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Electromechanics is the field of studying the interaction between microwave resonators and mechanical oscillators. It has been an interesting topic in the recent decade due to its numerous potential applications in science and technology, including ground-state cooling of macroscopic objects, quantum sensing, quantum memory, and quantum transduction. This thesis presents a comprehensive analysis of a project focused on simulating, designing, and modeling electromechanical devices with the ultimate objective of achieving their successful implementation. Through the thesis, after an overview of the theoretical model of electromechanics, I will introduce our design for the device and explain how we simulated it to optimize its characteristics. Next, I will discuss the nanofabrication process we have developed for the device, along with the fundamental aspects of the characterization method and setup. Subsequently, I will present the theoretical model I have developed based on electromechanics. This model has significant potential to open up new avenues for future research, building upon the foundation laid by the current project., Comment: Master's thesis

Incorporating cavity magnonics has opened up a new avenue in controlling non-reciprocity. This work examines a yttrium iron garnet sphere coupled to a planar microwave cavity at milli-Kelvin temperature. Non-reciprocal device behavior results from the cooperation of coherent and dissipative coupling between the Kittel mode and a microwave cavity mode. The device's bi-directional transmission was measured and compared to the theory derived previously in the room temperature experiment. Investigations are also conducted into key performance metrics such as isolation, bandwidth, and insertion loss. The findings point to the coexistence of coherent and dissipative interactions at cryogenic conditions, and one can leverage their cooperation to achieve directional isolation. This work foreshadows the application of a cavity magnonic isolator for on-chip readout and signal processing in superconducting circuitry., Comment: 7 pages