The efficiency of the frequency conversion process at the heart of Raman heterodyne spectroscopy was improved by nearly four orders of magnitude by resonant enhancement of both the pump and signal optical fields. Our results using an erbium doped Y2SiO5 crystal at temperatures near 4 K suggest that such an approach is promising for the quantum conversion of microwave to optical photons.
PACS numbers:The ability to transfer quantum states encoded in microwave frequency excitations to light would greatly enrich superconducting qubits as a platform for quantum information processing. Superconducting qubits operate in the microwave frequency regime and can interact strongly with microwave photons [1][2][3][4]. However quantum states encoded in microwave photons are swamped by thermal noise at room temperature. This and the relatively high loss of room temperature microwave transmission lines means that microwave photons can't be used for long distance quantum communication. Another issue is that apart from superconducting qubits they interact much more weakly with resonant media such as atoms, ions, or solid state systems than does light. This makes it much more difficult to make quantum memories for microwave photons [5][6][7][8] than to make quantum memories for light [9][10][11][12][13]. Microwave to optical frequency conversion is also being investigated as a way of protecting classical receivers from overloading by high power surges [14,15]. The idea here is to replace the electronic components of the front end of a microwave receiver with dielectric ones, which are much more robust against high power input signals.A number of approaches with a wide range of nonlinear frequency mixing mechanisms have been investigated. Optomechanical approaches are the most advanced [16][17][18] achieving double digit percentage quantum efficiencies with kilohertz bandwiths and with a few added photons of noise. Electroopic approaches [14,15,19] have achieved 0.1% quantum efficiencies with megahertz bandwiths [20] using an optical whispering gallery mode resonator made of lithium niobate. Faraday rotation and ferromagnetic resonance in yttrium iron garnet (YIG) has been explored [21-23], as well as using Rydberg atoms [24,25] and quantum dots [26]. This work follows theoretical proposals for microwave-optical conversion using rare earth ions in solids [27,28]. The approach followed here [27] is a cavity enhanced version of Raman * Electronic address: stephen.chen@otago.ac.nz † Electronic address: jevon.longdell@otago.ac.nz heterodyne spectroscopy [29,30]. Raman heterodyne spectroscopy is a method for optically detecting spin resonances. A radio-frequency (RF) signal and an optical pump beam are applied to the sample, and if both the RF and the optical fields are near-resonant with transitions in the material the sum or difference frequency generation can result, as shown in Fig. 1. The generated optical field is in the same mode as the exciting optical field and so easily detected as a beat on the optical pump. Raman heterodyne ...