Olefin cyclopropanation and carbon-hydrogen amination via carbene and nitrene transfers catalyzed by engineered cytochrome P450 enzymes

Synthetic biology promises to transform organic synthesis by enabling artificial catalysis in living cells. I start by reviewing the state of the art in this young field and recognizing that new approaches are required for designing enzymes that catalyze nonnatural reactions, in order to expand the scope of biocatalytic transformations. Carbene and nitrene transfers to C=C and C-H bonds are reactions of tremendous synthetic utility that lack biological counterparts. I show that various heme proteins, including cytochrome P450BM3, will catalyze promiscuous levels of olefin cyclopropanation when provided with the appropriate synthetic reagents (e.g., diazoesters and styrene). Only a few amino acid substitutions are required to install synthetically useful levels of stereoselective cyclopropanation activity in P450BM3. Understanding that the ferrous-heme is the active species for catalysis and that the artificial reagents are unable to induce a spin-shift-dependent increase in the redox potential of the ferric P450, I design a high-potential serine-heme ligated P450 (P411) that can efficiently catalyze cyclopropanation using NAD(P)H. Intact E. coli whole-cells expressing P411 are highly efficient asymmetric catalysts for olefin cyclopropanation. I also show that engineered P450s can catalyze intramolecular amination of benzylic C-H bonds from arylsulfonyl azides. Finally, I review other examples of where synthetic reagents have been used to drive the evolution of novel enzymatic activity in the environment and in the laboratory. I invoke preadaptation to explain these observations and propose that other man-invented reactions may also be transferrable to natural enzymes by using a mechanism-based approach for choosing the enzymes and the reagents. Overall, this work shows that existing enzymes can be readily adapted for catalysis of synthetically important reactions not previously observed in nature.

Quantum Electromechanics with Two Tone Drive

In the field of mechanics, it is a long standing goal to measure quantum behavior in ever larger and more massive objects. It may now seem like an obvious conclusion, but until recently it was not clear whether a macroscopic mechanical resonator -- built up from nearly 10¹³ atoms -- could be fully described as an ideal quantum harmonic oscillator. With recent advances in the fields of opto- and electro-mechanics, such systems offer a unique advantage in probing the quantum noise properties of macroscopic electrical and mechanical devices, properties that ultimately stem from Heisenberg's uncertainty relations. Given the rapid progress in device capabilities, landmark results of quantum optics are now being extended into the regime of macroscopic mechanics.

The purpose of this dissertation is to describe three experiments -- motional sideband asymmetry, back-action evasion (BAE) detection, and mechanical squeezing -- that are directly related to the topic of measuring quantum noise with mechanical detection. These measurements all share three pertinent features: they explore quantum noise properties in a macroscopic electromechanical device driven by a minimum of two microwave drive tones, hence the title of this work: "Quantum electromechanics with two tone drive".

In the following, we will first introduce a quantum input-output framework that we use to model the electromechanical interaction and capture subtleties related to interpreting different microwave noise detection techniques. Next, we will discuss the fabrication and measurement details that we use to cool and probe these devices with coherent and incoherent microwave drive signals. Having developed our tools for signal modeling and detection, we explore the three-wave mixing interaction between the microwave and mechanical modes, whereby mechanical motion generates motional sidebands corresponding to up-down frequency conversions of microwave photons. Because of quantum vacuum noise, the rates of these processes are expected to be unequal. We will discuss the measurement and interpretation of this asymmetric motional noise in a electromechanical device cooled near the ground state of motion.

Next, we consider an overlapped two tone pump configuration that produces a time-modulated electromechanical interaction. By careful control of this drive field, we report a quantum non-demolition (QND) measurement of a single motional quadrature. Incorporating a second pair of drive tones, we directly measure the measurement back-action associated with both classical and quantum noise of the microwave cavity. Lastly, we slightly modify our drive scheme to generate quantum squeezing in a macroscopic mechanical resonator. Here, we will focus on data analysis techniques that we use to estimate the quadrature occupations. We incorporate Bayesian spectrum fitting and parameter estimation that serve as powerful tools for incorporating many known sources of measurement and fit error that are unavoidable in such work.