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Emily and Brian win URA award!


Emily and Brian have received the Undergraduate Research Award, a very competitive award which recognizes their research proposals as among the most promising. They have each been awarded $1000 in funding to carry out their proposed research. As URA Scholars, Emily and Brian will present their findings at next year's Undergraduate Research and Creative Achievement Day (URCAD). Read a bit about their projects below!

Brian's project:

The Quantum Euler relation will be probed in different contexts to find optimal measurements where the quantum Euler relation becomes tight. The existing quantum Euler relation will be extended to generalized measurements, POVMs, which stands for positive operator-valued measures. POVMs are measures that are semi-definite, positive operators on a Hilbert space. These measurements are a generalization of projective measurements. The main goal of this theoretical research project is to find optimal quantum measurements for the quantum Euler relation. The von Neumann entropy, quantum discord, ergotropy, which is the maximum quantity of work that can be extracted from a quantum system, expectation values, and mutual information are all quantities that will be examined either analytically or numerically.  

            Physical models in higher dimensional states and different master equations are two scenarios in which the tightness of the quantum Euler relation will be explored. In the original paper, a collective dissipation model with particular X-state density matrices was used with a two-qubit system coupled to a thermal bath with an inverse temperature. This collective dissipation model will be used in higher dimensions and with different master equations to find optimal measurements for the quantum Euler relation.  

Emily's project: 
The goal of this project is to determine if the curvature of spacetime affects the efficiency of an engine. We will do this by combining our knowledge of thermodynamics and previous studies of black holes and endoreversible Otto engines. These, along with endoreversible Brayton engines, can be used to find the efficiency of a Brayton and Otto engine with a black hole as its working medium. As a main result we will be analyzing how the curvature of spacetime impacts the maximal efficiency. Ultimately we hope to answer: are engines in highly curved spacetimes more or less efficient than in flat spacetimes? The curvature of spacetime alters this area and could therefore produce more (or less) entropy, which we could figure with further manipulations of our given equations.

Posted: May 27, 2022, 10:36 AM