STM of SMM Mn12 Acetate

University partnerships and collaborations in condensed matter physics are important for the development of public-private academic and industrial projects. STM, in quantum science, is a powerful surface analysis tool that allows the researcher to study specific physical phenomena associated with the wavelike nature of individual atoms and molecules. Through novel probing of the quantum state through the tunneling effect, surfaces can be resolved at the nanometer to Ångstrom level. Scanning tunneling microscopy involves running a tip with a bias voltage across a conducting surface such that atoms and molecules are detected through the quantum effect of wavefunction decay through a classically forbidden potential zone. Hamiltonian analysis in the tip and surface are critical for the development of new qubit candidates and readout schemes. A qubit is like a traditional bit of information, but it contains superimposed (superposition) atomic states in one physical space. Multi-valued solutions to the wave equation are a key research focus for General Physics and wave analysis projects with Zurich Instruments are in development, where novel lock-in amplification and phased array sensor Hilbert-Huygens space filling curves replace the traditional eikonal of sine waves in the quantum variational approach. Yet for all the research into new waveforms, the qubit is, at the end of the day, the paradigm shift into a new Moore's law, quantum information treatment, and novel physics experiment.

SMMs, or single molecule magnets, are qubit candidates that contain a number of spin states accessible in quantization through a Hamiltonian operator. Tuning the spin states of the Mn12 acetate candidate requires an energy operator to couple the spectrum of quantum energy states of the molecule to a conducting and tunneling tip in the near field regime. When the tunneling tip contains the finely tuned voltage that allows for manipulation of the spin states, the readout is possible in the spectroscopy. It is theoretically possible to excite resonances in the quantum spin basis states, like a superposition of multiple states, though a finely tuned Hamiltonian at the tip. The polynomial function of the tip state acts like part of the integral transform of a quantum logic gate. One's imagination can extend into the form of the polynomial and the nature of the quantum state being probed to the ends where the tip current and voltage are modulated to form outputs read out by a classical computer. Mn12's appearance is a core of central manganese atoms with acetate ligands surrounding them. The state's ionization energy in about 10eV, with ground state spin basis splitting of 0.1eV roughy, and countless accessible spin combinations. Central to the idea of spin state manipulation is the electron's quantum nature. The particle is a wave and as such contains multi-valued phased array basis settings that can be also accessed through phase sensing, a new tool General Physics is developing. What has to occur is the tracing of states through a medium or sensor array where the measurement problem is deconvoluted through mathematical analysis of the pseudo-random collapse. By calculating the observable eignevalue as a function of a Riemann zeta distribution rather than a purely randomized collapse, the postulates of quantum mechanics can be reworked. A new fundamental theorem of calculus is also necessary, one that changes the state of the quantum system to a new spacetime indexed inflationary tracing. As such, the logical causation of quantum postulates becomes physicalized. Natural phenomena are tied to logical phenomena and the path to understanding quantum behavior through some physical apparatus nested in a complex adaptive system means that the multi-valued quantum many body particle system is solved. The solution of the n-body problem leads to discussions of supersymmetry and perturbation of symmetric modes, a rethinking of Poincaré. Whatever the case may be, the nature of multi-valued phases of a quantum state are found not just in the superposition of states of the Mn12 for example, but in the distribution of the quantum system again through a deconvolution of the spatial distribution. Image analysis of STM surface scans leads to the pseudo-random Riemann zeta solution, the basis of the primes, where the nature of collapse is not entirely randomized. General Physics is working to develop new approaches to the quantum picture allowing for this prime pseudo-random basis with implications in Monte Carlo MD simulations, qubit collapse functions, and modeling physical systems in engineering.

(Shown in the image is Au(111) surface after sputter and anneal cycle, with dry brush Mn12 deposition. Each cluster of white dots is roughly 1.6nm in radius or one molecule of Mn12.)