This $299,956 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) aims to conduct a systematic study of quantum harmonic analysis, an emerging field that extends classical harmonic analysis techniques to the quantum realm. The project at Clemson University will develop new methods from topological dynamics and harmonic analysis to address open problems in quantum harmonic analysis, laying the groundwork for...
This National Science Foundation (NSF) award under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program provides $238,000 in funding to the University of Southern California (USC) to conduct research, education, and outreach activities focused on understanding the interaction between phonons (lattice vibrations) and many-body correlated electrons, as well as the role of electron-phonon coupling in driving exotic phases in and out of equilibrium. The project aims to push...
The National Science Foundation (NSF) awarded a $240,000 CAREER grant to The Trustees of Columbia University in the City of New York to support theoretical research and educational activities in the rapidly evolving field of quantum materials. The project, funded through the NSF's Mathematical and Physical Sciences (CFDA 47.049) program, aims to study how the quantum geometry of electron wavefunctions affects the collective properties of electrons in both clean and disordered quantum...
This Project Grant award of $292,384 from the National Science Foundation's (CFDA 47.049 - Mathematical and Physical Sciences) will support research by the University of Rhode Island (URI) to investigate a new technique called "phonon modulation" for improving the performance of trapped-ion quantum information processors. The research aims to advance quantum information science and technology, a crucial area for U.S. economic and national security. Additionally, the award will fund the...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $171,227.00 to the University of South Carolina to conduct research on quantum analogues of low-complexity functions on the Hamming cube. The goal is to develop tools to address challenges from the high-dimensional regime and non-commutativity, thereby strengthening connections between harmonic analysis, functional analysis, quantum information...
This $270,457 project grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program supports theoretical research on topological quantum matter and crystalline symmetry. The project aims to: 1) extend theories of two-dimensional strongly interacting crystalline topological phases, 2) perform numerical calculations to understand the emergence of crystalline symmetry-protected topological invariants and their physical properties, and 3) develop methods...
This National Science Foundation Project Grant of $499,708 awarded on March 15, 2022 will fund research at Northern Arizona University through February 28, 2027 to develop techniques for controlling noise in quantum devices through phonon manipulation. The award falls under the NSF Engineering Directorate's CFDA 47.041 program. Specifically, the grantee aims to engineer electronic, photonic and phononic devices to alter the phonon density of states and harness light to transduce mechanical...
This Project Grant award of $300,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will fund research and education focused on the study of novel materials with strong interactions between particles. The research aims to develop new theoretical tools to better understand and predict the unusual behaviors of strongly interacting metals, which exhibit phenomena like high-temperature superconductivity that challenge current theories....
This federal Project Grant award, made by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on hybrid solid-state quantum systems that combine semiconductor spin qubits and superconducting circuits. The $799,123 award to the University of Rhode Island, with a sub-award to the Massachusetts Institute of Technology, aims to advance the state of quantum information science and engineering. The key products or services to be...
This $340,000 collaborative research project, awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports professors at the City College of the City University of New York and Lehman College in advancing the understanding of fundamental physical phenomena like quantum entanglement and the relationship between gravity and the curvature of space and time. The research will utilize mathematical tools from geometry, abstract...