorption saturation and cross-phase modulation using a cavity of moderately high finesse F = 3,000. We found that nonlinear effects occurred at ultralow input power levels, proving that the presence of the cavity strongly enhanced the inherent optical nonlinearity of metastable xenon. We close by reviewing our recent progress in building an improved cavity system, which is expected to produce enhanced single photon cross phase shifts.
Weak single-photon nonlinearities have many potential applications in quantum computing and quantum information. Here we demonstrate a relatively simple system for producing low-power cross-phase modulation using metastable xenon inside a high-finesse cavity. The use of a noble gas such as xenon eliminates the contamination of the high-finesse mirrors that can occur when using alkali metal vapors such as rubidium. Cross-phase shifts of 5 mrad with 4.5-fJ control pulses were demonstrated. Numerical solutions of the master equation are in good agreement with the experimental results, and they predict that cross-phase shifts greater than 1 mrad per control photon should be achievable by reducing the size of the cavity.
Strong saturated absorption at nanowatt power levels has been demonstrated using metastable xenon in a high finesse optical cavity. The use of metastable xenon allows a high quality factor of Q = 2 × 10(8) to be achieved at relatively high atomic densities without any contamination or damage to the optical surfaces, which is often a problem when using high-density rubidium or other alkali atoms. This technique provides a relatively straightforward way to produce nonlinearities at the single-photon level with possible applications in quantum communications and computing.
The ability to control light with light at ultralow powers has been a major avenue of research in photonics with applications to optical communications, computation, and signal processing. Such light-by-light scattering is achieved in a medium with a strong light-matter interaction, and for the development of quantum information networks it is important to demonstrate such effects near the single-photon level. Alkali-metal vapors such as rubidium (Rb) enable strong light-matter interactions due to the large cross section per atom and well-defined energy level structure, while the use of optical fibers offers the advantage of possible integration with modern optical communication systems. Hollow-core photonic band-gap fibers (PBGFs) can combine both these technologies such that both the atoms and the optical fields are transversely confined to a region that is a few wavelengths in size, which offers the prospect of exploring few-photon nonlinear interactions. We generate large optical depths in such a Rb-PBGF system, and the tight light confinement, high vapor density and long interaction length allow us to perform nonlinear optics at ultralow power. We demonstrate large signal amplification (>100) and frequency conversion using a four-wave mixing process with only microwatts of pump power. This is, to our knowledge, the largest gain observed at such low power. We perturb the coherence of this four-wave mixing to demonstrate all-optical modulation at unprecedented bandwidths (~300 MHz) for an atomic-vapor system, with an energy density of only tens of pho- tons per atomic cross-section, comparable to that achieved in more elaborate setups based on cold-atomic clouds. We then demonstrate an enhancement of several orders of magnitude in degenerate two-photon absorption in our RbPBGF system over that achieved in bulk vapor cells in a focused beam geometry. This allows us to directly measure two-photon absorption from a beam by detecting its intensity on a photodiode. Further, employing a near-resonant, non-degenerate two-photon transition in Rb, we demonstrate all-optical intensity modulation with just a few photons (<20), or only a few attojoules of energy, at relatively large bandwidths (~50 MHz) for such a sensitive scheme. This result takes us to within an order of magnitude of single-photon switching, and improves upon previous experiments for freely propagating optical fields, including those in cold-atoms. Finally, we produce relatively large cross-phase shifts of a few milliradians on a meter beam with <20 signal photons by tuning slightly away from resonance on the same non-degenerate two-photon transition. This corresponds to a phase shift of 0.3 milliradian per photon, with a fast response time of <5 ns. This represents, to our knowledge, the largest such nonlinear phase shift induced in a single-pass through a room temperature medium. Our Rb-PBGF system can thus potentially be employed to realize weak-nonlinearity based quantum computation and quantum non-demolition measurement of photon number. Through these experiments, we show the potential of a Rb-PBGF system for exploring quantum nonlinear optics at ultralow powers. Moreover, our system is simpler and easier to control and manipulate than setups based on cold atomic clouds and/or high-finesse cavities, and holds promise for integration with fiber-optic communication networks.
In third order nonlinear mediums, the intensity of one optical field can modify the phase of another optical field. This is known as cross-phase modulation (XPM) and is important for Quantum Information Processing (QIP) as phase shifts of single-photons that exceed π rad can be used to implement two-qubit quantum logic gates. For a conventional XPM scheme, the Kerr nonlinearity responsible for XPM is too small for appreciable phase shifts to be achieved with low intensity optical fields. However, Electromagnetically Induced Transparency (EIT) can increase this nonlinearity by several orders of magnitude. This thesis discusses the experimental construction of a laser-atomic system capable of EIT modulated XPM. This includes construction of a rubidium magneto-optical trap (RbMOT), characterization of this RbMOT, demonstration of EIT in the RbMOT, and a system capable of detecting optical phase shifts produced by EIT. The talk will conclude with an outlook on further implementations to the experiment that will increase this nonlinearity such that phase shifts at the single-photon level are possible. | 76 pages