Ultra-Strong Optomechanics Incorporating the Dynamical Casimir Effect

We propose a superconducting circuit comprising a dc-SQUID with mechanically compliant arm embedded in a coplanar microwave cavity that realizes an optomechanical system with a degenerate or non-degenerate parametric interaction generated via the dynamical Casimir effect. For experimentally feasible parameters, this setup is capable of reaching the single-photon, ultra-strong coupling regime, while simultaneously possessing a parametric coupling strength approaching the renormalized cavity frequency. This opens up the possibility of observing the interplay between these two fundamental nonlinearities at the single-photon level.Comment: 7 pages, 1 figure, 1 tabl

Examining Attrition Through The Hierarchal System of Education For Zero - Fifth Year Teachers: A Mixed Methods Study

Teacher attrition was the focal issue of this mixed-methods study. Teachers, for a wide variety of reasons, have left the profession of education due to issues surrounding school leadership, compensation, and student behavior, just to name a few. This study intended to expand the understanding of zero through fifth year teachers, and if this population of teachers is satisfied, and staying in the field, or if they are dissatisfied. By using Bronfenbrenner’s Ecological Systems Theory, the factors within in the hierarchal educational system were explored to identify which part of the educational system is connected to teacher attrition: the microsystem, mesosystem, exosystem, or the macrosystem. Conducted by using convergent parallel design, the quantitative set consisted of Likert-scale responses, while the qualitative set consisted of open-ended response statements. Both data sets were merged to create stronger inferences on significant factors affecting teacher attrition within the hierarchal educational system

Using Blogs as a Strategy to Enhance Students’ Participation and Learning in a Research Methods Course

Research has shown that active learning techniques increase students’ ability to find solutions to problems and help students to think critically about problems. In a technology-driven global arena, in which students will have to compete after they matriculate, effective instruction should advocate effective use of technology incorporating active learning techniques. These techniques should enhance students’ oral and written communication, technological competence, information literacy and critical analysis skills. The purpose of this study is to explore students’ perceptions of blogging as an effective teaching and learning tool for research methods. The study explores if blogging increases students’ performance, if it improves their appreciation of the subject matter and if it reduces their fear/anxiety of the material. The results indicate that blogging could be a viable and effective tool to engage and impact students’ performance

Iterative solutions to the steady state density matrix for optomechanical systems

We present a sparse matrix permutation from graph theory that gives stable incomplete Lower-Upper (LU) preconditioners necessary for iterative solutions to the steady state density matrix for quantum optomechanical systems. This reordering is efficient, adding little overhead to the computation, and results in a marked reduction in both memory and runtime requirements compared to other solution methods, with performance gains increasing with system size. Either of these benchmarks can be tuned via the preconditioner accuracy and solution tolerance. This reordering optimizes the condition number of the approximate inverse, and is the only method found to be stable at large Hilbert space dimensions. This allows for steady state solutions to otherwise intractable quantum optomechanical systems.Comment: 10 pages, 5 figure

Suppressing quantum circuit errors due to system variability

We present a post-compilation quantum circuit optimization technique that takes into account the variability in error rates that is inherent across present day noisy quantum computing platforms. This method consists of computing isomorphic subgraphs to input circuits and scoring each using heuristic cost functions derived from system calibration data. Using standard algorithmic test circuits we show that it is possible to recover on average nearly 40% of missing fidelity using better qubit selection via efficient to compute cost functions. We demonstrate additional performance gains by considering qubit placement over multiple quantum processors. The overhead from these tools is minimal with respect to other compilation steps such as qubit routing as the number of qubits increases. As such, our method can be used to find qubit mappings for problems at the scale of quantum advantage and beyond.Comment: 8 pages, 6 figure

Non-equilibrium Landauer Transport Model for Hawking radiation from a Black Hole

We propose that the Hawking radiation energy and entropy flow rates from a black hole can be viewed as a one-dimensional (1D), non-equilibrium Landauer transport process. Support for this viewpoint comes from previous calculations invoking conformal symmetry in the near-horizon region, which give radiation rates that are identical to those of a single 1D quantum channel connected to a thermal reservoir at the Hawking temperature. The Landauer approach shows in a direct way the particle statistics independence of the energy and entropy fluxes of a black hole radiating into vacuum, as well as one near thermal equilibrium with its environment. As an application of the Landauer approach, we show that Hawking radiation gives a net entropy production that is 50% larger than that obtained assuming standard three-dimensional emission into vacuum.Comment: 14 pages, 2 figures, published versio