This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $451,130 to Michigan State University to conduct research on the effects of disorder in quantum system models. Specifically, the award will support three main investigations.
The first will apply tools from probability and ergodic theory to questions in quantum information science, building on the discovery of a general ergodic theorem for open quantum systems. The second aims to develop quantitative methods for estimating diffusivity for quantum particles subject to thermal noise in open and noisy, extensive systems. The third seeks to clarify the nature of Anderson localization in many-body systems and systems with correlated randomness, to further understand how interference effects from strong static disorder can trap wave functions. The research is expected to deepen theoretical and mathematical understanding of disorder effects in key models of quantum evolution with non-negligible environmental interactions.
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